Production Planning by Mixed Integer Programming

Yves Pochet, Laurence A. Wolsey

Springer Science & Business Media, Sep 23, 2006 - Business & Economics - 500 pages

This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems.

Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach.

The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations.

Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)

Contents

• Introduction: 3
• Production Planning Models and Systems 39: 38
• Mixed Integer Programming Algorithms: 77
• Classification and Reformulation 115: 114
• Reformulations in Practice: 155
• Basic Polyhedral Combinatorics for Production Planning: 182
• SingleItem Uncapacitated LotSizing: 207
• 10: 225
• Basic MIP and Fixed Cost Flow Models: 235
• 9: 272
• Backlogging and StartUps: 303
• Exercises: 331
• MultiItem SingleLevel Problems 369: 367
• MultiLevel LotSizing Problems: 395
• Test Problems: 421
• References 483: 482
• Index: 493

Bibliographic information

• Title: Production Planning by Mixed Integer Programming; Springer Series in Operations Research and Financial Engineering
• Authors: Yves Pochet, Laurence A. Wolsey
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2006
• ISBN: 0387334777, 9780387334776
• Length: 500 pages
• Subjects: Business & Economics / Management; Business & Economics / Operations Research; Business & Economics / Production & Operations Management; Computers / Software Development & Engineering / General; Mathematics / Applied; Technology & Engineering / Industrial Engineering; Technology & Engineering / Manufacturing