diff --git a/docs/paper/reductions.typ b/docs/paper/reductions.typ index 399057804..e46c53bca 100644 --- a/docs/paper/reductions.typ +++ b/docs/paper/reductions.typ @@ -114,6 +114,7 @@ "SubgraphIsomorphism": [Subgraph Isomorphism], "PartitionIntoTriangles": [Partition Into Triangles], "FlowShopScheduling": [Flow Shop Scheduling], + "MultiprocessorScheduling": [Multiprocessor Scheduling], "MinimumTardinessSequencing": [Minimum Tardiness Sequencing], "SequencingWithinIntervals": [Sequencing Within Intervals], "DirectedTwoCommodityIntegralFlow": [Directed Two-Commodity Integral Flow], @@ -2377,6 +2378,75 @@ NP-completeness was established by Garey, Johnson, and Stockmeyer @gareyJohnsonS ) ] +#{ + let x = load-model-example("MultiprocessorScheduling") + let lengths = x.instance.lengths + let num-processors = x.instance.num_processors + let deadline = x.instance.deadline + let assignment = x.optimal.at(0).config + let tasks-by-processor = range(num-processors).map(p => + range(lengths.len()).filter(i => assignment.at(i) == p) + ) + let loads = tasks-by-processor.map(tasks => tasks.map(i => lengths.at(i)).sum()) + let max-x = (num-processors - 1) * 1.8 + 1.0 + [ + #problem-def("MultiprocessorScheduling")[ + Given a finite set $T$ of tasks with processing lengths $ell: T -> ZZ^+$, a number $m in ZZ^+$ of identical processors, and a deadline $D in ZZ^+$, determine whether there exists an assignment $p: T -> {1, dots, m}$ such that for every processor $i in {1, dots, m}$ we have $sum_(t in T: p(t) = i) ell(t) <= D$. + ][ + Multiprocessor Scheduling is problem SS8 in Garey & Johnson @garey1979. Their original formulation uses start times on identical processors, but because tasks are independent and non-preemptive, any feasible schedule can be packed contiguously on each processor. The model implemented here therefore uses processor-assignment variables, and feasibility reduces to checking that every processor's total load is at most $D$. For fixed $m$, dynamic programming over load vectors gives pseudo-polynomial algorithms; for general $m$, the best known exact algorithm runs in $O^*(2^n)$ time via inclusion-exclusion over set partitions @bjorklund2009. + + *Example.* Let $T = {t_1, dots, t_5}$ with lengths $(4, 5, 3, 2, 6)$, $m = 2$, and $D = 10$. The satisfying assignment $(1, 2, 2, 2, 1)$ places $t_1$ and $t_5$ on processor 1 and $t_2, t_3, t_4$ on processor 2. The verifier computes the processor loads $4 + 6 = 10$ and $5 + 3 + 2 = 10$, so both meet the deadline exactly. + + #figure({ + canvas(length: 1cm, { + let scale = 0.25 + let width = 1.0 + let gap = 0.8 + let colors = ( + rgb("#4e79a7"), + rgb("#e15759"), + rgb("#76b7b2"), + rgb("#f28e2b"), + rgb("#59a14f"), + ) + + for p in range(num-processors) { + let x0 = p * (width + gap) + draw.rect((x0, 0), (x0 + width, deadline * scale), stroke: 0.8pt + black) + let y = 0 + for task in tasks-by-processor.at(p) { + let len = lengths.at(task) + let col = colors.at(task) + draw.rect( + (x0, y), + (x0 + width, y + len * scale), + fill: col.transparentize(25%), + stroke: 0.4pt + col, + ) + draw.content( + (x0 + width / 2, y + len * scale / 2), + text(7pt, fill: white)[$t_#(task + 1)$], + ) + y += len * scale + } + draw.content((x0 + width / 2, -0.3), text(8pt)[$P_#(p + 1)$]) + draw.content((x0 + width / 2, deadline * scale + 0.25), text(7pt)[$L_#(p + 1) = #loads.at(p)$]) + } + + draw.line( + (-0.15, deadline * scale), + (max-x + 0.15, deadline * scale), + stroke: (dash: "dashed", paint: luma(150), thickness: 0.5pt), + ) + draw.content((-0.45, deadline * scale), text(7pt)[$D$]) + }) + }, + caption: [Canonical Multiprocessor Scheduling instance with 5 tasks on 2 processors. Stacked blocks show the satisfying assignment $(1, 2, 2, 2, 1)$; both processor loads equal the deadline $D = 10$.], + ) + ] + ] +} + #{ let x = load-model-example("SequencingWithinIntervals") let ntasks = x.instance.lengths.len() diff --git a/docs/paper/references.bib b/docs/paper/references.bib index 34fc92a17..e85884d5e 100644 --- a/docs/paper/references.bib +++ b/docs/paper/references.bib @@ -40,6 +40,16 @@ @article{shang2018 doi = {10.1016/j.cor.2017.10.015} } +@article{brucker1977, + author = {Peter Brucker and Jan Karel Lenstra and Alexander H. G. Rinnooy Kan}, + title = {Complexity of Machine Scheduling Problems}, + journal = {Annals of Discrete Mathematics}, + volume = {1}, + pages = {343--362}, + year = {1977}, + doi = {10.1016/S0167-5060(08)70743-X} +} + @inproceedings{karp1972, author = {Richard M. Karp}, title = {Reducibility among Combinatorial Problems}, diff --git a/docs/src/cli.md b/docs/src/cli.md index 404c03ef1..563727f23 100644 --- a/docs/src/cli.md +++ b/docs/src/cli.md @@ -515,8 +515,9 @@ Source evaluation: Valid(2) ``` > **Note:** The ILP solver requires a reduction path from the target problem to ILP. -> Some problems (e.g., BoundedComponentSpanningForest, LengthBoundedDisjointPaths) do not currently have one, so use -> `pred solve --solver brute-force` for these. +> Some problems do not currently have one. Examples include BoundedComponentSpanningForest, +> LengthBoundedDisjointPaths, QUBO, SpinGlass, MaxCut, CircuitSAT, and MultiprocessorScheduling. +> Use `pred solve --solver brute-force` for these, or reduce to a problem that supports ILP first. > For other problems, use `pred path ILP` to check whether an ILP reduction path exists. ## Shell Completions diff --git a/problemreductions-cli/src/cli.rs b/problemreductions-cli/src/cli.rs index 2ed085d11..eadbfc925 100644 --- a/problemreductions-cli/src/cli.rs +++ b/problemreductions-cli/src/cli.rs @@ -243,6 +243,7 @@ Flags by problem type: BMF --matrix (0/1), --rank SteinerTree --graph, --edge-weights, --terminals CVP --basis, --target-vec [--bounds] + MultiprocessorScheduling --lengths, --num-processors, --deadline SequencingWithinIntervals --release-times, --deadlines, --lengths OptimalLinearArrangement --graph, --bound RuralPostman (RPP) --graph, --edge-weights, --required-edges, --bound @@ -276,6 +277,7 @@ Examples: pred create MIS/KingsSubgraph --positions \"0,0;1,0;1,1;0,1\" pred create MIS/UnitDiskGraph --positions \"0,0;1,0;0.5,0.8\" --radius 1.5 pred create MIS --random --num-vertices 10 --edge-prob 0.3 + pred create MultiprocessorScheduling --lengths 4,5,3,2,6 --num-processors 2 --deadline 10 pred create BiconnectivityAugmentation --graph 0-1,1-2,2-3 --potential-edges 0-2:3,0-3:4,1-3:2 --budget 5 pred create FVS --arcs \"0>1,1>2,2>0\" --weights 1,1,1 pred create UndirectedTwoCommodityIntegralFlow --graph 0-2,1-2,2-3 --capacities 1,1,2 --source-1 0 --sink-1 3 --source-2 1 --sink-2 3 --requirement-1 1 --requirement-2 1 @@ -432,7 +434,7 @@ pub struct CreateArgs { /// Release times for SequencingWithinIntervals (comma-separated, e.g., "0,0,5") #[arg(long)] pub release_times: Option, - /// Processing lengths for SequencingWithinIntervals (comma-separated, e.g., "3,1,1") + /// Processing lengths (comma-separated, e.g., "4,5,3,2,6") #[arg(long)] pub lengths: Option, /// Terminal vertices for SteinerTree or MinimumMultiwayCut (comma-separated indices, e.g., "0,2,4") @@ -474,10 +476,10 @@ pub struct CreateArgs { /// Task lengths for FlowShopScheduling (semicolon-separated rows: "3,4,2;2,3,5;4,1,3") #[arg(long)] pub task_lengths: Option, - /// Deadline for FlowShopScheduling + /// Deadline for FlowShopScheduling or MultiprocessorScheduling #[arg(long)] pub deadline: Option, - /// Number of processors/machines for FlowShopScheduling + /// Number of processors/machines for FlowShopScheduling or MultiprocessorScheduling #[arg(long)] pub num_processors: Option, /// Alphabet size for SCS (optional; inferred from max symbol + 1 if omitted) diff --git a/problemreductions-cli/src/commands/create.rs b/problemreductions-cli/src/commands/create.rs index 695c1cd88..2831a9ef5 100644 --- a/problemreductions-cli/src/commands/create.rs +++ b/problemreductions-cli/src/commands/create.rs @@ -14,7 +14,8 @@ use problemreductions::models::graph::{ }; use problemreductions::models::misc::{ BinPacking, FlowShopScheduling, LongestCommonSubsequence, MinimumTardinessSequencing, - PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, SubsetSum, + MultiprocessorScheduling, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, + SubsetSum, }; use problemreductions::models::BiconnectivityAugmentation; use problemreductions::prelude::*; @@ -226,7 +227,7 @@ fn type_format_hint(type_name: &str, graph_type: Option<&str>) -> &'static str { Some("UnitDiskGraph") => "float positions: \"0.0,0.0;1.0,0.0\"", _ => "edge list: 0-1,1-2,2-3", }, - "Vec" => "comma-separated integers: 1,2,3", + "Vec" => "comma-separated integers: 4,5,3,2,6", "Vec" => "comma-separated: 1,2,3", "Vec" => "comma-separated indices: 0,2,4", "Vec<(usize, usize, W)>" | "Vec<(usize,usize,W)>" => { @@ -288,6 +289,7 @@ fn example_for(canonical: &str, graph_type: Option<&str>) -> &'static str { } "PartitionIntoTriangles" => "--graph 0-1,1-2,0-2", "Factoring" => "--target 15 --m 4 --n 4", + "MultiprocessorScheduling" => "--lengths 4,5,3,2,6 --num-processors 2 --deadline 10", "MinimumMultiwayCut" => "--graph 0-1,1-2,2-3 --terminals 0,2 --edge-weights 1,1,1", "SequencingWithinIntervals" => "--release-times 0,0,5 --deadlines 11,11,6 --lengths 3,1,1", "SteinerTree" => "--graph 0-1,1-2,1-3,3-4 --edge-weights 2,2,1,1 --terminals 0,2,4", @@ -1286,6 +1288,34 @@ pub fn create(args: &CreateArgs, out: &OutputConfig) -> Result<()> { ) } + // MultiprocessorScheduling + "MultiprocessorScheduling" => { + let usage = "Usage: pred create MultiprocessorScheduling --lengths 4,5,3,2,6 --num-processors 2 --deadline 10"; + let lengths_str = args.lengths.as_deref().ok_or_else(|| { + anyhow::anyhow!( + "MultiprocessorScheduling requires --lengths, --num-processors, and --deadline\n\n{usage}" + ) + })?; + let num_processors = args.num_processors.ok_or_else(|| { + anyhow::anyhow!("MultiprocessorScheduling requires --num-processors\n\n{usage}") + })?; + if num_processors == 0 { + bail!("MultiprocessorScheduling requires --num-processors > 0\n\n{usage}"); + } + let deadline = args.deadline.ok_or_else(|| { + anyhow::anyhow!("MultiprocessorScheduling requires --deadline\n\n{usage}") + })?; + let lengths: Vec = util::parse_comma_list(lengths_str)?; + ( + ser(MultiprocessorScheduling::new( + lengths, + num_processors, + deadline, + ))?, + resolved_variant.clone(), + ) + } + // MinimumMultiwayCut "MinimumMultiwayCut" => { let (graph, _) = parse_graph(args).map_err(|e| { @@ -1708,7 +1738,6 @@ pub fn create(args: &CreateArgs, out: &OutputConfig) -> Result<()> { resolved_variant.clone(), ) } - _ => bail!("{}", crate::problem_name::unknown_problem_error(canonical)), }; diff --git a/problemreductions-cli/src/commands/inspect.rs b/problemreductions-cli/src/commands/inspect.rs index 3a5d37cad..c8fb7c27c 100644 --- a/problemreductions-cli/src/commands/inspect.rs +++ b/problemreductions-cli/src/commands/inspect.rs @@ -40,8 +40,17 @@ fn inspect_problem(pj: &ProblemJson, out: &OutputConfig) -> Result<()> { } text.push_str(&format!("Variables: {}\n", problem.num_variables_dyn())); - // Solvers - text.push_str("Solvers: ilp (default), brute-force\n"); + let solvers = if problem.supports_ilp_solver() { + vec!["ilp", "brute-force"] + } else { + vec!["brute-force"] + }; + let solver_summary = if solvers.first() == Some(&"ilp") { + "ilp (default), brute-force".to_string() + } else { + "brute-force".to_string() + }; + text.push_str(&format!("Solvers: {solver_summary}\n")); // Reductions let outgoing = graph.outgoing_reductions(name); @@ -56,7 +65,7 @@ fn inspect_problem(pj: &ProblemJson, out: &OutputConfig) -> Result<()> { "variant": variant, "size_fields": size_fields, "num_variables": problem.num_variables_dyn(), - "solvers": ["ilp", "brute-force"], + "solvers": solvers, "reduces_to": targets, }); diff --git a/problemreductions-cli/src/commands/solve.rs b/problemreductions-cli/src/commands/solve.rs index bdbc1db66..663ee33b3 100644 --- a/problemreductions-cli/src/commands/solve.rs +++ b/problemreductions-cli/src/commands/solve.rs @@ -97,7 +97,7 @@ fn solve_problem( result } "ilp" => { - let result = problem.solve_with_ilp()?; + let result = problem.solve_with_ilp().map_err(add_ilp_solver_hint)?; let solver_desc = if name == "ILP" { "ilp".to_string() } else { @@ -139,7 +139,7 @@ fn solve_bundle(bundle: ReductionBundle, solver_name: &str, out: &OutputConfig) // 2. Solve the target problem let target_result = match solver_name { "brute-force" => target.solve_brute_force()?, - "ilp" => target.solve_with_ilp()?, + "ilp" => target.solve_with_ilp().map_err(add_ilp_solver_hint)?, _ => unreachable!(), }; @@ -200,3 +200,14 @@ fn solve_bundle(bundle: ReductionBundle, solver_name: &str, out: &OutputConfig) } result } + +fn add_ilp_solver_hint(err: anyhow::Error) -> anyhow::Error { + let message = err.to_string(); + if message.starts_with("No reduction path from ") && message.ends_with(" to ILP") { + anyhow::anyhow!( + "{message}\n\nHint: try `--solver brute-force` for direct exhaustive search on small instances." + ) + } else { + err + } +} diff --git a/problemreductions-cli/src/dispatch.rs b/problemreductions-cli/src/dispatch.rs index 95a50fb65..5d63a9f77 100644 --- a/problemreductions-cli/src/dispatch.rs +++ b/problemreductions-cli/src/dispatch.rs @@ -47,6 +47,11 @@ impl LoadedProblem { Ok(SolveResult { config, evaluation }) } + pub fn supports_ilp_solver(&self) -> bool { + let name = self.problem_name(); + name == "ILP" || self.best_ilp_reduction_path().is_some() + } + /// Solve using the ILP solver. If the problem is not ILP, auto-reduce to ILP first. pub fn solve_with_ilp(&self) -> Result { let name = self.problem_name(); @@ -54,7 +59,26 @@ impl LoadedProblem { return solve_ilp(self.as_any()); } - // Auto-reduce to ILP, solve, and map solution back + let reduction_path = self.best_ilp_reduction_path().ok_or_else(|| { + anyhow::anyhow!( + "No reduction path from {} to ILP. Try `--solver brute-force`, or reduce to a problem that supports ILP.", + name + ) + })?; + let graph = ReductionGraph::new(); + + let chain = graph + .reduce_along_path(&reduction_path, self.as_any()) + .ok_or_else(|| anyhow::anyhow!