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This study introduces differential evolution to solve the transportation problem with fuzzy coefficients. Differential evolution has received increasing attention owing to its simplicity and effectiveness in solving numerical optimization problems. The fuzzy coefficients in the objective functions include fuzzy demands and fuzzy supplies, which are represented as fuzzy numbers. The signed-distance...
Based on credibility theory, this paper firstly constructs a new type of fuzzy transportation expected value model with credibility constraint, in which the transportation cost and the man-power coefficients are uncertain and assumed to be characterized by fuzzy variables with known possibility distributions. Then we discuss some basic properties with respect to the objective function and credibility...
The aim of this work is to introduction a genetic algorithm to solve transportation problem with fuzzy objective functions. The fuzzy objective functions have fuzzy demand and supply coefficients, which are represented as fuzzy numbers. The ranking fuzzy numbers with signed-distance measurement are used for the evaluation and selection of the algorithm. The proposed genetic algorithm is not only simulating...
In this paper, the multiple-depot vehicle routing problem with fuzzy demands is considered, on the basis of uncertain demand of multiple-depot vehicle routing problem, a fuzzy chance constrained program is designed based on fuzzy credibility theory. Then the hybrid genetic algorithm based on fuzzy simulation is used to solve the vehicle routing model. In genetic algorithm, a new code is given, and...
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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