Multi-item fuzzy inventory problem with space constraint via geometric programming method

Authors

  • Kumar Nirmal Mandal Department of Mathematics, Silda Chandrasekhar College, Silda, Paschim Medinipu, West Bengal
  • Kumar Tapan Roy Department of Mathematics, Bengal Engineering and Science University, Howrah, West Bengal
  • Manoranjan Maiti Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal

DOI:

https://doi.org/10.2298/YJOR0601055M

Keywords:

inventory, fuzzy programming, modified geometric programming

Abstract

In this paper, a multi-item inventory model with space constraint is developed in both crisp and fuzzy environment. A profit maximization inventory model is proposed here to determine the optimal values of demands and order levels of a product. Selling price and unit price are assumed to be demand-dependent and holding and set-up costs sock dependent. Total profit and warehouse space are considered to be vague and imprecise. The impreciseness in the above objective and constraint goals has been expressed by fuzzy linear membership functions. The problem is then solved using modified geometric programming method. Sensitivity analysis is also presented here.

References

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Published

2006-03-01

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Section

Research Articles