Abstract
This chapter considers a fixed charged solid transportation problem where all
parameters of the problem have uncertainty due to ambiguity in the data set. These uncertain
parameters (destination budget, accessibility, necessity, conveyance capacity, and
transportation cost) are considered bounded. The problem’s solution is obtained by applying a
transformation of the interval-based model into a conventional nonlinear programming
problem. The transformed model is solved using any nonlinear programming technique. The
solution obtained by the deterministic model is an acceptable solution to the main model. An
examples with hypothetical data are explained to validate the developed model and
methodology.
Keywords: Fixed charge, Solid transportation problem, Interval analysis, Partial ordering, Nonlinear programming problem, Mathematics.
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