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Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

Author

Listed:
  • Skouri, K.
  • Konstantaras, I.
  • Papachristos, S.
  • Ganas, I.

Abstract

In this paper, an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand is considered. The model is studied under the following different replenishment policies: (a) starting with no shortages and (b) starting with shortages. The model is fairly general as the demand rate, up to the time point of its stabilization, is a general function of time. The backlogging rate is any non-increasing function of the waiting time up to the next replenishment. The optimal replenishment policy for the model is derived for both the above mentioned policies.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:79-92
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    References listed on IDEAS

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    1. San José, L.A. & Sicilia, J. & Garcia-Laguna, J., 2006. "Analysis of an inventory system with exponential partial backordering," International Journal of Production Economics, Elsevier, vol. 100(1), pages 76-86, March.
    2. Deng, Peter Shaohua & Lin, Robert H.-J. & Chu, Peter, 2007. "A note on the inventory models for deteriorating items with ramp type demand rate," European Journal of Operational Research, Elsevier, vol. 178(1), pages 112-120, April.
    3. Goyal, S.K., 1987. "Economic ordering policy for deteriorating items over an infinite time horizon," European Journal of Operational Research, Elsevier, vol. 28(3), pages 298-301, March.
    4. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Hauck, Zsuzsanna & Vörös, József, 2015. "Lot sizing in case of defective items with investments to increase the speed of quality control," Omega, Elsevier, vol. 52(C), pages 180-189.
    4. Wang, Kung-Jeng & Lin, Y.S. & Yu, Jonas C.P., 2011. "Optimizing inventory policy for products with time-sensitive deteriorating rates in a multi-echelon supply chain," International Journal of Production Economics, Elsevier, vol. 130(1), pages 66-76, March.
    5. Narayan Singh & Bindu Vaish & Shiv Ray Singh, 2014. "A collaborative strategy for a three echelon supply chain with ramp type demand, deterioration and inflation," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 3, pages 77-100.
    6. 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.
    7. 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.
    8. 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.
    9. repec:spr:annopr:v:243:y:2016:i:1:d:10.1007_s10479-014-1759-3 is not listed on IDEAS
    10. 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.
    11. repec:eee:transe:v:107:y:2017:i:c:p:141-177 is not listed on IDEAS
    12. Teng, Jinn-Tsair & Min, Jie & Pan, Qinhua, 2012. "Economic order quantity model with trade credit financing for non-decreasing demand," Omega, Elsevier, vol. 40(3), pages 328-335.
    13. 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.
    14. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2014. "An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment," International Journal of Production Economics, Elsevier, vol. 156(C), pages 159-166.
    15. 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.
    16. 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.
    17. 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.
    18. Fernández, Arturo J. & Pérez-González, Carlos J. & Aslam, Muhammad & Jun, Chi-Hyuck, 2011. "Design of progressively censored group sampling plans for Weibull distributions: An optimization problem," European Journal of Operational Research, Elsevier, vol. 211(3), pages 525-532, June.
    19. repec:eee:proeco:v:193:y:2017:i:c:p:343-351 is not listed on IDEAS
    20. Sarkar, Biswajit & Sarkar, Sumon, 2013. "Variable deterioration and demand—An inventory model," Economic Modelling, Elsevier, vol. 31(C), pages 548-556.
    21. Manish Shukla & Sanjay Jharkharia, 2014. "An inventory model for continuously deteriorating agri-fresh produce: an artificial immune system-based solution approach," International Journal of Integrated Supply Management, Inderscience Enterprises Ltd, vol. 9(1/2), pages 110-135.
    22. Lin, Shih-Wei, 2011. "Inventory models with managerial policy independent of demand," European Journal of Operational Research, Elsevier, vol. 211(3), pages 520-524, June.
    23. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.

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