UNCERTAIN SOLID TRANSPORTATION PROBLEMS

The solid transportation problem arises when bounds are given on three item properties. Usually, these properties are source, destination an d type of product or mode of transport, and often are given in a uncer tain way. This paper deals with two of the ways in which uncertainty c an appear in the problem: Interval solid transportation problem and fu zzy solid transportation problem. The first arises when data problem a re expressed as intervals instead of point values, and the second when the nature of the information is vague. Both models are treated in th e case in which the uncertainty affects only the constraint set. For i nterval case, an auxiliary problem is obtained in order to find a solu tion. This auxiliary problem is a standard solid transportation proble m which can be solved with the efficient methods existing. For fuzzy c ase, a parametric approach which makes it possible to find a fuzzy sol ution to the former problem is used. (C) 1998 Elsevier Science B.V. Al l rights reserved.