Constraint and Integer Programming: Toward a Unified Methodology

by Michela Milano (Editor)

Overview

Constraint and Integer Programming presents some of the basic ideas of constraint programming and mathematical programming, explores approaches to integration, brings us up to date on heuristic methods, and attempts to discern future directions in this fast-moving field.

Product Details

ISBN-13:	9781402075834
Publisher:	Springer US
Publication date:	11/30/2003
Series:	Operations Research/Computer Science Interfaces Series , #27
Edition description:	2004
Pages:	370
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Constraint and Integer Programming.- 1 Introduction.- 2 CP(FD) Basic Concepts.- 3 Integer Linear Programming Basic Concepts.- 4 Incomplete search strategies.- 5 Conclusion.- References.- Two Generic Schemes for Efficient and Robust Cooperative Algorithms.- 1 Introduction.- 2 Operations Research Algorithms and Constraint Programming.- 3 Operations Research Algorithms and Mixed Integer Programming.- 4 Constraint Programming and Mixed Integer Programming.- 5 Operations Research Algorithms and Local Search.- 6 Mixed Integer Programming and Local Search.- 7 Constraint Programming and Local Search.- References.- Branch-and-Infer: A Framework for Combining CP and IP.- 1 Introduction.- 2 Modeling in CP and IP.- 3 An illustrating example: discrete tomography.- 4 Branch and Infer.- 5 Symbolic constraints in IP.- 6 Example: Symbolic constraints for supply chain planning.- 7 Summary.- References.- Global Constraints and FiItering Algorithms.- 1 Introduction.- 2 Global Constraints.- 3 Filtering Algorithms.- 4 Two Successful Filtering Algorithms.- 5 Global Constraints and Over-eonstrained Problems.- 6 Quality of Filtering Algorithms.- 7 Discussion.- 8 Conclusion.- References.- Exploiting relaxations in CP.- 1 Introduction and Motivation.- 2 Integer Linear Programming and Relaxations.- 3 Integrating Relaxations in CP.- 4 Relax to propagate.- 5 Relax to guide the search.- 6 A case study: global optimization constraints for a Path constraint.- References.- Hybrid Problem Solving in ECLiPSe.- 1 Introduction.- 2 Integration of Constraints and Operations Research.- 3 Language Ingredients for Hybrid Solvers.- 4 ECLiPSe as a Platform for Building Hybrid Aigorithms.- 5 Programming a Hybrid Search in ECLiPSe.- 6 Conclusion.- References.- CP Based Branch-and-Price.- 1 Introduction.- 2 Three Illustrative Examples.- 3 Implementation Issues.- 4 Future Directions for CP Based Branch-and-Price.- References.- Randomized Backtrack Search.- 1 Introduction.- 2 Randomization of Backtrack Search Methods.- 3 Formal Models of Heavy-Tailed Behavior.- 4 Heavy and Fat-Tailed Distributions.- 5 Heavy and Fat-Tailed Distributions in Backtrack Search.- 6 Restart Strategies.- 7 Portfolio Strategies.- 8 Conclusions.- References.- Local Search and Constraint Programming.- LS and CP ilLustrated on a transportation Problem.- 1 Introduction.- 2 A didactic transportation problem.- 3 A CP approach for dTP.- 4 Constructive Algorithms.- 5 LS as Post-Optimization.- 6 Metaheuristics.- 7 LS during construction.- 8 Conclusions.- References.- Open Perspectives.- 1 Motivations, Challenges and Applications.- 2 Transforming Models to Aigorithms.- 3 New Techniques.- 4 New Application Areas.- References.