("Failed to execute reduction chain to ILP"))?; + + let ilp_result = solve_ilp(chain.target_problem_any())?; + let config = chain.extract_solution(&ilp_result.config); + let evaluation = self.evaluate_dyn(&config); + Ok(SolveResult { config, evaluation }) + } + + fn best_ilp_reduction_path(&self) -> Option { + let name = self.problem_name(); let source_variant = self.variant_map(); let graph = ReductionGraph::new(); let ilp_variants = graph.variants_for("ILP"); @@ -62,7 +86,7 @@ impl LoadedProblem { let mut best_path = None; for dv in &ilp_variants { - if let Some(p) = graph.find_cheapest_path( + if let Some(path) = graph.find_cheapest_path( name, &source_variant, "ILP", @@ -70,30 +94,16 @@ impl LoadedProblem { &input_size, &MinimizeSteps, ) { - let is_better = best_path - .as_ref() - .is_none_or(|bp: &problemreductions::rules::ReductionPath| p.len() < bp.len()); + let is_better = best_path.as_ref().is_none_or( + |current: &problemreductions::rules::ReductionPath| path.len() < current.len(), + ); if is_better { - best_path = Some(p); + best_path = Some(path); } } } - let reduction_path = best_path.ok_or_else(|| { - anyhow::anyhow!( - "No reduction path from {} to ILP. Try `--solver brute-force`, or reduce to a problem that supports ILP.", - name - ) - })?; - - let chain = graph - .reduce_along_path(&reduction_path, self.as_any()) - .ok_or_else(|| anyhow::anyhow!("Failed to execute reduction chain to ILP"))?; - - let ilp_result = solve_ilp(chain.target_problem_any())?; - let config = chain.extract_solution(&ilp_result.config); - let evaluation = self.evaluate_dyn(&config); - Ok(SolveResult { config, evaluation }) + best_path } } @@ -249,4 +259,26 @@ mod tests { let json = serialize_any_problem("BinPacking", &variant, &problem as &dyn Any).unwrap(); assert_eq!(json, serde_json::to_value(&problem).unwrap()); } + + #[test] + fn test_load_problem_rejects_zero_processor_multiprocessor_scheduling() { + let loaded = load_problem( + "MultiprocessorScheduling", + &BTreeMap::new(), + serde_json::json!({ + "lengths": [1, 2], + "num_processors": 0, + "deadline": 5 + }), + ); + assert!( + loaded.is_err(), + "zero-processor instance should be rejected" + ); + let err = loaded.err().unwrap(); + assert!( + err.to_string().contains("expected positive integer, got 0"), + "unexpected error: {err}" + ); + } } diff --git a/problemreductions-cli/tests/cli_tests.rs b/problemreductions-cli/tests/cli_tests.rs index 803009433..76058569b 100644 --- a/problemreductions-cli/tests/cli_tests.rs +++ b/problemreductions-cli/tests/cli_tests.rs @@ -886,6 +886,68 @@ fn test_create_mis() { std::fs::remove_file(&output_file).ok(); } +#[test] +fn test_create_multiprocessor_scheduling() { + let output_file = std::env::temp_dir().join("pred_test_create_multiprocessor_scheduling.json"); + let output = pred() + .args([ + "-o", + output_file.to_str().unwrap(), + "create", + "MultiprocessorScheduling", + "--lengths", + "4,5,3,2,6", + "--num-processors", + "2", + "--deadline", + "10", + ]) + .output() + .unwrap(); + assert!( + output.status.success(), + "stderr: {}", + String::from_utf8_lossy(&output.stderr) + ); + + let content = std::fs::read_to_string(&output_file).unwrap(); + let json: serde_json::Value = serde_json::from_str(&content).unwrap(); + assert_eq!(json["type"], "MultiprocessorScheduling"); + assert_eq!(json["data"]["lengths"], serde_json::json!([4, 5, 3, 2, 6])); + assert_eq!(json["data"]["num_processors"], 2); + assert_eq!(json["data"]["deadline"], 10); + + std::fs::remove_file(&output_file).ok(); +} + +#[test] +fn test_create_multiprocessor_scheduling_rejects_zero_processors() { + let output = pred() + .args([ + "create", + "MultiprocessorScheduling", + "--lengths", + "4,5,3,2,6", + "--num-processors", + "0", + "--deadline", + "10", + ]) + .output() + .unwrap(); + + assert!(!output.status.success()); + let stderr = String::from_utf8_lossy(&output.stderr); + assert!( + !stderr.contains("panicked at"), + "zero processors should return a user error, got panic output: {stderr}" + ); + assert!( + stderr.contains("requires --num-processors > 0"), + "expected a validation error for zero processors, got: {stderr}" + ); +} + #[test] fn test_create_x3c_alias() { let output_file = std::env::temp_dir().join("pred_test_create_x3c.json"); @@ -3910,6 +3972,64 @@ fn test_inspect_json_output() { std::fs::remove_file(&result_file).ok(); } +#[test] +fn test_inspect_multiprocessor_scheduling_reports_only_brute_force_solver() { + let problem_file = std::env::temp_dir().join("pred_test_inspect_mps_in.json"); + let result_file = std::env::temp_dir().join("pred_test_inspect_mps_out.json"); + let create_out = pred() + .args([ + "-o", + problem_file.to_str().unwrap(), + "create", + "MultiprocessorScheduling", + "--lengths", + "4,5,3,2,6", + "--num-processors", + "2", + "--deadline", + "10", + ]) + .output() + .unwrap(); + assert!( + create_out.status.success(), + "stderr: {}", + String::from_utf8_lossy(&create_out.stderr) + ); + + let output = pred() + .args([ + "-o", + result_file.to_str().unwrap(), + "inspect", + problem_file.to_str().unwrap(), + ]) + .output() + .unwrap(); + assert!( + output.status.success(), + "stderr: {}", + String::from_utf8_lossy(&output.stderr) + ); + + let content = std::fs::read_to_string(&result_file).unwrap(); + let json: serde_json::Value = serde_json::from_str(&content).unwrap(); + let solvers: Vec<&str> = json["solvers"] + .as_array() + .expect("solvers should be an array") + .iter() + .map(|v| v.as_str().unwrap()) + .collect(); + assert_eq!( + solvers, + vec!["brute-force"], + "unexpected solvers: {solvers:?}" + ); + + std::fs::remove_file(&problem_file).ok(); + std::fs::remove_file(&result_file).ok(); +} + #[test] fn test_inspect_undirected_two_commodity_integral_flow_reports_size_fields() { let problem_file = std::env::temp_dir().join("pred_test_utcif_inspect_in.json"); @@ -4314,6 +4434,91 @@ fn test_create_factoring_missing_bits() { ); } +#[test] +fn test_evaluate_multiprocessor_scheduling_rejects_zero_processors_json() { + let problem_file = + std::env::temp_dir().join("pred_test_eval_multiprocessor_zero_processors.json"); + std::fs::write( + &problem_file, + r#"{ + "type": "MultiprocessorScheduling", + "variant": {}, + "data": { + "lengths": [1, 2], + "num_processors": 0, + "deadline": 5 + } +}"#, + ) + .unwrap(); + + let output = pred() + .args([ + "evaluate", + problem_file.to_str().unwrap(), + "--config", + "0,0", + ]) + .output() + .unwrap(); + assert!( + !output.status.success(), + "stdout: {}", + String::from_utf8_lossy(&output.stdout) + ); + let stderr = String::from_utf8_lossy(&output.stderr); + assert!( + stderr.contains("expected positive integer, got 0"), + "stderr: {stderr}" + ); + + std::fs::remove_file(&problem_file).ok(); +} + +#[test] +fn test_solve_multiprocessor_scheduling_default_solver_suggests_brute_force() { + let problem_file = + std::env::temp_dir().join("pred_test_solve_multiprocessor_default_solver.json"); + let create_out = pred() + .args([ + "-o", + problem_file.to_str().unwrap(), + "create", + "MultiprocessorScheduling", + "--lengths", + "4,5,3,2,6", + "--num-processors", + "2", + "--deadline", + "10", + ]) + .output() + .unwrap(); + assert!