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A displayed inventory model with L–R fuzzy number

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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.

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Authors and Affiliations

  1. Department of Mathematics, Silda Chandrasekhar College, Silda, Paschim Medinipur, 721515, India

    Nirmal Kumar Mandal

  2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, India

    Tapan Kumar Roy

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  1. Nirmal Kumar Mandal
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  2. Tapan Kumar Roy
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Correspondence to Nirmal Kumar Mandal.

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Mandal, N.K., Roy, T.K. A displayed inventory model with L–R fuzzy number. Fuzzy Optim Decis Making 5, 227–243 (2006). https://doi.org/10.1007/s10700-006-0012-1

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