Abstract
This paper investigates and analyzes that an arrival order lot may contain some defective items, and the defective rate is a random variable. It also considers a mixture inventory model with backorders and lost sales in which the lead time, order quantity and reorder point are viewed as decision variables. In this study, we first assume that the lead time demand follows a normal distribution, and then relax the assumption about the form of the distribution function of lead time demand and only assume that the mean and variance are known. For each case, we develop an algorithm to find the optimal ordering policy. Furthermore, the sensitivity analysis is performed.
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References
NADDOR, E. (1966). Inventory System, John Wiley, New York.
SILVER, E.A. AND PETERSON, R. (1985). Decision Systems for Inventory Management and Production Planning, John Wiley, New York.
TERSINE, R.J. (1982). Principles of Inventory and Materials Management, North Holland, New York.
DAS, C. (1975). Effect of Lead Time on Inventory: A Static Analysis, Ops. Res. Q. 26, 273–282.
FOOTE, B., KEBRIAEI, N. AND KUMIN, H. (1988). Heuristic Policies for Inventory Ordering Problems with Long and Randomly Varying Lead Times, J. Opns. Mgmt., 7, 115–124.
MAGSON, D. (1979). Stock Control When the Lead Time cannot be Considered Constant, J. OPI. Res. Soc., 30, 317–322.
LIAO, C.J. AND SHYU, C.H. (1991). An Analytical Determination of Lead Time with Normal demand, Int. J. Opns. Prod. Mgmt., 11, 72–78.
BEN-DAYA, M. AND RAOUF, A. (1994). Inventory Models Involving Lead Time as Decision Variable, J. Opl. Res. Soc., 45, 579–582.
OUYANG, L.Y., YEH, N.C. AND WU, K.S. (1996). Mixure Inventory Model with Backorders and Lost Sales for Variable Lead Time, J. Opl. Res. Soc., 47, 829–832.
PAKNJAD, M.J., NASRI, F. AND AFFISCO, J.F. (1995). Defective Units in a Ckontinuous Review (s, Q) System, Int. J. Prod. Res., 33, 2767–2777.
SCHWALLER, R. L. (1988). EOQ under Inspection Costs, Production & Inventory Management, Third Quarter, 22–24.
SHIH, W. (1980). Optimal Inventory Policies when Stockouts Result from Defective Products, Int. J. Prod. Res., 18, 677–686.
BROWN, R.G. (1967). Decision Rules for Inventory Management, Holt, Rinehart, and Winston, New York.
GALLEGO, G. AND MOON, I. (1993). The Distribution Free Newsboy Problem: Review and Extensions, J. Opl. Res. Soc., 44, 825–834.
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Ouyang, LY., Chuang, BR. & Wu, KS. Optimal Inventory Policies Involving Variable Lead Time with Defective Items. OPSEARCH 36, 374–389 (1999). https://doi.org/10.1007/BF03398590
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DOI: https://doi.org/10.1007/BF03398590