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An innovative partial backlog supply model that incorporates time-sensitive degradation, influenced by the time-linear cost of holding, and selling price-dependent split demand

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  • T. Vanjikkodi
  • V. Pankajam

Abstract

An innovative inventory model involving price-dependent split demand is developed in this article. The objective is to maximise the total revenue from an inventory system which operates on a split demand, time-linked deterioration, linearly varying holding cost, time-dependent shortage, and partial backlogging. This model is a comprehensive tool to enhance inventory management practices and optimise profitability, employing a computational algorithm supported by proven results to achieve maximal profit. This holistic approach to decision-making in inventory management is illustrated through a numerical example and sensitivity analysis, demonstrating how system limits influence optimisation outcomes and assess concavity. The sensitivity analysis explores parameter variations affecting economic order quantity (EOQ), ideal ordering time, overall profit, etc., with MATLAB facilitating graphical visualisation of model parameter relationships.

Suggested Citation

  • T. Vanjikkodi & V. Pankajam, 2026. "An innovative partial backlog supply model that incorporates time-sensitive degradation, influenced by the time-linear cost of holding, and selling price-dependent split demand," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 57(2), pages 231-252.
    • Handle: RePEc:ids:ijores:v:57:y:2026:i:2:p:231-252
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