A displayed inventory model with L---R fuzzy number

Authors:
Nirmal Kumar Mandal;Tapan Kumar Roy
Affiliations:
Department of Mathematics, Silda Chandrasekhar College, Silda, Paschim Medinipur, India 721515;Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, India 711103
Venue:
Fuzzy Optimization and Decision Making
Year:
2006

Citing 0
Cited 2

A hybrid method of Pareto, TOPSIS and genetic algorithm to optimize multi-product multi-constraint inventory control systems with random fuzzy replenishments

Mathematical and Computer Modelling: An International Journal
A hybrid method of fuzzy simulation and genetic algorithm to optimize constrained inventory control systems with stochastic replenishments and fuzzy demand

Information Sciences: an International Journal

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Abstract

In this study, we formulate a multi-item displayed inventory model under shelf-space constraint in fuzzy environment. Here demand rate of an item is considered as a function of the displayed inventory level. The problem is formulated to maximize average profit. In real life situation, the goals and inventory parameters are may not precise. Such type of uncertainty may be characterized by fuzzy numbers. Here, the constraint goal and the inventory cost parameters are assumed to be triangular shaped fuzzy numbers with different types of left and right membership functions. The fuzzy numbers are then approximated to a nearest interval number. Using arithmetic of interval numbers, the problem is described as a multi-objective inventory problem. The problem is then solved by fuzzy geometric programming approach. Finally a numerical example is given to illustrate the problem.