Minimax Under Transportation Constrains: 27 - Rilegato

Tsurkov, Vladimir; Mironov, A.

 
9780792356097: Minimax Under Transportation Constrains: 27
Rilegato
ISBN 10: 0792356098 ISBN 13: 9780792356097
Casa editrice: Kluwer Academic Publishers, 1999

Sinossi

Transportation problems belong to the domains mathematical program­ ming and operations research. Transportation models are widely applied in various fields. Numerous concrete problems (for example, assignment and distribution problems, maximum-flow problem, etc. ) are formulated as trans­ portation problems. Some efficient methods have been developed for solving transportation problems of various types. This monograph is devoted to transportation problems with minimax cri­ teria. The classical (linear) transportation problem was posed several decades ago. In this problem, supply and demand points are given, and it is required to minimize the transportation cost. This statement paved the way for numerous extensions and generalizations. In contrast to the original statement of the problem, we consider a min­ imax rather than a minimum criterion. In particular, a matrix with the minimal largest element is sought in the class of nonnegative matrices with given sums of row and column elements. In this case, the idea behind the minimax criterion can be interpreted as follows. Suppose that the shipment time from a supply point to a demand point is proportional to the amount to be shipped. Then, the minimax is the minimal time required to transport the total amount. It is a common situation that the decision maker does not know the tariff coefficients. In other situations, they do not have any meaning at all, and neither do nonlinear tariff objective functions. In such cases, the minimax interpretation leads to an effective solution.

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Contenuti

Preface. 1. Transportation Models with Minimax Criteria and Preliminary Constructions.2. Minimax Criteria and Solution Methods for Transportation Problems. 3. Integer Transportation Matrices. 4. Extremal Vector Pairs and Matrices. 5. Fundamental Polyhedrons. Index.

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Editore
Kluwer Academic Publishers
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
0792356098
ISBN 13 
9780792356097
Rilegatura
Copertina rigida
Numero di pagine
310
Contatto del produttore
non disponibile
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Altre edizioni note dello stesso titolo

9781461368182: Minimax Under Transportation Constrains: 27

Edizione in evidenza

ISBN 10:  1461368189 ISBN 13:  9781461368182
Casa editrice: Springer, 2013
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