Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages

Authors

  • Kun-Shan Wu Department of Bussines Administration, Tamkang University, Tamsui, Taipei, Taiwan

DOI:

https://doi.org/10.2298/YJOR0201061W

Keywords:

Inventory, time-varying demand, Weibull distribution, shortage.

Abstract

In this paper, an EOQ inventory model is depleted not only by time varying demand but also by Weibull distribution deterioration, in which the inventory is permitted to start with shortages and end without shortages. A theory is developed to obtain the optimal solution of the problem; it is then illustrated with the aid of several numerical examples. Moreover, we also assume that the holding cost is a continuous, non-negative and non-decreasing function of time in order to extend the EOQ model. Finally, sensitivity of the optimal solution to changes in the values of different system parameters is also studied.

References

Aggarwal, S.P. (1978) A note on an order level inventory model for a system with constant rate of deterioration. Opsearch, 15, 4, 184-187

Beyer, D., Sethi, S. (1998) A proof of the EOQ formula using quasi-variation inequalities. International Journal of Systems Science, 29, 1295-1299

Chung, K., Ting, P.S. (1993) A heuristic for replenishment of deteriorating items with a linear trend in demand. J Oper Res Soc, vol. 44, 1235-1241

Covert, R.P., Philip, G.C. (1973) An EOQ model for items with Weibull distribution deteriorating. AIIE Transactions, vol. 5, str. 323-326

Dave, U., Patel, L.K. (1988) Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian Journal of Pure and Applied Mathematics, 19, 11, 1043-1053

Dave, U., Patel, L.K. (1992) A note on a replenishment policy for an inventory model with linear trend in demand and shortage. J Oper Res Soc, vol. 43, 993-1001

Deb, M., Chaudhuri, K.S. (1992) An EOQ model for items with finite rate of production and variable rate of deterioration. J Oper Res Soc, vol. 43, 175-181

Donaldson, W.A. (1977) Inventory replenishment policy for a linear trend in demand: An analytic solution. Operational Research Quarterly, 28, 663-670

Ghare, P.M., Schrader, G.F. (1956) A model for exponentially decaying inventory. Journal of Industrial Engineering, vol. 14, str. 238-243

Giri, B.C., Goswami, A., Chaudhuri, K.S. (1996) An EOQ model for deteriorating items with time varying demand and costs. J Oper Res Soc, vol. 47, str. 1398-1405

Giri, B.C., Chaudhuri, K.S. (1998) Deterministic models for perishable inventory with stock dependent demand rate and nonlinear holding cost. European Journal of Operational Research, vol. 105, str. 467-474

Goel, V.P., Aggarwal, S.P. (1981) Order level inventory system with power demand pattern for deteriorating items. u: Proceedings all India Seminar on Operational Research and Decision Making, Delhi: University of Delhi

Goh, M. (1994) EOQ models with general demand and holding cost function. European Journal of Operational Research, 73, 50-54

Hwang, H.S. (1997) A study on an inventory model for items with Weibull ameliorating. Computers and Industrial Engineering, 33, 701-704

Kishan, H., Mishra, P.N. (1995) An inventory model with exponential demand and constant deterioration with shortages. Indian J. Math., 37, 3, 275-279 (1997)

Mandal, B., Pal, A.K. (1998) Order level inventory system with ramp type demand rate for deteriorating items. J Interdiscip. Math., 1, 1, 49-66

Muhlemann, A.P., Valtis-Spanopoulos, N.P. (1980) A variable holding cost rate EOQ model. European Journal of Operational Research, 4, 132-135

Naddor, E. (1966) Inventory systems. New York, itd: Wiley

Pal, A.K., Mandal, B. (1997) An EOQ model for deteriorating inventory with alternating demand rates. Korean J. Comput. Appl. Math., 4, 2, 397-407

Ritchie, E. (1984) The EOQ for linear increasing demand, a simple solution. Journal of the Operational Research Society, vol. 35, 949-952

Shah, Y.K., Jaiswal, M.C. (1977) An order-level inventory model for a system with constant rate of deterioration. Opsearch, vol. 14, str. 174-184

Silver, E.A. (1979) A simple inventory replenishment decision rule for a linear trend in demand. Journal of the Operational Research Society, vol. 30, 71-75

van der Veen, B. (1967) Introduction to the theory of operational research. New York: Philip Technical Library - Springer

Weiss, H.J. (1982) Economic order quantity models with nonlinear holding cost. European Journal of Operational Research, 9, 56-60

Wu, J., Lin, C., Tan, B., Lee, W.C. (1999) An EOQ inventory model with ramp type demand rate for items with Weibull deterioration. International Journal of Information Management, 10, 41-51

Wu, J., Lin, C., Tan, B., Lee, W.C. (2000) An EOQ inventory model with type-varying demand and Weibull deterioration with shortages. International Journal of Systems Science, 31, 677-684

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Published

2002-03-01

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Research Articles