A stochastic bottleneck transportation problem

A stochastic bottleneck transportation problem

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Article ID: iaor1995763
Country: United Kingdom
Volume: 45
Issue: 5
Start Page Number: 583
End Page Number: 588
Publication Date: May 1994
Journal: Journal of the Operational Research Society
Authors: ,
Abstract:

In this paper, a stochastic bottleneck transportation problem, which aims at minimizing the transportation time target subject to a chance constraint, is formulated and an algorithm based on a parametric programming approach is developed to solve it. Further, assuming the transportation costs to be deterministic, a trade-off analysis between the transportation time target and the total cost is given. In addition, methods are developed which give the whole spectrum of optimal solutions to the problems mentioned above. The algorithms are illustrated by numerical examples. The computational complexity of the algorithms is also discussed.

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