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Joint inspection and inventory control for deteriorating items with random maximum lifetime

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  • Tai, Allen H.
  • Xie, Yue
  • He, Wanhua
  • Ching, Wai-Ki

Abstract

In this paper, we consider inventory control problems for deteriorating items. Six practical models are developed for an inventory system with deterioration rate depending on the maximum lifetime of items. Due to the physical nature of items, the maximum lifetime of items is assumed to be random over a time period. Items exceeding the maximum lifetime are regarded as scarp and no longer serviceable. Two replenishment policies: (i) quantity-based policy and (ii) time-based policy, and two inspection scenarios: (i) one inspection and (ii) continuous monitoring have been discussed in these models. Examples and sensitivity analysis are given for each model. The results indicate that it may be beneficial for the inventory holder to adopt the quantity-based policy and drop the plan of continuous monitoring if the cost of continuous monitoring is too high. Otherwise, performing continuous monitoring is able to increase the optimal long-run average profit. These results provide useful insights for inventory holder in making managerial decisions.

Suggested Citation

  • Tai, Allen H. & Xie, Yue & He, Wanhua & Ching, Wai-Ki, 2019. "Joint inspection and inventory control for deteriorating items with random maximum lifetime," International Journal of Production Economics, Elsevier, vol. 207(C), pages 144-162.
    • Handle: RePEc:eee:proeco:v:207:y:2019:i:c:p:144-162
    DOI: 10.1016/j.ijpe.2018.03.020
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    References listed on IDEAS

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    1. Hung, Kuo-Chen, 2011. "An inventory model with generalized type demand, deterioration and backorder rates," European Journal of Operational Research, Elsevier, vol. 208(3), pages 239-242, February.
    2. Khan, M. & Jaber, M.Y. & Wahab, M.I.M., 2010. "Economic order quantity model for items with imperfect quality with learning in inspection," International Journal of Production Economics, Elsevier, vol. 124(1), pages 87-96, March.
    3. Lin, Gary C. & Kroll, Dennis E. & Lin, C.J., 2006. "Determining a common production cycle time for an economic lot scheduling problem with deteriorating items," European Journal of Operational Research, Elsevier, vol. 173(2), pages 669-682, September.
    4. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    5. 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.
    6. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    7. 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.
    8. Ghiami, Yousef & Williams, Terry, 2015. "A two-echelon production-inventory model for deteriorating items with multiple buyers," International Journal of Production Economics, Elsevier, vol. 159(C), pages 233-240.
    9. Wu, Jiang & Chan, Ya-Lan, 2014. "Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers," International Journal of Production Economics, Elsevier, vol. 155(C), pages 292-301.
    10. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    11. Widyadana, Gede Agus & Wee, Hui Ming, 2012. "An economic production quantity model for deteriorating items with multiple production setups and rework," International Journal of Production Economics, Elsevier, vol. 138(1), pages 62-67.
    12. 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.
    13. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    14. Nita H. Shah & Dushyantkumar G. Patel & Digeshkumar B. Shah, 2014. "Optimal Policies for Deteriorating Items with Maximum Lifetime and Two-Level Trade Credits," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-5, April.
    15. Tai, Allen H. & Xie, Yue & Ching, Wai-Ki, 2016. "Inspection policy for inventory system with deteriorating products," International Journal of Production Economics, Elsevier, vol. 173(C), pages 22-29.
    16. Dye, Chung-Yuan & Yang, Chih-Te & Kung, Fang-Cheng, 2014. "A note on “Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime”," European Journal of Operational Research, Elsevier, vol. 239(3), pages 868-871.
    17. Chen, Sheng-Chih & Teng, Jinn-Tsair, 2015. "Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis," European Journal of Operational Research, Elsevier, vol. 243(2), pages 566-575.
    18. Widodo, K.H. & Nagasawa, H. & Morizawa, K. & Ota, M., 2006. "A periodical flowering-harvesting model for delivering agricultural fresh products," European Journal of Operational Research, Elsevier, vol. 170(1), pages 24-43, April.
    19. Chung, Chun-Jen & Wee, Hui-Ming, 2011. "Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 195-203, January.
    20. 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.
    21. Wu, Jiang & Al-khateeb, Faisal B. & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 105-115.
    22. Lodree Jr., Emmett J. & Uzochukwu, Benedict M., 2008. "Production planning for a deteriorating item with stochastic demand and consumer choice," International Journal of Production Economics, Elsevier, vol. 116(2), pages 219-232, December.
    23. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
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    Cited by:

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    2. Iqbal, Muhammad Waqas & Malik, Asif Iqbal & Ramzan, Muhammad Babar, 2024. "Waste consumption of bio-degradable products through a secondary supply chain," Socio-Economic Planning Sciences, Elsevier, vol. 94(C).
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    5. Santosh Shekhawat & Nazek Alessa & Himanshu Rathore & Kalpna Sharma, 2022. "A Green Approach—Cost Optimization for a Manufacturing Supply Chain with MFIFO Warehouse Dispatching Policy and Inspection Policy," Sustainability, MDPI, vol. 14(21), pages 1-17, November.

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