A Transportation model with multiple criteria and multiple constraint levels

Authors:
Y. Shi
Affiliations:
Department of Information Systems and Quantitative Analysis College of Business Administration University of Nebraska at Omaha, Omaha, NE 68182, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1995

Citing 6
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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.