Applications of combinatorial optimization / / edited by Vangelis Th. Paschos |
Edizione | [Revised and updated second edition.] |
Pubbl/distr/stampa | London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (449 p.) |
Disciplina | 519.64 |
Collana | Mathematics and Statistics Series |
Soggetto topico | Combinatorial optimization |
ISBN |
1-119-00538-8
1-119-01522-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Chapter 1: Airline Crew Pairing Optimization; 1.1. Introduction; 1.2. Definition of the problem; 1.2.1. Constructing subnetworks; 1.2.2. Pairing costs; 1.2.3. Model; 1.2.4. Case without resource constraints; 1.3. Solution approaches; 1.3.1. Decomposition principles; 1.3.2. Column generation, master problem and subproblem; 1.3.3. Branching methods for finding integer solutions; 1.4. Solving the subproblem for column generation; 1.4.1. Mathematical formulation; 1.4.2. General principle of effective label generation
1.4.3. Case of one single resource: the bucket method1.4.4. Case of many resources: reduction of the resource space; 1.4.4.1. Reduction principle; 1.4.4.2. Approach based on the Lagrangian relaxation; 1.4.4.3. Approach based on the surrogate relaxation; 1.5. Conclusion; 1.6. Bibliography; Chapter 2: The Task Allocation Problem; 2.1. Presentation; 2.2. Definitions and modeling; 2.2.1. Definitions; 2.2.2. The processors; 2.2.3. Communications; 2.2.4. Tasks; 2.2.5. Allocation types; 2.2.5.1. Static allocation; 2.2.5.2. Dynamic allocation; 2.2.5.3. With or without pre-emption 2.2.5.4. Task duplication2.2.6. Allocation/scheduling; 2.2.7. Modeling; 2.2.7.1. Modeling costs; 2.2.7.2. Constraints; 2.2.7.3. Objectives of the allocation; 2.2.7.3.1. Minimizing the execution duration; 2.2.7.3.2. Minimizing the global execution and communication cost; 2.2.7.3.3. Load balancing; 2.3. Review of the main works; 2.3.1. Polynomial cases; 2.3.1.1. Two-processor cases; 2.3.1.2. Tree case; 2.3.1.3. Other structures; 2.3.1.4. Restrictions on the processors or the tasks; 2.3.1.5. Minmax objective; 2.3.2. Approximability; 2.3.3. Approximate solution; 2.3.3.1. Heterogenous processors 2.3.3.2. Homogenous processors2.3.4. Exact solution; 2.3.5. Independent tasks case; 2.4. A little-studied model; 2.4.1. Model; 2.4.2. A heuristic based on graphs; 2.4.2.1. Transformation of the problem; 2.4.2.2. Modeling; 2.4.2.3. Description of the heuristic; 2.5. Conclusion; 2.6. Bibliography; Chapter 3: A Comparison of Some Valid Inequality Generation Methods for General 0-1 Problems; 3.1. Introduction; 3.2. Presentation of the various techniques tested; 3.2.1. Exact separation with respect to a mixed relaxation; 3.2.2. Approximate separation using a heuristic 3.2.3. Restriction + separation + relaxed lifting (RSRL)3.2.4. Disjunctive programming and the lift and project procedure; 3.2.5. Reformulation-linearization technique (RLT); 3.3. Computational results; 3.3.1. Presentation of test problems; 3.3.2. Presentation of the results; 3.3.3. Discussion of the computational results; 3.4. Bibliography; Chapter 4: Production Planning; 4.1. Introduction; 4.2. Hierarchical planning; 4.3. Strategic planning and productive system design; 4.3.1. Group technology; 4.3.2. Locating equipment; 4.4. Tactical planning and inventory management 4.4.1. A linear programming model for medium-term planning |
Record Nr. | UNINA-9910132155703321 |
London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Applications of combinatorial optimization / / edited by Vangelis Th. Paschos |
Edizione | [Revised and updated second edition.] |
Pubbl/distr/stampa | London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (449 p.) |
Disciplina | 519.64 |
Collana | Mathematics and Statistics Series |
Soggetto topico | Combinatorial optimization |
ISBN |
1-119-00538-8
1-119-01522-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Chapter 1: Airline Crew Pairing Optimization; 1.1. Introduction; 1.2. Definition of the problem; 1.2.1. Constructing subnetworks; 1.2.2. Pairing costs; 1.2.3. Model; 1.2.4. Case without resource constraints; 1.3. Solution approaches; 1.3.1. Decomposition principles; 1.3.2. Column generation, master problem and subproblem; 1.3.3. Branching methods for finding integer solutions; 1.4. Solving the subproblem for column generation; 1.4.1. Mathematical formulation; 1.4.2. General principle of effective label generation
