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An Eoq Model With Generalized Ramp-Type Demand And Weibull Distribution Deterioration

Author

Listed:
  • S. PANDA

    (Department of Mathematics, Bengal Institute of Technology, 1, No. Govt. Colony, Kolkata-700150, West Bengal, India)

  • S. SAHA

    (Department of Mathematics, University of Kalyani, Kalyani-741235, West Bengal, India)

  • M. BASU

    (Department of Mathematics, University of Kalyani, Kalyani-741235, West Bengal, India)

Abstract

An inventory model is discussed with generalized ramp-type demand where the time to deterioration follows Weibull distribution. Shortages of inventories are allowed and completely backlogged. Total cost is derived by trading off setup cost, holding cost, deterioration cost, and shortage cost. The optimal replenishment policy for a single period is derived by minimizing the total cost per unit time over infinite time horizon. A numerical example is presented and sensitivity analysis is also carried out. The rationale for generalized ramp-type demand is discussed.

Suggested Citation

  • S. Panda & S. Saha & M. Basu, 2007. "An Eoq Model With Generalized Ramp-Type Demand And Weibull Distribution Deterioration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 93-109.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:01:n:s0217595907001152
    DOI: 10.1142/S0217595907001152
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    Citations

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    Cited by:

    1. S. Panda & S. Saha & M. Basu, 2009. "Optimal production stopping time for perishable products with ramp-type quadratic demand dependent production and setup cost," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(4), pages 381-396, December.
    2. 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.
    3. Sudip Adak & G. S. Mahapatra, 2022. "Effect of reliability on multi-item inventory system with shortages and partial backlog incorporating time dependent demand and deterioration," Annals of Operations Research, Springer, vol. 315(2), pages 1551-1571, August.
    4. Jagadeesan Viswanath & Rajamanickam Thilagavathi & Krishnasamy Karthik & Miroslav Mahdal, 2023. "A Study of a Two Storage Single Product Inventory System with Ramp Type Demand, N-Phase Prepayment and Purchase for Exigency," Mathematics, MDPI, vol. 11(7), pages 1-17, April.
    5. Saha, Subrata & Sarkar, Biswajit & Sarkar, Mitali, 2023. "Application of improved meta-heuristic algorithms for green preservation technology management to optimize dynamical investments and replenishment strategies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 426-450.

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