A technical note on periodic inventory model with controllable lead time under service level constraint


Abstract


In this article, a periodic review inventory model having variable lead time, along with the service level constraint has been discussed. The demand during the protection interval is assumed to follow the Normal distribution. A wide range of expected shortages during the protection interval has been considered, with their corresponding values of safety factor. Keeping this in mind, we have returned to both Ouyang and Chuang (2000) and Liang et al. (2008) model. Further, it has been observed that both the models do not succeed in providing the solution for service level other than 98% and 99%.  In the light of this fact, we revisit the solution procedure of both the papers and are able to obtain the result for any level of service. Detail comparative analysis has also been presented.


DOI Code: 10.1285/i20705948v9n1p83

Keywords: Periodic inventory, Lead-Time, Shortages, Service level

References


References

Arnold, JRT (1998). Introduction to Materials Management. Englewood Cliffs, NJ: Prentice Hall Inc.

Ben-Daya, M., Raouf, A. (1994). Inventory models involving lead-time as decision variable. Journal of the Operational Research Society 45, 579-582.

Lee, W., Wu, J., Hsu, J. (2006). Computational algorithm for inventory model with a service level constraint, lead time demand with the mixture of distributions and controllable negative exponential backorder rate. Applied Mathematics and computation (New York), 175, 1125-1138.

Lee, W., Wu, J., Lei, C. (2007). Computational algorithmic procedure for optimal inventory policy involving ordering cost reduction and back-order discounts when lead time demand is controllable. Applied Mathematics and computation, 189, 186-200.

Liang, S.K., Chu, P., Yang, K.L. (2008). Improved periodic review inventory model involving lead-time with crashing components and service level. International Journal of Systems Science 39, 4, 421-426.

Liao, C.J., Shyu, C.H. (1991). An analytical determination of lead-time with normal demand. International Journal of Operations and Production Management, 11, 72-78.

Moon, Choi, S. (1998). A note on lead-time and distributional assumptions in continuous review inventory review models. Computers and Operations Research, Vol.25, 1007-1012.

Ouyang, L.Y., Chuang, B.R. (1998). A minimax distribution free procedure for periodic review inventory model involving variable lead-time. International Journal of Information and Management Sciences, 9(4), 25-35.

Ouyang, L.Y., Chuang, B.R. (2000). A periodic review inventory model involving variable lead time with a service level constraint. International Journal of Systems Science, 31, 10, 1209-1215.

Ouyang, L.Y., Wu, K.S. (1997). Mixture inventory model involving variable lead-time with a service level constraint. Computers and Operations Research, 24, 875-882.

Ouyang, L.Y., Chuang, B.R., Chang, H.C. (2002). Setup cost and lead time reductions on stochastic inventory models with a service level constraint. Journal of the Operations Research Society of Japan, Vol. 45, No. 2, 113-122.

Pan, C.H. and Hsiao, Y.C. (2001). Inventory models with back-order discounts and variable lead-time. International Journal of Systems Science, 32, 925-929.


Full Text: pdf
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.