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Inspection policy for inventory system with deteriorating products

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

Abstract

Typical inventory models usually focus on screening out the deteriorating items, not much attention is paid to the situation that a proportion of deteriorated items are sold to consumers together with serviceable items during a replenishment cycle. This paper first presents a model to formulate the process of such kind of mixed sales. A simple closed-form solution is obtained for maximizing the net profit per unit time under the assumption of small deterioration rate. The effect of shortage back-ordering is then considered and closed-form solutions of optimal ordering quantity and replenishment time are obtained under similar assumption. We further study the effect of inspection policies on optimal decisions for a deteriorating inventory system. A dynamic programming approach is proposed for solving the optimal policy. Numerical examples are then provided to demonstrate our conclusions and results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:173:y:2016:i:c:p:22-29
    DOI: 10.1016/j.ijpe.2015.11.018
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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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    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. Huang, Yeu-Shiang & Su, Wei-Jun & Lin, Zu-Liang, 2011. "A study on lead-time discount coordination for deteriorating products," European Journal of Operational Research, Elsevier, vol. 215(2), pages 358-366, December.
    9. 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.
    10. 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.
    11. 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.
    12. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.
    13. Shah, Nita H & Soni, Hardik N & Patel, Kamlesh A, 2013. "Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates," Omega, Elsevier, vol. 41(2), pages 421-430.
    14. Skouri, K. & Konstantaras, I. & Papachristos, S. & Ganas, I., 2009. "Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate," European Journal of Operational Research, Elsevier, vol. 192(1), pages 79-92, January.
    15. 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.
    16. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Goyal, Suresh Kumar & Yang, Chih-Te, 2009. "An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity," European Journal of Operational Research, Elsevier, vol. 194(2), pages 418-431, April.
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    1. Yue Xie & Allen H. Tai & Wai-Ki Ching & Yong-Hong Kuo & Na Song, 2021. "Joint inspection and inventory control for deteriorating items with time-dependent demand and deteriorating rate," Annals of Operations Research, Springer, vol. 300(1), pages 225-265, May.
    2. Lin, Feng & Jia, Tao & Wu, Feng & Yang, Zhen, 2019. "Impacts of two-stage deterioration on an integrated inventory model under trade credit and variable capacity utilization," European Journal of Operational Research, Elsevier, vol. 272(1), pages 219-234.
    3. 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.
    4. Sadia Samar Ali & Haripriya Barman & Rajbir Kaur & Hana Tomaskova & Sankar Kumar Roy, 2021. "Multi-Product Multi Echelon Measurements of Perishable Supply Chain: Fuzzy Non-Linear Programming Approach," Mathematics, MDPI, vol. 9(17), pages 1-27, August.
    5. 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.
    6. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.

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