DOI QR코드

DOI QR Code

Inventory Models for Fresh Agriculture Products with Time-Varying Deterioration Rate

  • Ning, Yufu ;
  • Rong, Lixia ;
  • Liu, Jianjun
  • Received : 2012.08.09
  • Accepted : 2013.03.05
  • Published : 2013.03.31

Abstract

This paper presents inventory models for fresh agriculture products with time-varying deterioration rate. Due to the particularity of fresh agriculture products, the demand rate is a function that depends on sale price and freshness. The deterioration rate increases with time and is assumed to be a time-varying function. In the models, the inventory cycle may be constant or variable. The optimal solutions of models are discussed for different freshness and the deterioration rate. The results of experiments show that the profit depends on the freshness and deterioration rate of products. With the increasing inventory cycle, the sale price and profit increase at first and then start decreasing. Furthermore, when the inventory cycle is variable, the total profit is a binary function of the sale price and inventory cycle. There exist unique sale price and inventory cycle such that the profit is optimal. The results also show that the optimal sale price and inventory cycle depend on the freshness and the deterioration rate of fresh agriculture products.

Keywords

Inventory Model;Demand Rate;Time-Varying;Deterioration Rate;Fresh Agriculture Products

References

  1. Balkhi, Z. T. and Benkherouf, L. (1996), A production lot size inventory model for deteriorating items and arbitrary production and demand rates, European Journal of Operational Research, 92(2), 302-309. https://doi.org/10.1016/0377-2217(95)00148-4
  2. Chen, J. and Dan, B. (2009), Fresh agricultural product supply chain coordination under the physical losscontrol, Systems Engineering - Theory and Practice, 29, 54-62.
  3. Chung, K. J. and Lin, C. N. (2001), Optimal inventory replenishment models for deteriorating items taking account of time discounting, Computers and Operations Research, 28(1), 67-83. https://doi.org/10.1016/S0305-0548(99)00087-8
  4. Donaldson, W. A. (1977), Inventory replenishment policy for a linear trend in demand: an analytic solution, Operational Research Quarterly, 28(3), 663-670. https://doi.org/10.1057/jors.1977.142
  5. Duan, Y. R., Li, G. P., Tien, J. M., and Huo, J. Z. (2012), Inventory models for perishable items with inventory level dependent demand rate, Applied Mathematical Modelling, 36(10), 5015-5028. https://doi.org/10.1016/j.apm.2011.12.039
  6. Dye, C. Y. (2012), A finite horizon deteriorating inventory model with two-phase pricing and time-varying demand and cost under trade credit financing using particle swarm optimization, Swarm and Evolutionary Computation, 5, 37-53 https://doi.org/10.1016/j.swevo.2012.03.002
  7. Ghare, P. M. and Schrader, G. F. (1963), A model for exponentially decaying inventories, Journal of Industrial Engineering, 14(5), 238-243.
  8. Gumasta, K., Chan, F. T., and Tiwari, M. K. (2012), An incorporated inventory transport system with two types of customers for multiple perishable goods, International Journal Production Economics, 139 (2), 678-686. https://doi.org/10.1016/j.ijpe.2012.06.020
  9. He, Y., Wang, S. Y., and Lai, K. K. (2010), An optimal production-inventory model for deteriorating items with multiple-market demand, European Journal of Operational Research, 203(3), 593-600. https://doi.org/10.1016/j.ejor.2009.09.003
  10. Lee, Y. P. and Dye, C. Y. (2012), An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate, Computers and Industrial Engineering, 63(2), 474-482. https://doi.org/10.1016/j.cie.2012.04.006
  11. Lodree, E. J. and Uzochukwu, B. M. (2008), Production planning for a deteriorating rate with stochastic demand and consumer choice, Intermational Journal of Production Economics, 116(2), 219-232. https://doi.org/10.1016/j.ijpe.2008.09.010
  12. Pal, A. K., Bhunia, A. K., and Mukherjee, R. N. (2006), Optimal lot size model for deteriorating items with demand rate dependent on displayed stock level (DSL) and partial backordering, European Journal of Operational Reasearch, 175(2), 977-991. https://doi.org/10.1016/j.ejor.2005.05.022
  13. Resh, M., Friedman, M., and Barbosa, L. C. (1976), On a general solution of the deterministic lot size problem with time-proportional demand, Operational Research, 24(4), 718-725. https://doi.org/10.1287/opre.24.4.718
  14. Sarkar, B. (2012), An EOQ model with delay in payments and time-varying deterioration rate, Mathematical and Computer Modelling, 55(3/4), 367-377. https://doi.org/10.1016/j.mcm.2011.08.009
  15. Alamri, A. A. (2011), Theory and methodology on the global optimal solution to a General Reverse Logistics Inventory Model for deteriorating items and time-varying rates, Computers and Industrial Engineering, 60(2), 236-247. https://doi.org/10.1016/j.cie.2010.11.005
  16. Sarkar, B. and Sarkar, S. (2013a), Variable deterioration and demand: an inventory model, Economic Modelling, 31, 548-556. https://doi.org/10.1016/j.econmod.2012.11.045
  17. Sarkar, B. and Sarkar, S. (2013b), An improved inventory model with partial backlogging, time-varying deterioration and stock-dependent demand, Economic Modelling, 30, 924-932. https://doi.org/10.1016/j.econmod.2012.09.049
  18. Sarkar, B., Saren, S., and Wee, H. M. (2013), An inventory model with variable demand, component cost and selling price for deteriorating items, Economic Modelling, 30, 306-310. https://doi.org/10.1016/j.econmod.2012.09.002
  19. Wang, S. P. (2002), An inventory replenishment policy for deteriorating items with shortages and partial backlogging, Computers and Operations Research, 29(14), 2043-2051. https://doi.org/10.1016/S0305-0548(01)00072-7
  20. Wu, K. S., Ouyang, L. Y., and Yang, C. T. (2006), An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging, International Journal Production Economics, 101(2), 369-384. https://doi.org/10.1016/j.ijpe.2005.01.010

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