( + create_out.status.success(), + "stderr: {}", + String::from_utf8_lossy(&create_out.stderr) + ); + + let output = pred() + .args(["solve", problem_file.to_str().unwrap()]) + .output() + .unwrap(); + assert!( + !output.status.success(), + "stdout: {}", + String::from_utf8_lossy(&output.stdout) + ); + let stderr = String::from_utf8_lossy(&output.stderr); + assert!( + stderr.contains("No reduction path from MultiprocessorScheduling to ILP"), + "stderr: {stderr}" + ); + assert!(stderr.contains("--solver brute-force"), "stderr: {stderr}"); + + std::fs::remove_file(&problem_file).ok(); +} + // ---- Timeout tests (H3) ---- #[test] @@ -5095,6 +5300,22 @@ fn test_create_sequencing_within_intervals() { std::fs::remove_file(&output_file).ok(); } +#[test] +fn test_create_model_example_multiprocessor_scheduling() { + let output = pred() + .args(["create", "--example", "MultiprocessorScheduling"]) + .output() + .unwrap(); + assert!( + output.status.success(), + "stderr: {}", + String::from_utf8_lossy(&output.stderr) + ); + let stdout = String::from_utf8(output.stdout).unwrap(); + let json: serde_json::Value = serde_json::from_str(&stdout).unwrap(); + assert_eq!(json["type"], "MultiprocessorScheduling"); +} + #[test] fn test_create_model_example_minimum_multiway_cut() { let output = pred() diff --git a/src/example_db/fixtures/examples.json b/src/example_db/fixtures/examples.json index e31260a21..19aa8e565 100644 --- a/src/example_db/fixtures/examples.json +++ b/src/example_db/fixtures/examples.json @@ -32,6 +32,7 @@ {"problem":"MinimumTardinessSequencing","variant":{},"instance":{"deadlines":[2,3,1,4],"num_tasks":4,"precedences":[[0,2]]},"samples":[{"config":[0,0,0,0],"metric":{"Valid":1}}],"optimal":[{"config":[0,0,0,0],"metric":{"Valid":1}},{"config":[0,0,1,0],"metric":{"Valid":1}},{"config":[0,1,0,0],"metric":{"Valid":1}},{"config":[0,2,0,0],"metric":{"Valid":1}},{"config":[1,0,0,0],"metric":{"Valid":1}},{"config":[1,0,1,0],"metric":{"Valid":1}},{"config":[3,0,0,0],"metric":{"Valid":1}}]}, {"problem":"MinimumVertexCover","variant":{"graph":"SimpleGraph","weight":"i32"},"instance":{"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[1,3,null],[2,3,null],[2,4,null],[3,4,null]],"node_holes":[],"nodes":[null,null,null,null,null]}},"weights":[1,1,1,1,1]},"samples":[{"config":[1,0,0,1,1],"metric":{"Valid":3}}],"optimal":[{"config":[0,1,1,0,1],"metric":{"Valid":3}},{"config":[0,1,1,1,0],"metric":{"Valid":3}},{"config":[1,0,0,1,1],"metric":{"Valid":3}},{"config":[1,0,1,1,0],"metric":{"Valid":3}}]}, {"problem":"MultipleChoiceBranching","variant":{"weight":"i32"},"instance":{"graph":{"inner":{"edge_property":"directed","edges":[[0,1,null],[0,2,null],[1,3,null],[2,3,null],[1,4,null],[3,5,null],[4,5,null],[2,4,null]],"node_holes":[],"nodes":[null,null,null,null,null,null]}},"partition":[[0,1],[2,3],[4,7],[5,6]],"threshold":10,"weights":[3,2,4,1,2,3,1,3]},"samples":[{"config":[1,0,1,0,0,1,0,1],"metric":true}],"optimal":[{"config":[0,0,1,0,0,1,0,1],"metric":true},{"config":[0,1,1,0,0,0,1,1],"metric":true},{"config":[0,1,1,0,0,1,0,1],"metric":true},{"config":[0,1,1,0,1,1,0,0],"metric":true},{"config":[1,0,0,1,0,1,0,1],"metric":true},{"config":[1,0,1,0,0,0,0,1],"metric":true},{"config":[1,0,1,0,0,0,1,1],"metric":true},{"config":[1,0,1,0,0,1,0,0],"metric":true},{"config":[1,0,1,0,0,1,0,1],"metric":true},{"config":[1,0,1,0,1,0,1,0],"metric":true},{"config":[1,0,1,0,1,1,0,0],"metric":true}]}, + {"problem":"MultiprocessorScheduling","variant":{},"instance":{"deadline":10,"lengths":[4,5,3,2,6],"num_processors":2},"samples":[{"config":[0,0,0,0,0],"metric":false},{"config":[0,1,1,1,0],"metric":true}],"optimal":[{"config":[0,1,1,1,0],"metric":true}]}, {"problem":"PaintShop","variant":{},"instance":{"car_labels":["A","B","C"],"is_first":[true,true,false,true,false,false],"num_cars":3,"sequence_indices":[0,1,0,2,1,2]},"samples":[{"config":[0,0,1],"metric":{"Valid":2}}],"optimal":[{"config":[0,0,1],"metric":{"Valid":2}},{"config":[0,1,1],"metric":{"Valid":2}},{"config":[1,0,0],"metric":{"Valid":2}},{"config":[1,1,0],"metric":{"Valid":2}}]}, {"problem":"PartitionIntoTriangles","variant":{"graph":"SimpleGraph"},"instance":{"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[1,2,null],[3,4,null],[3,5,null],[4,5,null],[0,3,null]],"node_holes":[],"nodes":[null,null,null,null,null,null]}}},"samples":[{"config":[0,0,0,1,1,1],"metric":true}],"optimal":[{"config":[0,0,0,1,1,1],"metric":true},{"config":[1,1,1,0,0,0],"metric":true}]}, {"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[-1.0,2.0,0.0],[0.0,-1.0,2.0],[0.0,0.0,-1.0]],"num_vars":3},"samples":[{"config":[1,0,1],"metric":{"Valid":-2.0}}],"optimal":[{"config":[1,0,1],"metric":{"Valid":-2.0}}]}, @@ -55,18 +56,18 @@ {"source":{"problem":"KColoring","variant":{"graph":"SimpleGraph","k":"KN"},"instance":{"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,4,null],[0,5,null],[1,2,null],[1,6,null],[2,3,null],[2,7,null],[3,4,null],[3,8,null],[4,9,null],[5,7,null],[5,8,null],[6,8,null],[6,9,null],[7,9,null]],"node_holes":[],"nodes":[null,null,null,null,null,null,null,null,null,null]}},"num_colors":3}},"target":{"problem":"ILP","variant":{"variable":"bool"},"instance":{"constraints":[{"cmp":"Eq","rhs":1.0,"terms":[[0,1.0],[1,1.0],[2,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[3,1.0],[4,1.0],[5,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[6,1.0],[7,1.0],[8,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[9,1.0],[10,1.0],[11,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[12,1.0],[13,1.0],[14,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[15,1.0],[16,1.0],[17,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[18,1.0],[19,1.0],[20,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[21,1.0],[22,1.0],[23,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[24,1.0],[25,1.0],[26,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[27,1.0],[28,1.0],[29,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[3,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[4,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[2,1.0],[5,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[12,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[13,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[2,1.0],[14,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[15,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[16,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[2,1.0],[17,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[3,1.0],[6,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[4,1.0],[7,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[5,1.0],[8,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[3,1.0],[18,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[4,1.0],[19,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[5,1.0],[20,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