Studies on imprecise Economic Order Quantity model using interval parameter
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Abstract
In this paper, we introduce an imprecise economic order quantity (EOQ) model with demand, holding cost and set up cost are assumed as an interval number. We consider the parameters of the proposed model with imprecise data as form of interval number. The proposed EOQ model is presented with impreciseness of parameters by introducing parametric functional form of interval number and then solves the problem by geometric programming technique. Numerical example is presented to support of the proposed approach.
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Axsater. S, Inventory Control , second edition , chapter 4,PP. 52-61.Library of Congress Control Number:2006922871, ISBN-10:0-387-33250-2 (HB), © 2006 by Springer Science +Business Media, LLC.
Cheng.T.E.C “An economic order quantity model with demand-dependent unit costâ€, European Journal of Operation Research, 40(1989), 252-256.
Donaldson, W.A., “Inventory replenishment policy for a linear trend in demand - an analytical solutionâ€, Operational Research Quarterly, 28 (1977) 663-670.
Duffin, R. J., Peterson, E. L. and Zener, C. Geometric Programming-Theory and Application. New York: John Wiley. 1967.
D. Dutta, Pravin Kumar, Fuzzy inventory without shortages using trapezoidal fuzzy number with sensitivity analysis, IOSR Journal of mathematics, 4 (3) (2012) 32-37.
Geunes.J, Shen.J.Z, Romeijn.H.E, Economic ordering Decision with Market Choice Flexibility, DOI 10.1002/nav.10109, June 2003.
Kicks.P,and Donaldson, W.A., “Irregular demand: assessing a rough and ready lot size formulaâ€, Journal of Operational Research Society, 31 (1980) 725-732.
Kochenberger, G. A. Inventory models: Optimization by geometric programming.
Decision Sciences. 1971. 2: 193–205.
Islam.S, Roy.T.K, A fuzzy EPQ model with flexibility and reliability consideration and demand depended unit Production cost under a space constraint: A fuzzy geometric programming approach, Applied Mathematics and Computation, 176 (2) (2006) 531-544.
Islam.S , Roy.T.K, Modified Geometric programming problem and its applications, J. Appt. Math and computing, 17 (1) (2005) 121-144.
Liu, S. T. Using geometric programming to profit maximization with interval coefficients
and quantity discount. Applied Mathematics and Computation. 2009. 209: 259–265.
Mahapatra,G.S. Mandal,T.K, “Posynomial parametric Geometric programming with Interval Valued Coefficientâ€, J Optim Theory Appl.(2012) 154: 120-132
Ritchie. E., “Practical inventory replenishment policies for a linear trend in demand followed by a period of steady demandâ€, Journal of Operational Research Society, 31 (1980) 605-613.
Ritchie. E., “The EOQ for linear increasing demand: a simple optimal solution†Journal of Operational Research Society, 35 (1984) 949-952.
Roy.T.K, Maity.M, “A fuzzy EOQ model with demand-dependent unit under limited storage capacityâ€, European Journal of Operation Research, 99(1997) 425-432.
Silver.E.A“A simple inventory replenishment decision rule for a linear trend in demandâ€, Journal of Operational Research Society, 30 (1979) 71-75.
Silver. E.A., and Meal. H.C., “A simple modification of the EOQ for the case of a varying demand rateâ€, Production and Inventory Management, 10(4) (1969) 52-65.
Taha. A.H, Operations Research: An Introduction,chapter11/8th edition, ISBN 0-13-188923•0.
Worral, B. M. and Hall, M. A. The analysis of an inventory control model using posynomial geometric programming. International Journal of Production Research. 1982. 20: 657–667.