1.4.3. Case of one single resource: the bucket method1.4.4. Case of many resources: reduction of the resource space; 1.4.4.1. Reduction principle; 1.4.4.2. Approach based on the Lagrangian relaxation; 1.4.4.3. Approach based on the surrogate relaxation; 1.5. Conclusion; 1.6. Bibliography; Chapter 2: The Task Allocation Problem; 2.1. Presentation; 2.2. Definitions and modeling; 2.2.1. Definitions; 2.2.2. The processors; 2.2.3. Communications; 2.2.4. Tasks; 2.2.5. Allocation types; 2.2.5.1. Static allocation; 2.2.5.2. Dynamic allocation; 2.2.5.3. With or without pre-emption 2.2.5.4. Task duplication2.2.6. Allocation/scheduling; 2.2.7. Modeling; 2.2.7.1. Modeling costs; 2.2.7.2. Constraints; 2.2.7.3. Objectives of the allocation; 2.2.7.3.1. Minimizing the execution duration; 2.2.7.3.2. Minimizing the global execution and communication cost; 2.2.7.3.3. Load balancing; 2.3. Review of the main works; 2.3.1. Polynomial cases; 2.3.1.1. Two-processor cases; 2.3.1.2. Tree case; 2.3.1.3. Other structures; 2.3.1.4. Restrictions on the processors or the tasks; 2.3.1.5. Minmax objective; 2.3.2. Approximability; 2.3.3. Approximate solution; 2.3.3.1. Heterogenous processors 2.3.3.2. Homogenous processors2.3.4. Exact solution; 2.3.5. Independent tasks case; 2.4. A little-studied model; 2.4.1. Model; 2.4.2. A heuristic based on graphs; 2.4.2.1. Transformation of the problem; 2.4.2.2. Modeling; 2.4.2.3. Description of the heuristic; 2.5. Conclusion; 2.6. Bibliography; Chapter 3: A Comparison of Some Valid Inequality Generation Methods for General 0-1 Problems; 3.1. Introduction; 3.2. Presentation of the various techniques tested; 3.2.1. Exact separation with respect to a mixed relaxation; 3.2.2. Approximate separation using a heuristic 3.2.3. Restriction + separation + relaxed lifting (RSRL)3.2.4. Disjunctive programming and the lift and project procedure; 3.2.5. Reformulation-linearization technique (RLT); 3.3. Computational results; 3.3.1. Presentation of test problems; 3.3.2. Presentation of the results; 3.3.3. Discussion of the computational results; 3.4. Bibliography; Chapter 4: Production Planning; 4.1. Introduction; 4.2. Hierarchical planning; 4.3. Strategic planning and productive system design; 4.3.1. Group technology; 4.3.2. Locating equipment; 4.4. Tactical planning and inventory management 4.4.1. A linear programming model for medium-term planning |
Record Nr. | UNINA-9910808645303321 |
London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Applications of combinatorial optimization [[electronic resource] /] / edited by Vangelis Th. Paschos |
Pubbl/distr/stampa | London, : ISTE |
Descrizione fisica | 1 online resource (409 p.) |
Disciplina | 519.64 |
Altri autori (Persone) | PaschosVangelis Th |
Collana | Combinatorial optimization |
Soggetto topico | Combinatorial optimization |
ISBN |
1-118-60028-2
1-118-60034-7 1-118-60011-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Applications of Combinatorial Optimization; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Airline Crew Pairing Optimization; 1.1. Introduction; 1.2. Definition of the problem; 1.2.1. Constructing subnetworks; 1.2.2. Pairing costs; 1.2.3. Model; 1.2.4. Case without resource constraints; 1.3. Solution approaches; 1.3.1. Decomposition principles; 1.3.2. Column generation, master problem and subproblem; 1.3.3. Branching methods for finding integer solutions; 1.4. Solving the subproblem for column generation; 1.4.1. Mathematical formulation
1.4.2. General principle of effective label generation1.4.3. Case of one single resource: the bucket method; 1.4.4. Case of many resources: reduction of the resource space; 1.5. Conclusion; 1.6. Bibliography; Chapter 2. The Task Allocation Problem; 2.1. Presentation; 2.2. Definitions and modeling; 2.2.1. Definitions; 2.2.2. The processors; 2.2.3. Communications; 2.2.4. Tasks; 2.2.5. Allocation types; 2.2.6. Allocation/scheduling; 2.2.7. Modeling; 2.3. Review of the main works; 2.3.1. Polynomial cases; 2.3.2. Approximability; 2.3.3. Approximate solution; 2.3.4. Exact solution 2.3.5. Independent tasks case2.4. A little-studied model; 2.4.1. Model; 2.4.2. A heuristic based on graphs; 2.5. Conclusion; 2.6. Bibliography; Chapter 3. A Comparison of Some Valid Inequality Generation Methods for General 0-1 Problems; 3.1. Introduction; 3.2. Presentation of the various