Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
권호 표지

Waiting-time Dependent Backordering Rate Under Partial Backlogging and Finite Production Rate

품절 발생시 대기시간에 따른 Backorder 전환 비율에 관한 연구

  • Jung, Ki-Seung (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology) ;
  • Hwang, Hark (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology)
  • 정기승 (한국과학기술원 산업공학과) ;
  • 황학 (한국과학기술원 산업공학과)
  • Published : 2007.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

This study deals with waiting-time dependent backordering rate during stock-out period in the EconomicProduction Quantity (EPQ) model. Assuming that the backordering rate follows an exponentially decreasingfunction of the waiting time, the backorder rate is developed under First-Come-First-Served (FCFS) andLast-Come-First-Served (LCFS) Policy. The mathematical models are developed based on differential equations.Through numerical examples, the validity of the developed models is illustrated.

Keywords

References

  1. Abad, P. J. (1996), Optimal pricing and lot sizing under conditions of perishability and partial backordering, Management Science, 42(8), 1093-1104 https://doi.org/10.1287/mnsc.42.8.1093
  2. Abad, P. J. (2003), Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale, European Journal of Operational Research, 144(3), 677-685 https://doi.org/10.1016/S0377-2217(02)00159-5
  3. Elsayed, E. A. and Teresi, C. (1983), Analysis of inventory system with deteriorating items, International Journal of Production Research, 21(4), 449-460 https://doi.org/10.1080/00207548308942381
  4. Hadley, G. and Whitin, T. (1963), Analysis of Inventory Systems, Prentice-Hall International Inc., Englewood Cliffs, NJ
  5. Chang, H. J. and Dye C. Y. (1999), An EOQ model for deteriorating items with time varying demand and partial backlogging, Journal of the Operational Research Society, 50(11), 1176-1182 https://doi.org/10.1057/palgrave.jors.2600801
  6. Ouyang, L. Y. (2005), An EOQ model for perishable item under time-dependent partial backordering, European Journal of Operational Research, 163(3), 776-783 https://doi.org/10.1016/j.ejor.2003.09.027
  7. Wee, H. M. (1993), Economic production lot size model for deteriorating items with partial back-ordering, Computers and Industrial Engineering, 24(3), 449-458 https://doi.org/10.1016/0360-8352(93)90040-5