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A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time

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  • Rong, M.
  • Mahapatra, N.K.
  • Maiti, M.

Abstract

An optimization inventory policy for a deteriorating item with imprecise lead-time, partially/fully backlogged shortages and price dependent demand is developed under two-warehouse system. For display and storage, the retailer hires one warehouse of finite capacity at market place, treated as own warehouse (OW) and another warehouse of large capacity as it may be required at a distance place from the market, treated as rented warehouse (RW). Holding cost at RW decreases with the increase of distance from the market place. Units are transferred from RW to OW in bulk release pattern and sold from OW. Using the nearest interval approximation method the estimated fuzzy average profit function is defuzzified and transformed to multiple crisp objective functions which are solved by Global Criteria Method. The models are illustrated numerically. Sensitivity of the inventory costs on the location of RW has been depicted graphically. Also loss in profit due to deteriorations for both models have been presented.

Suggested Citation

  • Rong, M. & Mahapatra, N.K. & Maiti, M., 2008. "A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time," European Journal of Operational Research, Elsevier, vol. 189(1), pages 59-75, August.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:1:p:59-75
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    1. Bhunia, A.K. & Shaikh, Ali Akbar, 2015. "An application of PSO in a two-warehouse inventory model for deteriorating item under permissible delay in payment with different inventory policies," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 831-850.
    2. Asoke Kumar Bhunia & Ali Akbar Shaikh, 2016. "Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(2), pages 160-179, March.
    3. He, Yong & Wang, Shou-Yang & Lai, K.K., 2010. "An optimal production-inventory model for deteriorating items with multiple-market demand," European Journal of Operational Research, Elsevier, vol. 203(3), pages 593-600, June.
    4. 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.
    5. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    6. Gudivada Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System," Energies, MDPI, vol. 15(23), pages 1-34, November.
    7. A.K. Bhunia & A.A. Shaikh & R.K. Gupta, 2015. "A study on two-warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1036-1050, April.
    8. Wutthisirisart, Phichet & Sir, Mustafa Y. & Noble, James S., 2015. "The two-warehouse material location selection problem," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 780-789.
    9. 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.
    10. Yu, Jonas C.P., 2019. "Optimizing a two-warehouse system under shortage backordering, trade credit, and decreasing rental conditions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 147-155.
    11. Majumder, P. & Bera, U.K. & Maiti, M., 2016. "An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 430-458.
    12. Panda, S. & Saha, S. & Goyal, S.K., 2013. "Dilemma of rented warehouse and shelf for inventory systems with displayed stock level dependent demand," Economic Modelling, Elsevier, vol. 32(C), pages 452-462.
    13. Dipak Kumar Jana & Barun Das, 2017. "A two-storage multi-item inventory model with hybrid number and nested price discount via hybrid heuristic algorithm," Annals of Operations Research, Springer, vol. 248(1), pages 281-304, January.
    14. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.

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