techniques tested; 3.2.1. Exact separation with respect to a mixed relaxation; 3.2.2. Approximate separation using a heuristic; 3.2.3. Restriction + separation + relaxed lifting (RSRL); 3.2.4. Disjunctive programming and the lift and project procedure; 3.2.5. Reformulation-linearization technique (RLT) 3.3. Computational results3.3.1. Presentation of test problems; 3.3.2. Presentation of the results; 3.3.3. Discussion of the computational results; 3.4. Bibliography; Chapter 4. Production Planning; 4.1. Introduction; 4.2. Hierarchical planning; 4.3. Strategic planning and productive system design; 4.3.1. Group technology; 4.3.2. Locating equipment; 4.4. Tactical planning and inventory management; 4.4.1. A linear programming model for medium-term planning; 4.4.2. Inventory management; 4.4.3. Wagner and Whitin model; 4.4.4. The economic order quantity model (EOQ) 4.4.5. The EOQ model with joint replenishments4.5. Operations planning and scheduling; 4.5.1. Tooling; 4.5.2. Robotic cells; 4.6. Conclusion and perspectives; 4.7. Bibliography; Chapter 5. Operations Research and Goods Transportation; 5.1. Introduction; 5.2. Goods transport systems; 5.3. Systems design; 5.3.1. Location with balancing requirements; 5.3.2. Multiproduct production-distribution; 5.3.3. Hub location; 5.4. Long-distance transport; 5.4.1. Service network design; 5.4.2. Static formulations; 5.4.3. Dynamic formulations; 5.4.4. Fleet management; 5.5. Vehicle routing problems 5.5.1. Definitions and complexity |
Record Nr. | UNINA-9910141601303321 |
London, : ISTE | ||
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Lo trovi qui: Univ. Federico II | ||
|
Applications of combinatorial optimization / / edited by Vangelis Th. Paschos |
Edizione | [1st ed.] |
Pubbl/distr/stampa | London, : ISTE |
Descrizione fisica | 1 online resource (409 p.) |
Disciplina | 519.64 |
Altri autori (Persone) | PaschosVangelis Th |
Collana | Combinatorial optimization |
Soggetto topico | Combinatorial optimization |
ISBN |
1-118-60028-2
1-118-60034-7 1-118-60011-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Applications of Combinatorial Optimization; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Airline Crew Pairing Optimization; 1.1. Introduction; 1.2. Definition of the problem; 1.2.1. Constructing subnetworks; 1.2.2. Pairing costs; 1.2.3. Model; 1.2.4. Case without resource constraints; 1.3. Solution approaches; 1.3.1. Decomposition principles; 1.3.2. Column generation, master problem and subproblem; 1.3.3. Branching methods for finding integer solutions; 1.4. Solving the subproblem for column generation; 1.4.1. Mathematical formulation
1.4.2. General principle of effective label generation1.4.3. Case of one single resource: the bucket method; 1.4.4. Case of many resources: reduction of the resource space; 1.5. Conclusion; 1.6. Bibliography; Chapter 2. The Task Allocation Problem; 2.1. Presentation; 2.2. Definitions and modeling; 2.2.1. Definitions; 2.2.2. The processors; 2.2.3. Communications; 2.2.4. Tasks; 2.2.5. Allocation types; 2.2.6. Allocation/scheduling; 2.2.7. Modeling; 2.3. Review of the main works; 2.3.1. Polynomial cases; 2.3.2. Approximability; 2.3.3. Approximate solution; 2.3.4. Exact solution 2.3.5. Independent tasks case2.4. A little-studied model; 2.4.1. Model; 2.4.2. A heuristic based on graphs; 2.5. Conclusion; 2.6. Bibliography; Chapter 3. A Comparison of Some Valid Inequality Generation Methods for General 0-1 Problems; 3.1. Introduction; 3.2. Presentation of the various techniques tested; 3.2.1. Exact separation with respect to a mixed relaxation; 3.2.2. Approximate separation using a heuristic; 3.2.3. Restriction + separation + relaxed lifting (RSRL); 3.2.4. Disjunctive programming and the lift and project procedure; 3.2.5. Reformulation-linearization technique (RLT) 3.3. Computational results3.3.1. Presentation of test problems; 3.3.2. Presentation of the results; 3.3.3. Discussion of the computational results; 3.4. Bibliography; Chapter 4. Production Planning; 4.1. Introduction; 4.2. Hierarchical planning; 4.3. Strategic planning and productive system design; 4.3.1. Group technology; 4.3.2. Locating equipment; 4.4. Tactical planning and inventory management; 4.4.1. A linear programming model for medium-term planning; 4.4.2. Inventory management; 4.4.3. Wagner and Whitin model; 4.4.4. The economic