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Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution

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Abstract

With the prevalence of network technologies, the world is shrinking and it is observed that the decision policies of the players of the supply chain go hand in hand. Thus the optimal replenishment decisions of retailers cannot be taken in isolation and need to be integrated with that of the supplier. This research work establishes a supplier-retailer supply chain in which demand for the products is displayed stock dependent. Nowadays, trade credit is also seen as prime source of short term financing, thus the retailer takes the benefit of permissible delay in payments from the supplier. The objective of the proposed model is to obtain the optimal decisions of the supply chain under three different policies- centralized, Supplier-led Stackelberg policy and Nash equilibrium solution. In this study, the influence of trade credit offered by the supplier, replenishment decisions and integration among the players of supply chain through different centralized and decentralized policies is analyzed for deteriorating items where retailer faces displayed stock dependent demand with two storage facilities. The model is best suitable for the emerging retail markets or supermarkets with limited shelf space displaying consumable items such as grocery, consumer goods, etc. The results have been validated with the help of a numerical example. Sensitivity analysis has also been performed to study the effect of various parameters on the optimal solution.

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Authors and Affiliations

  1. Department of Operational Research, Faculty of Mathematical Sciences, New Academic Block, University of Delhi, New Delhi, Delhi, 110007, India

    Chandra K. Jaggi, Mamta Gupta & Sunil Tiwari

  2. Department of Management Studies, Shaheed Sukhdev College of Business Studies, University of Delhi, Vivek Vihar, New Delhi, Delhi, 110095, India

    Amrina Kausar

  3. The Logistics Institute - Asia Pacific, National University of Singapore, 21 Heng Mui Keng Terrace, Singapore, 119613, Singapore

    Sunil Tiwari

Authors
  1. Chandra K. Jaggi
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  2. Mamta Gupta
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  3. Amrina Kausar
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  4. Sunil Tiwari
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Correspondence to Sunil Tiwari.

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Jaggi, C.K., Gupta, M., Kausar, A. et al. Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution. Ann Oper Res 274, 309–329 (2019). https://doi.org/10.1007/s10479-018-2925-9

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  • DOI: https://doi.org/10.1007/s10479-018-2925-9

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