Abstract
In this paper, a transportation model with multiple criteria and multiple constraint levels (MC 2) is formulated by using the framework of MC 2 linear programming. An algorithm is developed to solve such MC 2 transportation problems. In this algorithm, the traditional northwest corner rule is adopted to find an initial basic feasible solution for a given MC 2 transportation problem. Then the MC 2-simplex method is applied to locate the set of all potential solutions over possible changes of the objective coefficient parameter and the supply and demand parameter for the MC 2 transportation problem. A numerical example is illustrated to demonstrate the applicability of the algorithm in solving the MC 2 transportation problems.
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