order quantity model (EOQ) 4.4.5. The EOQ model with joint replenishments4.5. Operations planning and scheduling; 4.5.1. Tooling; 4.5.2. Robotic cells; 4.6. Conclusion and perspectives; 4.7. Bibliography; Chapter 5. Operations Research and Goods Transportation; 5.1. Introduction; 5.2. Goods transport systems; 5.3. Systems design; 5.3.1. Location with balancing requirements; 5.3.2. Multiproduct production-distribution; 5.3.3. Hub location; 5.4. Long-distance transport; 5.4.1. Service network design; 5.4.2. Static formulations; 5.4.3. Dynamic formulations; 5.4.4. Fleet management; 5.5. Vehicle routing problems 5.5.1. Definitions and complexity |
Record Nr. | UNINA-9910809344503321 |
London, : ISTE | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorial Optimization : Theory and Algorithms / / by Bernhard Korte, Jens Vygen |
Autore | Korte Bernhard |
Edizione | [6th ed. 2018.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (XXI, 698 p. 78 illus.) |
Disciplina | 519.64 |
Collana | Algorithms and Combinatorics |
Soggetto topico |
Combinatorics
Calculus of variations Computer science—Mathematics Operations research Decision making Calculus of Variations and Optimal Control; Optimization Mathematics of Computing Operations Research/Decision Theory |
ISBN | 3-662-56039-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction -- 2 Graphs -- 3 Linear Programming -- 4 Linear Programming Algorithms -- 5 Integer Programming -- 6 Spanning Trees and Arborescences -- 7 Shortest Paths -- 8 Network Flows -- 9 Minimum Cost Flows -- 10 Maximum Matchings -- 11 Weighted Matching -- 12 b-Matchings and T -Joins -- 13 Matroids -- 14 Generalizations of Matroids -- 15 NP-Completeness -- 16 Approximation Algorithms -- 17 The Knapsack Problem -- 18 Bin-Packing -- 19 Multicommodity Flows and Edge-Disjoint Paths -- 20 Network Design Problems -- 21 The Traveling Salesman Problem -- 22 Facility Location -- Indices. |
Record Nr. | UNINA-9910300110103321 |
Korte Bernhard
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2018 | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorial optimization : 7th International Symposium, ISCO 2022, virtual event, May 18-20, 2022, revised selected papers / / Ivana Ljubic [and three others] editors |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (340 pages) |
Disciplina | 519.64 |
Collana | Lecture notes in computer science |
Soggetto topico | Combinatorial optimization |
ISBN | 3-031-18530-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Organization -- Plenary Lectures -- Graphical Designs -- Advances in Approximation Algorithms for Tree Augmentation -- Algorithmic Data Science -- Recent Algorithmic Advances for Maximum-Entropy Sampling -- Contents -- Polyhedra and Algorithms -- New Classes of Facets for Complementarity Knapsack Problems -- 1 Introduction -- 2 Notations, Assumptions, and Previous Work -- 3 Separation Complexity of Lifted Cover Inequalities for CKP -- 4 New Families of Facet-Defining Inequalities -- 5 Future Direction -- References -- Branch-and-Cut for a 2-Commodity Flow Relocation Model with Time Constraints -- 1 Introduction -- 2 A TEN Model for the Item Relocation Problem -- 3 The Projected IRP Model -- 3.1 Extended Subtour Constraints and Projected Cost -- 3.2 Separating the Extended Subtour Constraints -- 4 Algorithmic Handling and Numerical Experiments -- 4.1 Separation Algorithm -- 4.2 Numerical Experiments -- 5 Conclusion: A Brief Discussion of the Lift Issue -- References -- The Constrained-Routing and Spectrum Assignment Problem: Valid Inequalities and Branch-and-Cut Algorithm -- 1 Introduction -- 2 The Constrained-Routing and Spectrum Assignment Problem -- 3 Integer Linear Programming Formulation -- 4 Valid Inequalities and Facets -- 4.1 Edge-Capacity-Cover Inequalities -- 4.2 Edge-Interval-Capacity-Cover Inequalities -- 4.3 Edge-Interval-Clique Inequalities -- 4.4 Edge-Slot-Assignment-Clique Inequalities -- 4.5 Slot-Assignment-Clique Inequalities -- 5 Branch-and-Cut Algorithm -- 6 Computational Study -- 7 Conclusion -- References -- Polyhedra and Combinatorics -- Top-k List Aggregation: Mathematical Formulations and Polyhedral Comparisons -- 1 Introduction -- 2 Preliminaries -- 3 Integer Programming Formulations -- 4 Polyhedral Comparison -- 5 Concluding Remarks -- References -- Bounded Variation in Binary Sequences.
