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A transportation problem with competition

✍ Scribed by Ezio Marchi; Pablo Tarazaga


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
380 KB
Volume
30
Category
Article
ISSN
0894-069X

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✦ Synopsis


Abstract

The classic transportation problem can be generalized with many carriers and one owner. From the formulation the competition in sense of game theory naturally appears. Here we present and solve this problem using a generalized n‐person game. Besides the same composition properties about solutions and regarding zones, related results are considered. Finally, the problem in which there is a modification of the set of destinations assigned to the carriers is also studied.


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This article studies a transportation problem in a multimodal network with shipment consolidation options. A freight forwarder can use a mix of flexible-time and scheduled transportation services. Time windows are a prominent aspect of the problem. For instance, they are used to model pickup and del