DOI QR코드

DOI QR Code

Analysis of Lead Time Distribution with Order Crossover

교차주문을 갖는 리드타임 분포의 분석

  • Kim, Gitae (Department of Industrial Management Engineering, Hanbat National University)
  • 김기태 (한밭대학교 산업경영공학과)
  • Received : 2021.11.26
  • Accepted : 2021.12.09
  • Published : 2021.12.31

Abstract

In supply chain, there are a variety of different uncertainties including demand, service time, lead time, and so forth. The uncertainty of demand has been commonly studied by researchers or practitioners in the field of supply chain. However, the uncertainty of upstream supply chain has also increased. A problem of uncertainty in the upstream supply chain is the fluctuation of the lead time. The stochastic lead time sometimes causes to happen so called the order crossover which is not the same sequences of the order placed and the order arrived. When the order crossover happens, ordinary inventory policies have difficult to find the optimal inventory solutions. In this research, we investigate the lead time distribution in case of the order crossover and explore the resolutions of the inventory solution with the order crossover.

Keywords

References

  1. Chatfield, D. C. and Pritchard, A. M., Crossover aware base stock decisions for service-driven systems, Transportation Research Part E: Logistics and Transportation Review, 2018, Vol. 114, pp. 312-330. https://doi.org/10.1016/j.tre.2017.12.013
  2. Disney, S. M., Maltz, A., Wang, X., and Warburton, R. D., Inventory management for stochastic lead times with order crossovers, European Journal of Operational Research, 2016, Vol. 248, No. 2, pp. 473-486. https://doi.org/10.1016/j.ejor.2015.07.047
  3. Giat Y., The Window Fill Rate in a Multiple Location Inventory System with Periodic Review and Order Crossover, International Journal of Industrial Engineering and Operations Management (IJIEOM), 2020, Vol. 2, No. 1, pp. 14-23 https://doi.org/10.46254/j.ieom.20200102
  4. Hayya, J. C., Bagchi, U., Kim, J. G., and Sun, D., On Static Stochastic Order Crossover, International Journal of Production Economics, 2008, Vol. 114, No. 1, pp. 404-413. https://doi.org/10.1016/j.ijpe.2008.03.007
  5. Hayya, J. C., Bagchi, U., and Ramasesh, R., Cost relationships in stochastic inventory systems: A simulation study of the (S, S-1, t=1) model, International Journal of Production Economics, 2011, Vol 130, No. 2, pp. 196-202. https://doi.org/10.1016/j.ijpe.2010.12.012
  6. Jack, C., Hayya, J. C., Harrison, T. P., and He, X. J. The impact of stochastic lead time reduction on inventory cost under order crossover, European Journal of Operational Research, 2011, Vol. 211, pp. 274-281. https://doi.org/10.1016/j.ejor.2010.11.025
  7. Robinson, L. W., Bradley, J. R., Thomas, L. J., Consequences of Order Crossover Under Order-Up-To Inventory Policies, Manufacturing & Service Operations Management, 2001, Vol. 3, No. 3, pp. 175-271. https://doi.org/10.1287/msom.3.3.175.9887
  8. Wang, X. and Disney, S. M., Mitigating variance amplification under stochastic lead-time: The proportional control approach, European Journal of Operational Research, 2017, Vol. 256, pp. 151-162 https://doi.org/10.1016/j.ejor.2016.06.010
  9. Yang, C. C. and Lin, D. K., Stochastic lead time with order crossover, Quality Technology & Quantitative Management, 2018, pp. 575-587.
  10. Zalkind, D., Order-level inventory systems with independent stochastic lead times, Management Science, 1978, Vol. 24, No. 13, pp. 1384-1392. https://doi.org/10.1287/mnsc.24.13.1384