1 Introduction -- 2 Penalized Variation -- 3 Bounded Variation -- 4 Conclusion and Future Work -- References -- On Minimally Non-firm Binary Matrices -- 1 Introduction -- 2 Preliminaries -- 3 Simplicial 1s and Stretching -- 4 Superfirm Matrices and Odd Holes -- 5 Four Infinite Classes of Minimally Non-firm Matrices -- 6 Conclusion -- References -- Few Induced Disjoint Paths for H-Free Graphs -- 1 Introduction -- 1.1 Related Work -- 1.2 Our Results -- 2 Polynomial-Time Algorithms -- 3 Completing the Proof of Theorem 2 -- 3.1 Omitting ``H''-Graphs and Six-Vertex Cycles -- 4 Conclusions -- References -- On Permuting Some Coordinates of Polytopes -- 1 Introduction and Motivation -- 2 (More) Background and Related Work -- 2.1 Relevant Polytopes -- 3 Results -- 3.1 Parity Constraints via Partial Permutations -- 3.2 Partial Permutation over Quad-Valued Coordinates -- 3.3 Partial Permutation over Three-Valued Coordinates -- 3.4 Sorting Polytopes -- 4 Concluding Remarks -- References -- Non-linear Optimization -- Piecewise Linearization of Bivariate Nonlinear Functions: Minimizing the Number of Pieces Under a Bounded Approximation Error -- 1 Problem Description and State of the Art -- 2 Definitions -- 3 A Framework for Solving the R2-Corridor Fitting Problem -- 3.1 Key Idea 1: Management of the Corridor Domain -- 3.2 Key Idea 2: The Maximal Piece in Direction d Problem -- 3.3 Key Idea 3: Computing a Feasible Solution of a Maximal Piece in Direction d Problem -- 4 Framework Key Points Instantiation -- 4.1 Scoring the Quality of Pieces -- 4.2 Choose a Progress Direction -- 4.3 Inner Approximation of a Corridor -- 5 Numerical Experiments -- 6 Conclusion -- References -- An Outer-Approximation Algorithm for Maximum-Entropy Sampling -- 1 Introduction -- 2 Outer Approximation -- 3 Convex Relaxations for [MESP]MESP -- 4 Disjunctive Cuts -- 5 Experiments. 6 Next Steps -- References -- Mitigating Anomalies in Parallel Branch-and-Bound Based Algorithms for Mixed-Integer Nonlinear Optimization -- 1 Introduction -- 2 Anomalies in Parallel Algorithms -- 3 Opportunistic Parallel Branch-and-Bound in Minotaur -- 4 Reducing Detrimental Anomalies in Parallel NLP-BB -- 4.1 Unambiguous Branching Functions -- 4.2 Unambiguous Reliability Branching Scheme -- 4.3 A Hybrid Unambiguous Node Selection Strategy -- 4.4 Nondetrimental NLP-BB -- 5 Reducing Detrimental Anomalies in Parallel QG -- 6 Computational Results -- 7 Conclusions and Future Directions -- References -- Game Theory -- Exact Price of Anarchy for Weighted Congestion Games with Two Players -- 1 Introduction -- 2 Results -- 3 LP Based Proofs -- 4 Concluding Remarks -- References -- Nash Balanced Assignment Problem -- 1 Introduction -- 2 LP Formulation for BAP -- 3 Nash Fairness Solutions for the AP -- 3.1 Proportional Fairness -- 3.2 Characterization of NF Solutions for the AP -- 3.3 Existence of NF Solutions -- 4 Finding All NF Solutions for the AP -- 4.1 Upper Bound for the Number of NF Solutions -- 4.2 Algorithm for Finding All NF Solutions -- 4.3 Numerical Results -- 5 Conclusion -- References -- Graphs and Trees -- On the Thinness of Trees -- 1 Introduction -- 2 Definitions and Preliminaries -- 3 Characterization and Algorithm -- 3.1 The Algorithm: Rooted Trees, k-critical Vertices and Labels -- 3.2 Computing Thinness of Trees and Finding a Consistent Solution -- References -- Generating Spanning-Tree Sequences of a Fan Graph in Lexicographic Order and Ranking/Unranking Algorithms -- 1 Introduction -- 2 Preliminary -- 3 Generating Fan-Tree Sequences -- 4 Ranking and Unranking Algorithms -- 5 Concluding Remarks -- References -- Cutting and Packing -- High Multiplicity Strip Packing with Three Rectangle Types -- 1 Introduction. 2 Solving 2DFSPP in Polynomial Time -- 3 Algorithm for 2DHMSPP with Three Rectangle Types -- 3.1 Partitioning the Packing -- 3.2 Grouping Vertical Sections -- 3.3 Ordering the Configurations -- 3.4 Rounding Fractional Rectangles -- 3.5 None of SCase1, SCase2, and SCase3 are Empty, count = 1, and f1(i) + f2(i) 1 for all Vertical Sections si SCase2 -- 3.6 None of SCase1, SCase2, and SCase3 are Empty, count = 1, and f1(i) + f2(i) > -- 1 for at Least One Vertical Section si SCase2 -- 4 Polynomial Time Implementation -- 5 Conclusion -- References -- Improved Bounds for Stochastic Extensible Bin Packing Under Distributional Assumptions -- 1 Introduction -- 2 Stochastic Extensible Bin Packing -- 3 Second-Order Stochastic Dominance -- 4 Restriction to a Family of Processing Time Distributions -- References -- Applications -- One Transfer per Patient Suffices: Structural Insights About Patient-to-Room