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A partial backlogging production-inventory lot-size model for deteriorating items with time-varying production and demand rate over a finite time horizon

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  • Hui-Ling Yang

Abstract

In this article, I extend Balkhi ((2001), ‘On a Finite Horizon Production Lot Size Inventory Model for Deteriorating Items: An Optimal Solution’, European Journal of Operational Research, 132, 210–223), by considering a generalised mathematical production-inventory model for deteriorating items with partial backlogging. The demand, production and backlogging rates are assumed to be continuous and varying with time. The objective is to find the optimal production restarting and stopping time to keep the total relevant cost as low as possible. To ascertain the optimal solution exists, the conditions for the total relevant cost in the system which attains its global minimum are provided. In addition, based on the minimum total relevant cost, an alternative among the proposed four cases is also suggested. Finally, a numerical example and sensitivity analysis is illustrated and some management insights are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1397-1407
    DOI: 10.1080/00207720903576464
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    Cited by:

    1. 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.
    2. 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.
    3. Yiyong Xiao & Meng You & Xiaorong Zuo & Shenghan Zhou & Xing Pan, 2018. "The Uncapacitatied Dynamic Single-Level Lot-Sizing Problem under a Time-Varying Environment and an Exact Solution Approach," Sustainability, MDPI, vol. 10(11), pages 1-14, October.
    4. 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.
    5. Dipak Barman & Gour Chandra Mahata, 2024. "A periodic review inventory system when received items are of imperfect quality under two supply mode," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1582-1617, September.
    6. M. Palanivel & R. Uthayakumar, 2015. "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1762-1773, July.

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