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Single-Facility Location Problems with Barriers

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Single-Facility Location Problems with Barriers

Single-Facility Location Problems with Barriers

Kathrin Klamroth

212 pages, parution le 03/12/2002

Résumé

Growing transportation costs and tight delivery schedules mean that good located decisions are more crucial than ever in the success or failure of industrial and public projects. The development of realistic location models is an essential phase in every locational decision process. Especially when dealing with geometric representations of continuous (planar) location model problems, the geographical reality must be incorporated.

This text develops the mathematical implications of barriers to the geometrical and analytical characteristics of continuous location problems. Besides their relevance in the application of location theoretic results, location problems with barriers are also very interesting from a mathematical point of view. The nonconvexity of distance measures in the presence of barriers leads to nonconvex optimization problems. Most of the classical methods in continuous location theory rely heavily on the convexity of the objective function and will thus fail in this context. On the other hand, general methods in global optimization capable of treating nonconvex problems ignore the geometric characteristics of the location problems considered. Theoretic as well as algorithmic approaches are utilized to overcome the described difficulties for the solution of location problems with barriers. Depending on the barrier shapes, the underlying distance measure, and type of objective function, different concepts are conceived to handle the nonconvexity of the problem.

This book will appeal to those working in operations research and management science and mathematicians interested in optimization theory and its applications.

Contents

I- Introducing and General Results
  • Measuring Distances
  • Shortest Paths in the Presence of Barriers
  • Location Problems with Barriers-Basic Concepts and Literature Review
  • Bounds for Location Problems with Barriers
II- Solution Methods For Specially Shaped Barriers
  • Planar Location Problems with Polyhedral Barriers
  • Location Problems with a Circular Barrier
  • Weber Problems with a Line Barrier
III- Solution Method for Special Distance and Objective Functions
  • Weber Problems with Block Norms
  • Center Problems with the Manhattan Metric
  • Multicriteria Location Problems with Polyhedral Barriers
IV- Application
  • Location with Barriers Put to Work in Practice

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Kathrin Klamroth
Parution 03/12/2002
Nb. de pages 212
Format 16 x 24
Couverture Relié
Poids 418g
Intérieur Noir et Blanc
EAN13 9780387954981
ISBN13 978-0-387-95498-1

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