Assignment -- 1 Introduction -- 2 Every Patient Has to Be Transferred at Most Once -- 3 No Need to Transfer Patients Arriving in the First Period -- 4 Upper Bounds on the Number of Patient Transfers -- 5 Conclusion -- References -- Tool Switching Problems in the Context of Overlay Printing with Multiple Colours -- 1 Introduction -- 2 CUF-ToSP -- 2.1 Two-Index Formulation for CUF-ToSP -- 3 GOF-ToSP -- 3.1 Five-Index Arc Flow Formulation for GOF-ToSP -- 3.2 Preprocessing -- 4 GOV-ToSP -- 4.1 Six-Index Arc Flow Formulation for GOV-ToSP -- 5 Computational Results -- 5.1 Test Instances -- 5.2 Results -- 6 Conclusions and Future Research -- References -- Optimal Vaccination Strategies for Multiple Dose Vaccinations -- 1 Introduction -- 2 Problem Description and Formulation -- 3 The Matching Approach -- 3.1 Without Capacities -- 3.2 Include Upper Bound on Vaccination Speed and Storage Capacity -- 3.3 Include Multiple Vaccines and Cross-Immunization. 4 The Three-Dose Problem -- 5 Conclusion -- References -- Approximation Algorithms -- Pervasive Domination -- 1 Introduction -- 1.1 Our Model -- 1.2 Our Results -- 2 Related Work -- 3 Pervasive Partial Domination -- 3.1 Algorithm Analysis -- 4 Conclusion -- References -- Unified Greedy Approximability Beyond Submodular Maximization -- 1 Introduction -- 2 Weak Submodularity Ratio, -Augmentability, and Independence Systems -- 2.1 Separating Function Classes -- 3 -Augmentability -- 3.1 A Critical Function -- 3.2 -Augmentability on Independence Systems -- 4 Outlook -- References -- Neighborhood Persistency of the Linear Optimization Relaxation of Integer Linear Optimization -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Maximality of UTVPI Systems -- 5 Fixed-Parameter Tractability and Two-Approximability for Special Cases -- 6 Conclusion -- References -- Polynomial-Time Approximation Schemes for a Class of Integrated Network Design and Scheduling Problems with Parallel Identical Machines -- 1 Introduction and Results -- 1.1 Problem Definition -- 1.2 Our Results -- 1.3 Related Work -- 2 Proofs of Lemmas1 and 2 -- 2.1 Proof of Lemma1 -- 2.2 Proof of Lemma2 -- 3 Proofs of Corollaries1 and 2 -- 3.1 Case of {MST, SP}. -- References -- Author Index. |
Record Nr. | UNINA-9910631085503321 |
Cham, Switzerland : , : Springer, , [2022] | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorial optimization : 7th International Symposium, ISCO 2022, virtual event, May 18-20, 2022, revised selected papers / / Ivana Ljubic [and three others] editors |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (340 pages) |
Disciplina | 519.64 |
Collana | Lecture notes in computer science |
Soggetto topico | Combinatorial optimization |
ISBN | 3-031-18530-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Organization -- Plenary Lectures -- Graphical Designs -- Advances in Approximation Algorithms for Tree Augmentation -- Algorithmic Data Science -- Recent Algorithmic Advances for Maximum-Entropy Sampling -- Contents -- Polyhedra and Algorithms -- New Classes of Facets for Complementarity Knapsack Problems -- 1 Introduction -- 2 Notations, Assumptions, and Previous Work -- 3 Separation Complexity of Lifted Cover Inequalities for CKP -- 4 New Families of Facet-Defining Inequalities -- 5 Future Direction -- References -- Branch-and-Cut for a 2-Commodity Flow Relocation Model with Time Constraints -- 1 Introduction -- 2 A TEN Model for the Item Relocation Problem -- 3 The Projected IRP Model -- 3.1 Extended Subtour Constraints and Projected Cost -- 3.2 Separating the Extended Subtour Constraints -- 4 Algorithmic Handling and Numerical Experiments -- 4.1 Separation Algorithm -- 4.2 Numerical Experiments -- 5 Conclusion: A Brief Discussion of the Lift Issue -- References -- The Constrained-Routing and Spectrum Assignment Problem: Valid Inequalities and Branch-and-Cut Algorithm -- 1 Introduction -- 2 The Constrained-Routing and Spectrum Assignment Problem -- 3 Integer Linear Programming Formulation -- 4 Valid Inequalities and Facets -- 4.1 Edge-Capacity-Cover Inequalities -- 4.2 Edge-Interval-Capacity-Cover Inequalities -- 4.3 Edge-Interval-Clique Inequalities -- 4.4 Edge-Slot-Assignment-Clique Inequalities -- 4.5 Slot-Assignment-Clique Inequalities -- 5 Branch-and-Cut Algorithm -- 6 Computational Study -- 7 Conclusion -- References -- Polyhedra and Combinatorics -- Top-k List Aggregation: Mathematical Formulations and Polyhedral Comparisons -- 1 Introduction -- 2 Preliminaries -- 3 Integer Programming Formulations -- 4 Polyhedral Comparison -- 5 Concluding Remarks -- References -- Bounded Variation in Binary Sequences.