[6,1.0],[9,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[7,1.0],[10,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[8,1.0],[11,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[6,1.0],[21,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[7,1.0],[22,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[8,1.0],[23,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[9,1.0],[12,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[10,1.0],[13,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[11,1.0],[14,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[9,1.0],[24,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[10,1.0],[25,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[11,1.0],[26,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[12,1.0],[27,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[13,1.0],[28,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[14,1.0],[29,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[15,1.0],[21,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[16,1.0],[22,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[17,1.0],[23,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[15,1.0],[24,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[16,1.0],[25,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[17,1.0],[26,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[18,1.0],[24,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[19,1.0],[25,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[20,1.0],[26,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[18,1.0],[27,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[19,1.0],[28,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[20,1.0],[29,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[21,1.0],[27,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[22,1.0],[28,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[23,1.0],[29,1.0]]}],"num_vars":30,"objective":[],"sense":"Minimize"}},"solutions":[{"source_config":[0,2,0,1,2,1,1,2,0,0],"target_config":[1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]}]}, {"source":{"problem":"KColoring","variant":{"graph":"SimpleGraph","k":"KN"},"instance":{"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[1,3,null],[2,3,null],[2,4,null],[3,4,null]],"node_holes":[],"nodes":[null,null,null,null,null]}},"num_colors":3}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[-6.0,12.0,12.0,3.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,-6.0,12.0,0.0,3.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,-6.0,0.0,0.0,3.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,-6.0,12.0,12.0,0.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,-6.0,12.0,0.0,0.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,-6.0,0.0,0.0,0.0,0.0,0.0,3.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0,12.0,3.0,0.0,0.0,3.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0,0.0,3.0,0.0,0.0,3.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,0.0,0.0,3.0,0.0,0.0,3.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0,12.0,3.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0,0.0,3.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,0.0,0.0,3.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0,12.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0,12.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-6.0]],"num_vars":15}},"solutions":[{"source_config":[1,2,2,1,0],"target_config":[0,1,0,0,0,1,0,0,1,0,1,0,1,0,0]}]}, {"source":{"problem":"KSatisfiability","variant":{"k":"K2"},"instance":{"clauses":[{"literals":[1,2]},{"literals":[-1,3]},{"literals":[-2,4]},{"literals":[-3,-4]}],"num_vars":4}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[0.0,1.0,-1.0,0.0],[0.0,0.0,0.0,-1.0],[0.0,0.0,0.0,1.0],[0.0,0.0,0.0,0.0]],"num_vars":4}},"solutions":[{"source_config":[0,1,0,1],"target_config":[0,1,0,1]}]}, - {"source":{"problem":"KSatisfiability","variant":{"k":"K3"},"instance":{"clauses":[{"literals":[1,2,-3]},{"literals":[-1,3,4]},{"literals":[2,-4,5]},{"literals":[-2,3,-5]},{"literals":[1,-3,5]},{"literals":[-1,-2,4]},{"literals":[3,-4,-5]}],"num_vars":5}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[0.0,4.0,-4.0,0.0,0.0,4.0,-4.0,0.0,0.0,4.0,-4.0,0.0],[0.0,0.0,-2.0,-2.0,0.0,4.0,0.0,4.0,-4.0,0.0,-4.0,0.0],[0.0,0.0,2.0,-2.0,0.0,1.0,4.0,0.0,4.0,-4.0,0.0,4.0],[0.0,0.0,0.0,4.0,0.0,0.0,-1.0,-4.0,0.0,0.0,-1.0,-4.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,1.0,-1.0,0.0,1.0],[0.0,0.0,0.0,0.0,0.0,-2.0,0.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0,0.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0,0.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0,0.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.0,0.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0]],"num_vars":12}},"solutions":[{"source_config":[0,0,0,0,0],"target_config":[0,0,0,0,0,1,0,0,0,0,0,0]}]}, + 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{"source":{"problem":"KSatisfiability","variant":{"k":"K3"},"instance":{"clauses":[{"literals":[1,2,3]},{"literals":[-1,-2,3]}],"num_vars":3}},"target":{"problem":"SubsetSum","variant":{},"instance":{"sizes":["10010","10001","1010","1001","111","100","10","20","1","2"],"target":"11144"}},"solutions":[{"source_config":[0,0,1],"target_config":[0,1,0,1,1,0,1,1,1,0]}]}, {"source":{"problem":"KSatisfiability","variant":{"k":"KN"},"instance":{"clauses":[{"literals":[1,-2,3]},{"literals":[-1,3,4]},{"literals":[2,-3,-4]}],"num_vars":4}},"target":{"problem":"Satisfiability","variant":{},"instance":{"clauses":[{"literals":[1,-2,3]},{"literals":[-1,3,4]},{"literals":[2,-3,-4]}],"num_vars":4}},"solutions":[{"source_config":[1,1,1,0],"target_config":[1,1,1,0]}]}, {"source":{"problem":"Knapsack","variant":{},"instance":{"capacity":7,"values":[3,4,5,7],"weights":[2,3,4,5]}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[-483.0,240.0,320.0,400.0,80.0,160.0,320.0],[0.0,-664.0,480.0,600.0,120.0,240.0,480.0],[0.0,0.0,-805.0,800.0,160.0,320.0,640.0],[0.0,0.0,0.0,-907.0,200.0,400.0,800.0],[0.0,0.0,0.0,0.0,-260.0,80.0,160.0],[0.0,0.0,0.0,0.0,0.0,-480.0,320.0],[0.0,0.0,0.0,0.0,0.0,0.0,-800.0]],"num_vars":7}},"solutions":[{"source_config":[1,0,0,1],"target_config":[1,0,0,1,0,0,0]}]}, {"source":{"problem":"LongestCommonSubsequence","variant":{},"instance":{"strings":[[65,66,65,67],[66,65,67,65]]}},"target":{"problem":"ILP","variant":{"variable":"bool"},"instance":{"constraints":[{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[1,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[2,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[3,1.0],[4,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[5,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[2,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[3,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[5,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[4,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[0,1.0],[2,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[2,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[3,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[1,1.0],[5,1.0]]},{"cmp":"Le","rhs":1.0,"terms":[[4,1.0],[5,1.0]]}],"num_vars":6,"objective":[[0,1.0],[1,1.0],[2,1.0],[3,1.0],[4,1.0],[5,1.0]],"sense":"Maximize"}},"solutions":[{"source_config":[0,1,1,1],"target_config":[0,0,1,1,0,1]}]}, - 