An inventory model with backorders with fuzzy parameters and decision variables

Authors:
N. Kazemi;E. Ehsani;M. Y. Jaber
Affiliations:
Department of Industrial Engineering, Alghadir Non-Governmental Higher Education Institution, Tabriz, Iran;Department of Industrial Engineering, Alghadir Non-Governmental Higher Education Institution, Tabriz, Iran;Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, Canada M5B 2K3
Venue:
International Journal of Approximate Reasoning
Year:
2010

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Abstract

The paper considers an inventory model with backorders in a fuzzy situation by employing two types of fuzzy numbers, which are trapezoidal and triangular. A full-fuzzy model is developed where the input parameters and the decision variables are fuzzified. The optimal policy for the developed model is determined using the Kuhn-Tucker conditions after the defuzzification of the cost function with the graded mean integration (GMI) method. Numerical examples and a sensitivity analysis study are provided to highlight the differences between crisp and the fuzzy cases.