1 Introduction -- 2 Penalized Variation -- 3 Bounded Variation -- 4 Conclusion and Future Work -- References -- On Minimally Non-firm Binary Matrices -- 1 Introduction -- 2 Preliminaries -- 3 Simplicial 1s and Stretching -- 4 Superfirm Matrices and Odd Holes -- 5 Four Infinite Classes of Minimally Non-firm Matrices -- 6 Conclusion -- References -- Few Induced Disjoint Paths for H-Free Graphs -- 1 Introduction -- 1.1 Related Work -- 1.2 Our Results -- 2 Polynomial-Time Algorithms -- 3 Completing the Proof of Theorem 2 -- 3.1 Omitting ``H''-Graphs and Six-Vertex Cycles -- 4 Conclusions -- References -- On Permuting Some Coordinates of Polytopes -- 1 Introduction and Motivation -- 2 (More) Background and Related Work -- 2.1 Relevant Polytopes -- 3 Results -- 3.1 Parity Constraints via Partial Permutations -- 3.2 Partial Permutation over Quad-Valued Coordinates -- 3.3 Partial Permutation over Three-Valued Coordinates -- 3.4 Sorting Polytopes -- 4 Concluding Remarks -- References -- Non-linear Optimization -- Piecewise Linearization of Bivariate Nonlinear Functions: Minimizing the Number of Pieces Under a Bounded Approximation Error -- 1 Problem Description and State of the Art -- 2 Definitions -- 3 A Framework for Solving the R2-Corridor Fitting Problem -- 3.1 Key Idea 1: Management of the Corridor Domain -- 3.2 Key Idea 2: The Maximal Piece in Direction d Problem -- 3.3 Key Idea 3: Computing a Feasible Solution of a Maximal Piece in Direction d Problem -- 4 Framework Key Points Instantiation -- 4.1 Scoring the Quality of Pieces -- 4.2 Choose a Progress Direction -- 4.3 Inner Approximation of a Corridor -- 5 Numerical Experiments -- 6 Conclusion -- References -- An Outer-Approximation Algorithm for Maximum-Entropy Sampling -- 1 Introduction -- 2 Outer Approximation -- 3 Convex Relaxations for [MESP]MESP -- 4 Disjunctive Cuts -- 5 Experiments. 6 Next Steps -- References -- Mitigating Anomalies in Parallel Branch-and-Bound Based Algorithms for Mixed-Integer Nonlinear Optimization -- 1 Introduction -- 2 Anomalies in Parallel Algorithms -- 3 Opportunistic Parallel Branch-and-Bound in Minotaur -- 4 Reducing Detrimental Anomalies in Parallel NLP-BB -- 4.1 Unambiguous Branching Functions -- 4.2 Unambiguous Reliability Branching Scheme -- 4.3 A Hybrid Unambiguous Node Selection Strategy -- 4.4 Nondetrimental NLP-BB -- 5 Reducing Detrimental Anomalies in Parallel QG -- 6 Computational Results -- 7 Conclusions and Future Directions -- References -- Game Theory -- Exact Price of Anarchy for Weighted Congestion Games with Two Players -- 1 Introduction -- 2 Results -- 3 LP Based Proofs -- 4 Concluding Remarks -- References -- Nash Balanced Assignment Problem -- 1 Introduction -- 2 LP Formulation for BAP -- 3 Nash Fairness Solutions for the AP -- 3.1 Proportional Fairness -- 3.2 Characterization of NF Solutions for the AP -- 3.3 Existence of NF Solutions -- 4 Finding All NF Solutions for the AP -- 4.1 Upper Bound for the Number of NF Solutions -- 4.2 Algorithm for Finding All NF Solutions -- 4.3 Numerical Results -- 5 Conclusion -- References -- Graphs and Trees -- On the Thinness of Trees -- 1 Introduction -- 2 Definitions and Preliminaries -- 3 Characterization and Algorithm -- 3.1 The Algorithm: Rooted Trees, k-critical Vertices and Labels -- 3.2 Computing Thinness of Trees and Finding a Consistent Solution -- References -- Generating Spanning-Tree Sequences of a Fan Graph in Lexicographic Order and Ranking/Unranking Algorithms -- 1 Introduction -- 2 Preliminary -- 3 Generating Fan-Tree Sequences -- 4 Ranking and Unranking Algorithms -- 5 Concluding Remarks -- References -- Cutting and Packing -- High Multiplicity Strip Packing with Three Rectangle Types -- 1 Introduction. 2 Solving 2DFSPP in Polynomial Time -- 3 Algorithm for 2DHMSPP with Three Rectangle Types -- 3.1 Partitioning the Packing -- 3.2 Grouping Vertical Sections -- 3.3 Ordering the Configurations -- 3.4 Rounding Fractional Rectangles -- 3.5 None of SCase1, SCase2, and SCase3 are Empty, count = 1, and f1(i) + f2(i) 1 for all Vertical Sections si SCase2 -- 3.6 None of SCase1, SCase2, and SCase3 are Empty, count = 1, and f1(i) + f2(i) > -- 1 for at Least One Vertical Section si SCase2 -- 4 Polynomial Time Implementation -- 5 Conclusion -- References -- Improved Bounds for Stochastic Extensible Bin Packing Under Distributional Assumptions -- 1 Introduction -- 2 Stochastic Extensible Bin Packing -- 3 Second-Order Stochastic Dominance -- 4 Restriction to a Family of Processing Time Distributions -- References -- Applications -- One Transfer per Patient Suffices: Structural Insights About Patient-to-Room Assignment -- 1 Introduction -- 2 Every Patient Has to Be Transferred at Most Once -- 3 No Need to Transfer Patients Arriving in the First Period -- 4 Upper Bounds on the Number of Patient Transfers -- 5 Conclusion -- References -- Tool Switching Problems in the Context of Overlay Printing with Multiple Colours -- 1 Introduction -- 2 CUF-ToSP -- 2.1 Two-Index Formulation for CUF-ToSP -- 3 GOF-ToSP -- 3.1 Five-Index Arc Flow Formulation for GOF-ToSP -- 3.2 Preprocessing -- 4 GOV-ToSP -- 4.1 Six-Index Arc Flow Formulation for GOV-ToSP -- 5 Computational Results -- 5.1 Test Instances -- 5.2 Results -- 6 Conclusions and Future Research -- References -- Optimal Vaccination Strategies for Multiple Dose Vaccinations -- 1 Introduction -- 2 Problem Description and Formulation -- 3 The Matching Approach -- 3.1 Without Capacities -- 3.2 Include Upper Bound on Vaccination Speed and Storage Capacity -- 3.3 Include Multiple Vaccines and Cross-Immunization. 