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Könyv Minimax Under Transportation Constrains Vladimir Tsurkov

Minimax Under Transportation Constrains

Szerző: Vladimir Tsurkov, A. Mironov
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer
Elérhetőség: Beszállítói készleten alacsony példányszámban
Küldés 13-18 napon belül
41 425 Ft
This monograph is devoted to transportation problems with minimax criteria. The cost function of the...

Információk a könyvről

Szerző
Vladimir Tsurkov, A. Mironov
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1999
oldal
310
EAN
9780792356097
ISBN
0792356098
Enbook ID
01395974
Kiadó
Springer
Súly
1390
Méretek
155 x 235 x 19

Teljes leírás

This monograph is devoted to transportation problems with minimax criteria. The cost function of the classical transportation problem contains tariff coefficients. It is a common situation that the decision-maker does not know their values. In other situations, they do not have any meaning at all, and neither do nonlinear tariff objective functions. §Instead of the classical cost function, a minimax cost function is introduced. In other words, a matrix with the minimal largest element is sought in the class of matrices with non-negative elements and given sums of row and column elements. The problem may also be interpreted as follows: suppose that the shipment time is proportional to the amount to be shipped. Then, the minimax gives the minimal time required to complete all shipments. An algorithm for finding the minimax and the corresponding matrix is developed. An extension to integer matrices is presented. Alternative minimax criteria are also considered. The solutions obtained are important for the theory of transportation polyhedrons. They determine the vertices of convex hulls of the sets of basis vector pairs and the corresponding matrices of solutions. §Audience: The monograph is addressed to specialists in operations research, optimization, and transportation problems.

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