论文信息 - A PARAMETRIC STUDY ON TRANSPORTATION PROBLElVI UNDER FUZZY ENVIRONMENT

A PARAMETRIC STUDY ON TRANSPORTATION PROBLElVI UNDER FUZZY ENVIRONMENT

This paper presents a solution algorithm for sohing the transportation problem having fuZLy parameters in the constraints. A parametric study is carried out for this problem. Some basic stability notions are defined and characterized for the problem of concern. These notions are the set of feasible parameters. the solvability set and the stability set of the first kind. Finally. an illustrative numerical example is given to clarifv the theory and the solution algorithm

S. A. Abass | O. Saad

[1] G. Dantzig,et al. The Allocation of Aircraft to Routes—An Example of Linear Programming Under Uncertain Demand , 1956 .

[2] Walter W Garvin,et al. Introduction to Linear Programming , 2018, Linear Programming and Resource Allocation Modeling.

[3] Abraham Charnes,et al. Management Models and Industrial Applications of Linear Programming , 1961 .

[4] A. Charnes,et al. Management Models and Industrial Applications of Linear Programming , 1961 .

[5] E. Balas. The Dual Method for the Generalized Transportation Problem , 1966 .

[6] G. Thompson,et al. An operator theory of parametric programming for the transportation problem‐II , 1972 .

[7] Gerald L. Thompson,et al. An operator theory of parametric programming for the generalized transportation problem—IV—global operators , 1975 .

[8] Gerald L. Thompson,et al. An operator theory of parametric programming for the generalized transportation problem: I. Basic theory , 1975 .

[9] Gerald L. Thompson,et al. An operator theory of parametric programming for the generalized transportation problem: II Rim, cost and bound operators† , 1975 .

[10] M. Osman,et al. Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function , 1977 .

[11] Didier Dubois,et al. Fuzzy sets and systems ' . Theory and applications , 2007 .

[12] Richard D. Wollmer,et al. A Fuel Management Model for the Airline Industry , 1992, Oper. Res..