UID:
almahu_9949462112302882
Format:
1 online resource (203 p.)
ISBN:
9783110267686
,
9783110238570
Series Statement:
De Gruyter Series in Discrete Mathematics and Applications , 1
Content:
Combinatorial optimization is a fascinating topic. Combinatorial optimization problems arise in a wide variety of important fields such as transportation, telecommunications, computer networking, location, planning, distribution problems, etc. Important and significant results have been obtained on the theory, algorithms and applications over the last few decades. In combinatorial optimization, many network design problems can be generalized in a natural way by considering a related problem on a clustered graph, where the original problem's feasibility constraints are expressed in terms of the clusters, i.e., node sets instead of individual nodes. This class of problems is usually referred to as generalized network design problems (GNDPs) or generalized combinatorial optimization problems. The express purpose of this monograph is to describe a series of mathematical models, methods, propositions, algorithms developed in the last years on generalized network design problems in a unified manner. The book consists of seven chapters, where in addition to an introductory chapter, the following generalized network design problems are formulated and examined: the generalized minimum spanning tree problem, the generalized traveling salesman problem, the railway traveling salesman problem, the generalized vehicle routing problem, the generalized fixed-charge network design problem and the generalized minimum vertex-biconnected network problem. The book will be useful for researchers, practitioners, and graduate students in operations research, optimization, applied mathematics and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will find this book useful, too.
Note:
Frontmatter --
,
Contents --
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Chapter 1. Introduction --
,
Chapter 2. The Generalized Minimum Spanning Tree Problem (GMSTP) --
,
Chapter 3. The Generalized Traveling Salesman Problem (GTSP) --
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Chapter 4. The Railway Traveling Salesman Problem (RTSP) --
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Chapter 5. The Generalized Vehicle Routing Problem (GVRP) --
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Chapter 6. The Generalized Fixed-Charge Network Design Problem (GFCNDP) --
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Chapter 7. The Generalized Minimum Edge-Biconnected Network Problem (GMEBCNP) --
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Bibliography --
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Index
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Issued also in print.
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Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926
Additional Edition:
ISBN 9783110267587
Language:
English
DOI:
10.1515/9783110267686
URL:
https://doi.org/10.1515/9783110267686
URL:
https://www.degruyter.com/isbn/9783110267686
URL:
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