Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration

Pervin M., Roy S. K., Weber G.

ANNALS OF OPERATIONS RESEARCH, vol.260, pp.437-460, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 260
  • Publication Date: 2018
  • Doi Number: 10.1007/s10479-016-2355-5
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.437-460
  • Keywords: Inventory, Stochastic deterioration, Shortage, Time-dependent demand, Time-varying holding cost, Optimization, 2-LEVEL TRADE CREDIT, EOQ MODEL, REPLENISHMENT POLICY, PERMISSIBLE DELAY, CUSTOMER RETURNS, LINEAR TREND, INFLATION, PAYMENTS
  • Middle East Technical University Affiliated: No


In this paper, a deterministic inventory control model with deterioration is developed. Here, the deterioration rate follows stochastic deterioration, especially Weibull distribution deterioration. A time-dependent demand approach is introduced to show the applicability of our proposed model and to be up-to-date with respect to time. The main purpose of the paper is to investigate the optimal retailer's replenishment decisions for deteriorating items including time-dependent demand for demonstrating more practical circumstances within economic-order quantity frameworks. Keeping in mind the criterion of modern era, we consider that the holding cost is totally dependent on time, and shortages are allowed for this model. Subject to the formulated model, we minimize the total inventory cost. The mathematical model is explored by numerical examples to validate the proposed model. A sensitivity analysis of the optimal solution with regard to important parameters is also carried out to elaborate the quality, e.g., stability, of our result and to possibly modify our model. The paper ends with a conclusion and an outlook to future studies.