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Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon

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  • M. Palanivel

    (Deemed University)

  • R. Uthayakumar

    (Deemed University)

Abstract

This paper deals with an inventory model for single non – instantaneous deteriorating items with two separate warehouses (one is Owned Warehouse and other is Rented Warehouse) having different preserving facilities. After some fixed period of time, inventory deteriorates in the two warehouses at different constant rates. Demand is assumed to be known and constant. In view of that the effect of inflation and time value of money over a finite planning horizon are employed in this study for optimizing the replenishment lot-size and the time interval simultaneously with the objective of minimizing total cost of the inventory system. Shortages are allowed and partially backlogged with a rate dependent on the duration of waiting time up to the arrival of next lot. The necessary and sufficient conditions for an optimal solution are characterized. In addition, an efficient algorithm is developed to determine the optimal policy, and the computational effort and time are small for the proposed algorithm. It is simple to implement, and our approach is illustrated through some numerical examples to demonstrate the application and the performance of the proposed methodology. Also, the effect of changes in the different parameters on the optimal total cost is graphically presented and the implications are discussed in detail.

Suggested Citation

  • M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    • Handle: RePEc:spr:opsear:v:53:y:2016:i:2:d:10.1007_s12597-015-0235-4
    DOI: 10.1007/s12597-015-0235-4
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    1. Taleizadeh, Ata Allah & Pentico, David W., 2013. "An economic order quantity model with a known price increase and partial backordering," European Journal of Operational Research, Elsevier, vol. 228(3), pages 516-525.
    2. Ray, J. & Chaudhuri, K. S., 1997. "An EOQ model with stock-dependent demand, shortage, inflation and time discounting," International Journal of Production Economics, Elsevier, vol. 53(2), pages 171-180, November.
    3. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    4. Chang, Chun-Tao & Teng, Jinn-Tsair & Goyal, Suresh Kumar, 2010. "Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 123(1), pages 62-68, January.
    5. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    6. Ouyang, Liang-Yuh & Chang, Chun-Tao, 2013. "Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging," International Journal of Production Economics, Elsevier, vol. 144(2), pages 610-617.
    7. Talal M. Al-Khamis & Lakdere Benkherouf & Mohamed Omar, 2014. "Optimal policies for a finite-horizon batching inventory model," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 2196-2202, October.
    8. Hariga, Moncer A., 1995. "Effects of inflation and time-value of money on an inventory model with time-dependent demand rate and shortages," European Journal of Operational Research, Elsevier, vol. 81(3), pages 512-520, March.
    9. Yang Tan & Michael Weng, 2013. "A discrete-in-time deteriorating inventory model with time-varying demand, variable deterioration rate and waiting-time-dependent partial backlogging," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(8), pages 1483-1493.
    10. Yang, Hui-Ling, 2004. "Two-warehouse inventory models for deteriorating items with shortages under inflation," European Journal of Operational Research, Elsevier, vol. 157(2), pages 344-356, September.
    11. Yang, Hui-Ling, 2006. "Two-warehouse partial backlogging inventory models for deteriorating items under inflation," International Journal of Production Economics, Elsevier, vol. 103(1), pages 362-370, September.
    12. Roya Tat & Ata Allah Taleizadeh & Maryam Esmaeili, 2015. "Developing economic order quantity model for non-instantaneous deteriorating items in vendor-managed inventory (VMI) system," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1257-1268, May.
    13. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    14. Gilding, Brian H., 2014. "Inflation and the optimal inventory replenishment schedule within a finite planning horizon," European Journal of Operational Research, Elsevier, vol. 234(3), pages 683-693.
    15. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2015. "A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness," Economic Modelling, Elsevier, vol. 46(C), pages 334-345.
    16. Lee, Chun Chen & Hsu, Shu-Lu, 2009. "A two-warehouse production model for deteriorating inventory items with time-dependent demands," European Journal of Operational Research, Elsevier, vol. 194(3), pages 700-710, May.
    17. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    18. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    19. Neeraj Kumar & S.R. Singh, 2014. "Effect of salvage value on a two-warehouse inventory model for deteriorating items with stock-dependent demand rate and partial backlogging," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 19(4), pages 479-496.
    20. Yang, Hui-Ling, 2012. "Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 138(1), pages 107-116.
    21. Sarkar, Biswajit & Sarkar, Sumon, 2013. "An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand," Economic Modelling, Elsevier, vol. 30(C), pages 924-932.
    22. Taleizadeh, Ata Allah & Pentico, David W. & Saeed Jabalameli, Mohammad & Aryanezhad, Mirbahador, 2013. "An EOQ model with partial delayed payment and partial backordering," Omega, Elsevier, vol. 41(2), pages 354-368.
    23. Pakkala, T. P. M. & Achary, K. K., 1992. "A deterministic inventory model for deteriorating items with two warehouses and finite replenishment rate," European Journal of Operational Research, Elsevier, vol. 57(1), pages 71-76, February.
    24. Sarker, Bhaba R. & Pan, Haixu, 1994. "Effects of inflation and the time value of money on order quantity and allowable shortage," International Journal of Production Economics, Elsevier, vol. 34(1), pages 65-72, February.
    25. Monami Roy & Shib Sana & Kripasindhu Chaudhuri, 2011. "An economic order quantity model of imperfect quality items with partial backlogging," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1409-1419.
    26. Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    27. Hsieh, Tsu-Pang & Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2008. "Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value," European Journal of Operational Research, Elsevier, vol. 191(1), pages 182-192, November.
    28. Hui-Ling Yang, 2011. "A partial backlogging production-inventory lot-size model for deteriorating items with time-varying production and demand rate over a finite time horizon," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1397-1407.
    29. Dye, Chung-Yuan & Ouyang, Liang-Yuh & Hsieh, Tsu-Pang, 2007. "Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate," European Journal of Operational Research, Elsevier, vol. 178(3), pages 789-807, May.
    30. Benkherouf, Lakdere, 1997. "A deterministic order level inventory model for deteriorating items with two storage facilities," International Journal of Production Economics, Elsevier, vol. 48(2), pages 167-175, January.
    31. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
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