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{"source":{"problem":"TravelingSalesman","variant":{"graph":"SimpleGraph","weight":"i32"},"instance":{"edge_weights":[10,15,20,35,25,30],"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[0,3,null],[1,2,null],[1,3,null],[2,3,null]],"node_holes":[],"nodes":[null,null,null,null]}}}},"target":{"problem":"ILP","variant":{"variable":"bool"},"instance":{"constraints":[{"cmp":"Eq","rhs":1.0,"terms":[[0,1.0],[1,1.0],[2,1.0],[3,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[4,1.0],[5,1.0],[6,1.0],[7,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[8,1.0],[9,1.0],[10,1.0],[11,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[12,1.0],[13,1.0],[14,1.0],[15,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[0,1.0],[4,1.0],[8,1.0],[12,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[1,1.0],[5,1.0],[9,1.0],[13,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[2,1.0],[6,1.0],[10,1.0],[14,1.0]]},{"cmp":"Eq","rhs":1.0,"terms":[[3,1.0],[7,1.0],[11,1.0],[15,1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[16,1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[16,1.0],[5,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[16,1.0],[0,-1.0],[5,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[17,1.0],[4,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[17,1.0],[1,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[17,1.0],[4,-1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[18,1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[18,1.0],[6,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[18,1.0],[1,-1.0],[6,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[19,1.0],[5,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[19,1.0],[2,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[19,1.0],[5,-1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[20,1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[20,1.0],[7,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[20,1.0],[2,-1.0],[7,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[21,1.0],[6,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[21,1.0],[3,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[21,1.0],[6,-1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[22,1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[22,1.0],[4,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[22,1.0],[3,-1.0],[4,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[23,1.0],[7,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[23,1.0],[0,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[23,1.0],[7,-1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[24,1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[24,1.0],[9,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[24,1.0],[0,-1.0],[9,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[25,1.0],[8,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[25,1.0],[1,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[25,1.0],[8,-1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[26,1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[26,1.0],[10,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[26,1.0],[1,-1.0],[10,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[27,1.0],[9,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[27,1.0],[2,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[27,1.0],[9,-1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[28,1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[28,1.0],[11,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[28,1.0],[2,-1.0],[11,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[29,1.0],[10,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[29,1.0],[3,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[29,1.0],[10,-1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[30,1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[30,1.0],[8,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[30,1.0],[3,-1.0],[8,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[31,1.0],[11,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[31,1.0],[0,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[31,1.0],[11,-1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[32,1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[32,1.0],[13,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[32,1.0],[0,-1.0],[13,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[33,1.0],[12,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[33,1.0],[1,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[33,1.0],[12,-1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[34,1.0],[1,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[34,1.0],[14,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[34,1.0],[1,-1.0],[14,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[35,1.0],[13,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[35,1.0],[2,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[35,1.0],[13,-1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[36,1.0],[2,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[36,1.0],[15,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[36,1.0],[2,-1.0],[15,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[37,1.0],[14,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[37,1.0],[3,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[37,1.0],[14,-1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[38,1.0],[3,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[38,1.0],[12,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[38,1.0],[3,-1.0],[12,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[39,1.0],[15,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[39,1.0],[0,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[39,1.0],[15,-1.0],[0,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[40,1.0],[4,-1.0]]},{"cmp":"Le","rhs":0.0,"terms":[[40,1.0],[9,-1.0]]},{"cmp":"Ge","rhs":-1.0,"terms":[[40,1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+ {"source":{"problem":"TravelingSalesman","variant":{"graph":"SimpleGraph","weight":"i32"},"instance":{"edge_weights":[1,2,3],"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[1,2,null]],"node_holes":[],"nodes":[null,null,null]}}}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[-14.0,14.0,14.0,14.0,1.0,1.0,14.0,2.0,2.0],[0.0,-14.0,14.0,1.0,14.0,1.0,2.0,14.0,2.0],[0.0,0.0,-14.0,1.0,1.0,14.0,2.0,2.0,14.0],[0.0,0.0,0.0,-14.0,14.0,14.0,14.0,3.0,3.0],[0.0,0.0,0.0,0.0,-14.0,14.0,3.0,14.0,3.0],[0.0,0.0,0.0,0.0,0.0,-14.0,3.0,3.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,-14.0,14.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,-14.