Abstract
This paper allows the backorder rate as a control variable to widen applications of the Wu and Tsai’s 2001 model. Moreover, we also consider the backorder rate that proposed by combining the work of Ouyang and Chuang 2001 (also see Lee 2005) with the work of Pan and Hsiao 2001, 2005) (also see Pan et al. 2004) to present a new general form. Thus, the backorder rate is dependent on the amount of shortages and backorder price discounts. In addition, we also develop an algorithmic procedure to find the optimal inventory policy. Finally, a numerical example is also given to illustrate the results.
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References
Azoury KS, Brill PH (1992) Analysis of net inventory in continuous review models with random lead time. Eur J Oper Res 59:383–392
Ben-Daya M, Raouf A (1994) Inventory models involving lead time as decision variable. J Oper Res Soc 45:579–582
Chiu HN (1995) An approximation to the continuous review inventory model with perishable items and lead times. Eur J Oper Res 87:93–108
Compaq Visual Fortran, Professional Edition V6.0 Intel Version and IMSL (2000) Compaq Computer Corporation
Everitt BS, Hand DJ (1981) Finite mixture distribution. Chapman & Hall, London
Foote B, Kebriaei N, Kumin H (1988) Heuristic policies for inventory ordering problems with long and randomly varying lead times. J Oper Manage 7:115–124
Pan JC-H, Hsiao YC (2001) Inventory models with back-order discounts and variable lead time. Int J Syst Sci 32:925–929
Pan JC-H, Lo MC, Hsiao YC (2004) Optimal reorder point inventory models with variable lead time and backorder discount considerations. Eur J Oper Res 158:488–505
Pan JC-H, Hsiao YC (2005) Integrated inventory models with controllable lead time and backorder discount considerations. Int J Prod Econ 93–94:387–397
Kim DG, Park KS (1985) (Q, r) inventory model with a mixture of lost sales and time-weighted backorders. J Oper Res Soc 36:231–238
Lee WC (2005) Inventory model involving controllable backorder rate and variable lead time demand with the mixtures of distribution. Appl Math Comput 160:701–717
Liao CJ, Shyu CH (1991) An analytical determination of lead time with normal demand. Int J Oper Prod Manage 11:72–78
Liberatore M (1977) Planning horizons for a stochastic lead time model. Oper Res 25:977–988
Magson D (1979) Stock control when the lead time cannot be considered constant. J Oper Res Soc 30:317–322
Naddor E (1966) Inventory systems. Wiley, New York
Ouyang LY, Chuang BR (2001) Mixture inventory model involving variable lead time and controllable backorder rate. Comput Ind Eng 40:339–348
Ouyang LY, Yeh NC, Wu KS (1996) Mixture inventory model with backorders and lost sales for variable lead time. J Oper Res Soc 47:829–832
Silver EA, Peterson R (1985) Decision systems for inventory management and production planning. Wiley, New York
Tersine RJ (1982) Principles of inventory and materials management. North-Holland, Amsterdam
Wu JW, Tsai HY (2001) Mixture inventory model with back orders and lost sales for variable lead time demand with the mixtures of normal distribution. Int J Syst Sci 32:259–268
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Lee, WC., Wu, JW. & Lei, CL. Optimal inventory policy involving back-order discounts and variable lead time demand. Int J Adv Manuf Technol 34, 958–967 (2007). https://doi.org/10.1007/s00170-006-0663-7
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DOI: https://doi.org/10.1007/s00170-006-0663-7