4 The Three-Dose Problem -- 5 Conclusion -- References -- Approximation Algorithms -- Pervasive Domination -- 1 Introduction -- 1.1 Our Model -- 1.2 Our Results -- 2 Related Work -- 3 Pervasive Partial Domination -- 3.1 Algorithm Analysis -- 4 Conclusion -- References -- Unified Greedy Approximability Beyond Submodular Maximization -- 1 Introduction -- 2 Weak Submodularity Ratio, -Augmentability, and Independence Systems -- 2.1 Separating Function Classes -- 3 -Augmentability -- 3.1 A Critical Function -- 3.2 -Augmentability on Independence Systems -- 4 Outlook -- References -- Neighborhood Persistency of the Linear Optimization Relaxation of Integer Linear Optimization -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Maximality of UTVPI Systems -- 5 Fixed-Parameter Tractability and Two-Approximability for Special Cases -- 6 Conclusion -- References -- Polynomial-Time Approximation Schemes for a Class of Integrated Network Design and Scheduling Problems with Parallel Identical Machines -- 1 Introduction and Results -- 1.1 Problem Definition -- 1.2 Our Results -- 1.3 Related Work -- 2 Proofs of Lemmas1 and 2 -- 2.1 Proof of Lemma1 -- 2.2 Proof of Lemma2 -- 3 Proofs of Corollaries1 and 2 -- 3.1 Case of {MST, SP}. -- References -- Author Index. |
Record Nr. | UNISA-996500062603316 |
Cham, Switzerland : , : Springer, , [2022] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Combinatorial Optimization : 6th International Symposium, ISCO 2020, Montreal, QC, Canada, May 4–6, 2020, Revised Selected Papers / / edited by Mourad Baïou, Bernard Gendron, Oktay Günlük, A. Ridha Mahjoub |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (XI, 298 p. 111 illus., 8 illus. in color.) |
Disciplina |
519.3
519.64 |
Collana | Theoretical Computer Science and General Issues |
Soggetto topico |
Computer science—Mathematics
Discrete mathematics Algorithms Artificial intelligence—Data processing Numerical analysis Artificial intelligence Discrete Mathematics in Computer Science Data Science Numerical Analysis Artificial Intelligence |
ISBN | 3-030-53262-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Polyhedral Combinatorics -- Integer Programming -- Scheduling -- Matching -- Network Design -- Heuristics. |
Record Nr. | UNINA-9910413440003321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorial optimization [[electronic resource] ] : methods and applications / / edited by Vašek Chvátal |
Pubbl/distr/stampa | Washington, D.C., : IOS Press, 2011 |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina |
519.64
658.5 |
Altri autori (Persone) | ChvátalVašek |
Collana | NATO science for peace and security series. Sub-series D, Information and communication security |
Soggetto topico | Combinatorial optimization |
Soggetto genere / forma | Electronic books. |
ISBN |
6613289620
1-283-28962-8 9786613289629 1-60750-718-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Title; Preface; Acknowledgments; The NATO Advanced Study Institute; Contents; Mixed Integer Rounding Cuts and Master Group Polyhedra; Combinatorial Optimization in VLSI Design; Facility Location: Discrete Models and Local Search Methods; Discrete Convexity and Its Applications; Branching on Split Disjunctions; Convex Discrete Optimization |
Record Nr. | UNINA-9910457589203321 |
Washington, D.C., : IOS Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Combinatorial optimization [[electronic resource] ] : methods and applications / / edited by Vašek Chvátal |
Pubbl/distr/stampa | Washington, D.C., : IOS Press, 2011 |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina |
519.64
658.5 |
Altri autori (Persone) | ChvátalVašek |
Collana | NATO science for peace and security series. Sub-series D, Information and communication security |
Soggetto topico | Combinatorial optimization |
ISBN |
6613289620
1-283-28962-8 9786613289629 1-60750-718-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Title; Preface; Acknowledgments; The NATO Advanced Study Institute; Contents; Mixed Integer Rounding Cuts and Master Group Polyhedra; Combinatorial Optimization in VLSI Design; Facility Location: Discrete Models and Local Search Methods; Discrete Convexity and Its Applications; Branching on Split Disjunctions; Convex Discrete Optimization |
Record Nr. | UNINA-9910781754503321 |
Washington, D.C., : IOS Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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