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.
| ISBN: | 9780792397151 |
| Publication date: | 30th April 1996 |
| Author: | M W Padberg, Minendra P Rijal |
| Publisher: | Springer an imprint of Springer US |
| Format: | Hardback |
| Pagination: | 220 pages |
| Series: | International Series in Operations Research & Management Science |
| Genres: |
Operational research Mathematical modelling Management decision making Maths for engineers |
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.
Location, Scheduling, Design and Integer Programming features in the following genres: Operational research, Mathematical modelling, Management decision making, Maths for engineers
Location, Scheduling, Design and Integer Programming is available in Hardback
Location, Scheduling, Design and Integer Programming was written by M W Padberg, Minendra P Rijal and published by Springer an imprint of Springer US
Location, Scheduling, Design and Integer Programming has 220 pages
Yes it is part of International Series in Operations Research & Management Science series