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This paper deals with the transportation problem of minimizing the ratio of two linear functions subject to a set of linear equations and non-negativity conditions on the variables (or constraints of the classical transportation problem). In this paper, we extend the transportation problem with the linear objective function to the transportation problem with the linear fractional objective function...
A method, based on the fuzzy programming theory, was outlined to estimate the regional single-mode highway freight origin-destination matrix. Due to the problem nature, data from multi-source were used instead of a large-scale field OD survey. A bi-objective non-linear programming model was presented, taking account of the intermodal OD issue. Fuzzy mathematics was applied to solve the uncertainty...
The fixed charge transportation problem is an extension of the traditional transportation problem in which two kinds of costs, say direct cost and fixed charge, are taken into consideration. The direct cost is the cost associated with each source-destination pair, and the fixed charge occurs when the transportation activity takes place in the corresponding source-destination pair. In this paper, the...
Factors affecting the shipping cost were not considered in conventional transportation problem. Using the calculation formula of two fuzzy numbers stemmed from the solution of fuzzy equation based on goal programming, the shipping cost of conventional transportation problem is considered and the tabular method for conventional transportation is developed to fuzzy environment in this paper. The optimal...
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