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A deterministic lot‐size inventory model with shortages and a linear trend in demand

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  • Upendra Dave

Abstract

A single‐item order‐level lot‐size‐type inventory model is developed for items with a deterministic time‐dependent demand. Shortages are allowed during the fixed finite planning horizon whose initial and final inventory levels are zero. A general inventory model is developed first and then an exact solution for the particular case of the linearly increasing demand rate is derived. An operating schedule for calculating the optimal solution is suggested. A numerical example is also given.

Suggested Citation

  • Upendra Dave, 1989. "A deterministic lot‐size inventory model with shortages and a linear trend in demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 507-514, August.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:4:p:507-514
    DOI: 10.1002/1520-6750(198908)36:43.0.CO;2-N
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    References listed on IDEAS

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    1. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    2. Alan S. Manne, 1958. "Programming of Economic Lot Sizes," Management Science, INFORMS, vol. 4(2), pages 115-135, January.
    3. H. M. Wagner & T. M. Whitin, 1958. "Dynamic problems in the theory of the firm," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 5(1), pages 53-74, March.
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    Cited by:

    1. S. K. Goyal & B. C. Giri, 2000. "Note on “An Optimal Recursive Method for Various Inventory Replenishment Models with Increasing Demand and Shortages” by Teng et al," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 602-606, October.
    2. Hui‐Ling Yang & Jinn‐Tsair Teng & Maw‐Sheng Chern, 2001. "Deterministic inventory lot‐size models under inflation with shortages and deterioration for fluctuating demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(2), pages 144-158, March.
    3. Debasis Das & Arindam Roy & Samarjit Kar, 2015. "A multi-warehouse partial backlogging inventory model for deteriorating items under inflation when a delay in payment is permissible," Annals of Operations Research, Springer, vol. 226(1), pages 133-162, March.

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