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-14.0]],"num_vars":9}},"solutions":[{"source_config":[1,1,1],"target_config":[0,0,1,0,1,0,1,0,0]}]} ] } diff --git a/src/lib.rs b/src/lib.rs index 90dfc42a4..9904f143b 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -59,7 +59,7 @@ pub mod prelude { }; pub use crate::models::misc::{ BinPacking, Factoring, FlowShopScheduling, Knapsack, LongestCommonSubsequence, - MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, + MinimumTardinessSequencing, MultiprocessorScheduling, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, SubsetSum, }; pub use crate::models::set::{ diff --git a/src/models/misc/mod.rs b/src/models/misc/mod.rs index c4b125274..91a1e8b71 100644 --- a/src/models/misc/mod.rs +++ b/src/models/misc/mod.rs @@ -5,6 +5,7 @@ //! - [`Factoring`]: Integer factorization //! - [`FlowShopScheduling`]: Flow Shop Scheduling (meet deadline on m processors) //! - [`Knapsack`]: 0-1 Knapsack (maximize value subject to weight capacity) +//! - [`MultiprocessorScheduling`]: Schedule tasks on processors to meet a deadline //! - [`LongestCommonSubsequence`]: Longest Common Subsequence //! - [`MinimumTardinessSequencing`]: Minimize tardy tasks in single-machine scheduling //! - [`PaintShop`]: Minimize color switches in paint shop scheduling @@ -18,6 +19,7 @@ mod flow_shop_scheduling; mod knapsack; mod longest_common_subsequence; mod minimum_tardiness_sequencing; +mod multiprocessor_scheduling; pub(crate) mod paintshop; mod sequencing_within_intervals; pub(crate) mod shortest_common_supersequence; @@ -29,6 +31,7 @@ pub use flow_shop_scheduling::FlowShopScheduling; pub use knapsack::Knapsack; pub use longest_common_subsequence::LongestCommonSubsequence; pub use minimum_tardiness_sequencing::MinimumTardinessSequencing; +pub use multiprocessor_scheduling::MultiprocessorScheduling; pub use paintshop::PaintShop; pub use sequencing_within_intervals::SequencingWithinIntervals; pub use shortest_common_supersequence::ShortestCommonSupersequence; @@ -38,6 +41,7 @@ pub use subset_sum::SubsetSum; pub(crate) fn canonical_model_example_specs() -> Vec { let mut specs = Vec::new(); specs.extend(factoring::canonical_model_example_specs()); + specs.extend(multiprocessor_scheduling::canonical_model_example_specs()); specs.extend(paintshop::canonical_model_example_specs()); specs.extend(sequencing_within_intervals::canonical_model_example_specs()); specs.extend(shortest_common_supersequence::canonical_model_example_specs()); diff --git a/src/models/misc/multiprocessor_scheduling.rs b/src/models/misc/multiprocessor_scheduling.rs new file mode 100644 index 000000000..f2f44982c --- /dev/null +++ b/src/models/misc/multiprocessor_scheduling.rs @@ -0,0 +1,173 @@ +//! Multiprocessor Scheduling problem implementation. +//! +//! The Multiprocessor Scheduling problem asks whether a set of tasks +//! can be assigned to identical processors such that no processor's +//! total load exceeds a given deadline. + +use crate::registry::{FieldInfo, ProblemSchemaEntry}; +use crate::traits::{Problem, SatisfactionProblem}; +use serde::{Deserialize, Serialize}; + +inventory::submit! { + ProblemSchemaEntry { + name: "MultiprocessorScheduling", + display_name: "Multiprocessor Scheduling", + aliases: &[], + dimensions: &[], + module_path: module_path!(), + description: "Assign tasks to processors so that no processor's load exceeds a deadline", + fields: &[ + FieldInfo { name: "lengths", type_name: "Vec", description: "Processing time l(t) for each task" }, + FieldInfo { name: "num_processors", type_name: "usize", description: "Number of identical processors m" }, + FieldInfo { name: "deadline", type_name: "u64", description: "Global deadline D" }, + ], + } +} + +/// The Multiprocessor Scheduling problem. +/// +/// Given a set T of tasks with processing times, a number m of identical +/// processors, and a deadline D, determine whether there exists an assignment +/// of tasks to processors such that the total load on each processor does +/// not exceed D. +/// +/// Because tasks are independent and processors are identical, any feasible +/// schedule can be packed processor-by-processor without idle gaps. This makes +/// the scheduling question equivalent to partitioning tasks among processors +/// with per-processor load at most `D`. +/// +/// # Representation +/// +/// Each task has a variable in `{0, ..., m-1}` representing its processor assignment. +/// +/// # Example +/// +/// ``` +/// use problemreductions::models::misc::MultiprocessorScheduling; +/// use problemreductions::{Problem, Solver, BruteForce}; +/// +/// // 5 tasks with lengths [4, 5, 3, 2, 6], 2 processors, deadline 10 +/// let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); +/// let solver = BruteForce::new(); +/// let solution = solver.find_satisfying(&problem); +/// assert!(solution.is_some()); +/// ``` +#[derive(Debug, Clone, Serialize, Deserialize)] +pub struct MultiprocessorScheduling { + /// Processing time for each task. + lengths: Vec, + /// Number of identical processors. + #[serde(deserialize_with = "positive_usize::deserialize")] + num_processors: usize, + /// Global deadline. + deadline: u64, +} + +impl MultiprocessorScheduling { + /// Create a new Multiprocessor Scheduling instance. + /// + /// # Panics + /// Panics if `num_processors` is zero. + pub fn new(lengths: Vec, num_processors: usize, deadline: u64) -> Self { + assert!(num_processors > 0, "num_processors must be positive"); + Self { + lengths, + num_processors, + deadline, + } + } + + /// Returns the processing times for each task. + pub fn lengths(&self) -> &[u64] { + &self.lengths + } + + /// Returns the number of processors. + pub fn num_processors(&self) -> usize { + self.num_processors + } + + /// Returns the deadline. + pub fn deadline(&self) -> u64 { + self.deadline + } + + /// Returns the number of tasks. + pub fn num_tasks(&self) -> usize { + self.lengths.len() + } + + /// Returns the total processing time of all tasks. + pub fn total_length(&self) -> u64 { + self.lengths.iter().sum() + } +} + +impl Problem for MultiprocessorScheduling { + const NAME: &'static str = "MultiprocessorScheduling"; + type Metric = bool; + + fn variant() -> Vec<(&'static str, &'static str)> { + crate::variant_params![] + } + + fn dims(&self) -> Vec { + vec![self.num_processors; self.num_tasks()] + } + + fn evaluate(&self, config: &[usize]) -> bool { + if config.len() != self.num_tasks() { + return false; + } + let m = self.num_processors; + if config.iter().any(|&p| p >= m) { + return false; + } + let mut loads = vec![0u64; m]; + for (i, &processor) in config.iter().enumerate() { + loads[processor] += self.lengths[i]; + } + loads.iter().all(|&load| load <= self.deadline) + } +} + +impl SatisfactionProblem for MultiprocessorScheduling {} + +crate::declare_variants! { + default sat MultiprocessorScheduling => "2^num_tasks", +} + +#[cfg(feature = "example-db")] +pub(crate) fn canonical_model_example_specs() -> Vec { + vec![crate::example_db::specs::ModelExampleSpec { + id: "multiprocessor_scheduling", + build: || { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + crate::example_db::specs::explicit_example( + problem, + vec![vec![0, 0, 0, 0, 0], vec![0, 1, 1, 1, 0]], + vec![vec![0, 1, 1, 1, 0]], + ) + }, + }] +} + +mod positive_usize { + use serde::de::Error; + use serde::{Deserialize, Deserializer}; + + pub fn deserialize<'de, D>(deserializer: D) -> Result + where + D: Deserializer<'de>, + { + let value = usize::deserialize(deserializer)?; + if value == 0 { + return Err(D::Error::custom("expected positive integer, got 0")); + } + Ok(value) + } +} + +#[cfg(test)] +#[path = "../../unit_tests/models/misc/multiprocessor_scheduling.rs"] +mod tests; diff --git a/src/models/mod.rs b/src/models/mod.rs index 73ca52680..785b96f78 100644 --- a/src/models/mod.rs +++ b/src/models/mod.rs @@ -23,8 +23,8 @@ pub use graph::{ }; pub use misc::{ BinPacking, Factoring, FlowShopScheduling, Knapsack, LongestCommonSubsequence, - MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, - SubsetSum, + MinimumTardinessSequencing, MultiprocessorScheduling, PaintShop, SequencingWithinIntervals, + ShortestCommonSupersequence, SubsetSum, }; pub use set::{ ComparativeContainment, ExactCoverBy3Sets, MaximumSetPacking, MinimumSetCovering, SetBasis, diff --git a/src/unit_tests/example_db.rs b/src/unit_tests/example_db.rs index eaf308f1c..2e90069b3 100644 --- a/src/unit_tests/example_db.rs +++ b/src/unit_tests/example_db.rs @@ -67,6 +67,23 @@ fn test_find_model_example_exact_cover_by_3_sets() { ); } +#[test] +fn test_find_model_example_multiprocessor_scheduling() { + let problem = ProblemRef { + name: "MultiprocessorScheduling".to_string(), + variant: BTreeMap::new(), + }; + + let example = find_model_example(&problem).expect("MultiprocessorScheduling example exists"); + assert_eq!(example.problem, "MultiprocessorScheduling"); + assert_eq!(example.variant, problem.variant); + assert!(example.instance.is_object()); + assert!( + !example.optimal.is_empty(), + "canonical example should include satisfying assignments" + ); +} + #[test] fn test_find_model_example_strong_connectivity_augmentation() { let problem = ProblemRef { diff --git a/src/unit_tests/models/misc/multiprocessor_scheduling.rs b/src/unit_tests/models/misc/multiprocessor_scheduling.rs new file mode 100644 index 000000000..13f63158d --- /dev/null +++ b/src/unit_tests/models/misc/multiprocessor_scheduling.rs @@ -0,0 +1,147 @@ +use super::*; +use crate::solvers::{BruteForce, Solver}; +use crate::traits::Problem; + +#[test] +fn test_multiprocessor_scheduling_basic() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + assert_eq!(problem.num_tasks(), 5); + assert_eq!(problem.total_length(), 20); + assert_eq!(problem.lengths(), &[4, 5, 3, 2, 6]); + assert_eq!(problem.num_processors(), 2); + assert_eq!(problem.deadline(), 10); + assert_eq!(problem.total_length(), 20); + assert_eq!(problem.dims(), vec![2; 5]); + assert_eq!( + ::NAME, + "MultiprocessorScheduling" + ); + assert_eq!(::variant(), vec![]); +} + +#[test] +fn test_multiprocessor_scheduling_feasible() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + // Processor 0: tasks 0,4 => 4+6=10, Processor 1: tasks 1,2,3 => 5+3+2=10 + assert!(problem.evaluate(&[0, 1, 1, 1, 0])); +} + +#[test] +fn test_multiprocessor_scheduling_infeasible() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + // Processor 0: tasks 0,1,2,3,4 => 4+5+3+2+6=20 > 10 + assert!(!problem.evaluate(&[0, 0, 0, 0, 0])); +} + +#[test] +fn test_multiprocessor_scheduling_infeasible_tight() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + // Processor 0: tasks 0,1,4 => 4+5+6=15 > 10 + assert!(!problem.evaluate(&[0, 0, 1, 1, 0])); +} + +#[test] +fn test_multiprocessor_scheduling_wrong_config_length() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3], 2, 10); + assert!(!problem.evaluate(&[0, 1])); + assert!(!problem.evaluate(&[0, 1, 0, 1])); +} + +#[test] +fn test_multiprocessor_scheduling_invalid_processor_index() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3], 2, 10); + // Processor index 2 is out of range for 2 processors + assert!(!problem.evaluate(&[0, 2, 0])); +} + +#[test] +fn test_multiprocessor_scheduling_empty_instance() { + let problem = MultiprocessorScheduling::new(vec![], 2, 10); + assert_eq!(problem.num_tasks(), 0); + assert_eq!(problem.dims(), Vec::::new()); + // Empty assignment is always feasible + assert!(problem.evaluate(&[])); +} + +#[test] +fn test_multiprocessor_scheduling_single_task() { + let problem = MultiprocessorScheduling::new(vec![5], 2, 5); + assert!(problem.evaluate(&[0])); + assert!(problem.evaluate(&[1])); +} + +#[test] +fn test_multiprocessor_scheduling_single_task_exceeds_deadline() { + let problem = MultiprocessorScheduling::new(vec![11], 2, 10); + assert!(!problem.evaluate(&[0])); + assert!(!problem.evaluate(&[1])); +} + +#[test] +fn test_multiprocessor_scheduling_three_processors() { + let problem = MultiprocessorScheduling::new(vec![3, 3, 3], 3, 3); + assert_eq!(problem.dims(), vec![3; 3]); + // One task per processor + assert!(problem.evaluate(&[0, 1, 2])); + // Two tasks on one processor exceeds deadline + assert!(!problem.evaluate(&[0, 0, 1])); +} + +#[test] +fn test_multiprocessor_scheduling_brute_force() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + let solver = BruteForce::new(); + let solution = solver.find_satisfying(&problem); + assert!(solution.is_some()); + let config = solution.unwrap(); + assert!(problem.evaluate(&config)); +} + +#[test] +fn test_multiprocessor_scheduling_brute_force_infeasible() { + // Total length = 20, with 2 processors and deadline 9, impossible + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 9); + let solver = BruteForce::new(); + let solution = solver.find_satisfying(&problem); + assert!(solution.is_none()); +} + +#[test] +fn test_multiprocessor_scheduling_serialization() { + let problem = MultiprocessorScheduling::new(vec![4, 5, 3, 2, 6], 2, 10); + let json = serde_json::to_value(&problem).unwrap(); + let restored: MultiprocessorScheduling = serde_json::from_value(json).unwrap(); + assert_eq!(restored.lengths(), problem.lengths()); + assert_eq!(restored.num_processors(), problem.num_processors()); + assert_eq!(restored.deadline(), problem.deadline()); +} + +#[test] +fn test_multiprocessor_scheduling_deserialization_rejects_zero_processors() { + let err = serde_json::from_value::(serde_json::json!({ + "lengths": [1, 2], + "num_processors": 0, + "deadline": 5 + })) + .unwrap_err(); + assert!( + err.to_string().contains("expected positive integer, got 0"), + "unexpected error: {err}" + ); +} + +#[test] +#[should_panic(expected = "num_processors must be positive")] +fn test_multiprocessor_scheduling_zero_processors() { + MultiprocessorScheduling::new(vec![1, 2], 0, 5); +} + +#[test] +fn test_multiprocessor_scheduling_deadline_zero() { + // Only feasible if all lengths are 0 + let problem = MultiprocessorScheduling::new(vec![0, 0], 2, 0); + assert!(problem.evaluate(&[0, 1])); + + let problem2 = MultiprocessorScheduling::new(vec![1, 0], 2, 0); + assert!(!problem2.evaluate(&[0, 1])); +}