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

Abou-el-ata, M.O., Kotb, K.A. (1997) Multi-item EOQ inventory model with varying holding cost under two restrictions: A geometric programming approach. Production Planning and Control, 8(6): 608

Bellman, R.E., Zadeh, L.A. (1971) Decision-making in a fuzzy environment. Management Science, 17, 141-B164

Cheng, T.C.E. (1991) An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IEE Transactions, 23, 23-28

Cheng, T.C.E. (1989) An economic order quantity model with demand-dependent unit cost. European Journal of Operational Research, 40(2): 252

Duffn, R.J., Peterson, E.L., Zener, C. (1967) Geometric programming: Theory and application. New York, itd: Wiley

Hariri, A.M.A., Abou-el-ata, M.O. (1997) Multi-item production lot-size inventory model with varying order cost under a restriction: A geometric programming approach. Production Planning and Control, 8(2): 179

Jung, H., Klein, C.M. (2001) Optimal inventory policies under decreasing cost functions via geometric programming. European Journal of Operational Research, 132(3): 628

Kotchenberger, G.A. (1971) Inventory models: Optimization by geometric programming. Decision sciences, 2, 193-205

Park, K.S. (1987) Fuzzy set theoretic interpretation of economic order quantity. IEEE Transactions on Systems Man and Cybernetics, vol. 17, br. 16, str. 1082-1084

Roy, T.K., Maiti, M. (1997) A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity. European Journal of Operational Research, 99, str. 425-432

Roy, T.K., Maiti, M. (1995) A fuzzy inventory model with constraint. Opsearch, 32, 4, 287-298

Shawky, A.I., Abou-El-Ata, M.O. (2001) Constrained production lot-size model with trade credit policy: A comparison geometric programming approach via Lagrange. Production Planning and Control, 12, 654-659

Sommer, G. (1981) Fuzzy inventory scheduling. u: Lasker G [ur.] Applied Systems and Cybernetics, New York-San Diego, itd: Academic Press

Tiwari, R.N., Dharmar, S., Rao, J.R. (1987) Fuzzy goal programming? An additive model. Fuzzy Sets and Systems, 24 (1): 27

Worral, B.M., Hall, M.A. (1982) The analysis of an inventory control model using polynomial geometric programming. International Journal of Production Research, 20, 657-667

Zadeh, L.A. (1965) Fuzzy sets. Information and Control, vol. 8, br. 3, str. 338-353

Zimmermann, H.J. (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1, 1, 45-55

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Published

2006-03-01

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Section

Research Articles