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An integrated inventory model with delay in payment for deteriorating item under Weibull distribution and advertisement cum price-dependent demand

Author

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  • Bibhas Chandra Das
  • Barun Das
  • Shyamal Kumar Mondal

Abstract

This paper develops an integrated inventory model of supplier and retailer with permissible delay in payment in which customers' demand is sensitive to the advertisement and selling price of the item. The model considers the finite supply rate of the item by supplier to retailer. The supplier offers a credit period to retailer and this credit period and supply rate are related to each other. The item deteriorates in Weibull-distribution rate. The profit maximisation of this integrated model is considered in this paper. The model is considered for different cases. Some numerical examples and sensitivity analysis on some parameters are provided to illustrate the proposed model.

Suggested Citation

  • Bibhas Chandra Das & Barun Das & Shyamal Kumar Mondal, 2014. "An integrated inventory model with delay in payment for deteriorating item under Weibull distribution and advertisement cum price-dependent demand," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 20(3), pages 341-368.
    • Handle: RePEc:ids:ijores:v:20:y:2014:i:3:p:341-368
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    Citations

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    Cited by:

    1. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    2. Jia-Liang Pan & Chui-Yu Chiu & Kun-Shan Wu & Chih-Te Yang & Yen-Wen Wang, 2021. "Optimal Pricing, Advertising, Production, Inventory and Investing Policies in a Multi-Stage Sustainable Supply Chain," Energies, MDPI, vol. 14(22), pages 1-20, November.
    3. Ajoy Hatibaruah & Sumit Saha, 2023. "An inventory model for two-parameter Weibull distributed ameliorating and deteriorating items with stock and advertisement frequency dependent demand under trade credit and preservation technology," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 951-1002, June.

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