Location, Scheduling, Design and Integer Programming

Padberg, M. W.; Rijal, Minendra

ISBN 10: 0792397150 / ISBN 13: 9780792397151

Editore: Kluwer Academic Publishers, 1996

Riguardo questo articolo

This work looks at location, scheduling and design problems which are assignment type problems with quadratic cost functions and occur in many contexts. It classifies the mathematical properties of ten such assignment type problems and addresses computationally. Series: International Series in Operations Research & Management Science. Num Pages: 220 pages, biography. BIC Classification: KJT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 14. Weight in Grams: 509. . 1996. Hardback. . . . . Books ship from the US and Ireland.

Codice articolo V9780792397151

Dati bibliografici

• Titolo: Location, Scheduling, Design and Integer Programming
• Editore: Kluwer Academic Publishers
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0792397150
• ISBN 13: 9780792397151
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

Location, scheduling and design problems are assignment type problems with quadratic cost functions and occur in many contexts stretching from spatial economics via plant and office layout planning to VLSI design and similar prob­ lems in high-technology production settings. The presence of nonlinear inter­ action terms in the objective function makes these, otherwise simple, problems NP hard. In the first two chapters of this monograph we provide a survey of models of this type and give a common framework for them as Boolean quadratic problems with special ordered sets (BQPSs). Special ordered sets associated with these BQPSs are of equal cardinality and either are disjoint as in clique partitioning problems, graph partitioning problems, class-room scheduling problems, operations-scheduling problems, multi-processor assign­ ment problems and VLSI circuit layout design problems or have intersections with well defined joins as in asymmetric and symmetric Koopmans-Beckmann problems and quadratic assignment problems. Applications of these problems abound in diverse disciplines, such as anthropology, archeology, architecture, chemistry, computer science, economics, electronics, ergonomics, marketing, operations management, political science, statistical physics, zoology, etc. We then give a survey of the traditional solution approaches to BQPSs. It is an unfortunate fact that even after years of investigation into these problems, the state of algorithmic development is nowhere close to solving large-scale real­ life problems exactly. In the main part of this book we follow the polyhedral approach to combinatorial problem solving because of the dramatic algorith­ mic successes of researchers who have pursued this approach.

Contenuti

Preface. 1. Location Problems. 2. Scheduling and Design Problems. 3. Solution Approaches. 4. Locally Ideal LP Formulations I. 5. Locally Ideal LP Formulations II. 6. Quadratic Scheduling Problems. 7. Quadratic Assignment Polytopes. 8. Solving Small QAPs. A. FORTRAN Programs for Small SQPs. References. Index.