Skip to main content
Log in

Optimal Inventory Policies Involving Variable Lead Time with Defective Items

  • Technical Note
  • Published:
OPSEARCH Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. NADDOR, E. (1966). Inventory System, John Wiley, New York.

    Google Scholar 

  2. SILVER, E.A. AND PETERSON, R. (1985). Decision Systems for Inventory Management and Production Planning, John Wiley, New York.

    Google Scholar 

  3. TERSINE, R.J. (1982). Principles of Inventory and Materials Management, North Holland, New York.

    Google Scholar 

  4. DAS, C. (1975). Effect of Lead Time on Inventory: A Static Analysis, Ops. Res. Q. 26, 273–282.

    Article  Google Scholar 

  5. 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.

    Article  Google Scholar 

  6. MAGSON, D. (1979). Stock Control When the Lead Time cannot be Considered Constant, J. OPI. Res. Soc., 30, 317–322.

    Article  Google Scholar 

  7. 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.

    Article  Google Scholar 

  8. BEN-DAYA, M. AND RAOUF, A. (1994). Inventory Models Involving Lead Time as Decision Variable, J. Opl. Res. Soc., 45, 579–582.

    Article  Google Scholar 

  9. 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.

    Article  Google Scholar 

  10. 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.

    Article  Google Scholar 

  11. SCHWALLER, R. L. (1988). EOQ under Inspection Costs, Production & Inventory Management, Third Quarter, 22–24.

    Google Scholar 

  12. SHIH, W. (1980). Optimal Inventory Policies when Stockouts Result from Defective Products, Int. J. Prod. Res., 18, 677–686.

    Article  Google Scholar 

  13. BROWN, R.G. (1967). Decision Rules for Inventory Management, Holt, Rinehart, and Winston, New York.

    Google Scholar 

  14. GALLEGO, G. AND MOON, I. (1993). The Distribution Free Newsboy Problem: Review and Extensions, J. Opl. Res. Soc., 44, 825–834.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03398590

Navigation