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A Fuzzy Inventory Model of Deteriorating Items with Stock-dependent Demand under Limited Storage Space

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Abstract

A profit maximization deteriorating multi-item inventory model with stock-dependent demand is developed in fuzzy environment. Here, the available space for inventory storage is limited, holding cost and selling price are purchasing price dependent and the rate of production is finite and uniform. The fuzzy environment is created making the inventory costs, purchasing price, storage area and the rate of deterioration imprecise and vague to certain extent. The impreciseness of these parameters are expressed by linear and non-linear membership functions. The fuzzy model is solved by fuzzy non-linear programming (FNLP) method and illustrated with a numerical example. The results of the fuzzy model are compared with those of the crisp model. Parametric study of the model and its sensitivity with respect to some parameters are presented.

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Author information

Authors and Affiliations

  1. Department of applied Mathematics with Oceanology and Computer, Programming Vidyasagar University, Midnapore, 721 102, West Bengal, India

    M. Maiti

  2. Department of Mathematics Bengal Engineering College, Deemed University, Howrah, 711 103, West Bengal, India

    T. K. Roy

  3. Department of Mathematics Midnapore College, Midnapore, 721 101, West Bengal, India

    M. Mandal

Authors
  1. M. Mandal
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  2. T. K. Roy
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  3. M. Maiti
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Mandal, M., Roy, T.K. & Maiti, M. A Fuzzy Inventory Model of Deteriorating Items with Stock-dependent Demand under Limited Storage Space. OPSEARCH 35, 323–337 (1998). https://doi.org/10.1007/BF03398552

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