A production-inventory model with probabilistic deterioration in two-echelon supply chain management

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In this study, a production-inventory model is developed for a deteriorating item in a two-echelon supply chain management (SCM). An algebraical approach is applied to find the minimum cost related to this entire SCM. We consider three types of continuous probabilistic deterioration function to find the associated cost. The purpose of this study is to obtain the minimum cost with integer number of deliveries and optimum lotsize for the three different models. Some numerical examples, sensitivity analysis and graphical representation are given to illustrate the model. A numerical comparison between the three models is also given.

Original languageEnglish
Pages (from-to)3138-3151
Number of pages14
JournalApplied Mathematical Modelling
Issue number5
Publication statusPublished - 2013 Mar 1

Bibliographical note

Funding Information:
I would like to thank the anonymous referees for their very helpful comments and corrections suggested in revising the paper. I take this favorable chance to express my indebtedness to the Honorable Editor-in-Chief and his Editorial Board for their helpful support. I wish to express my heartiest gratitude to my parents, wife and son without whose inspiration, it would have been impossible to make the research a reality. I am also grateful to Vidyasagar University, West Bengal, India for infrastructural assistance to carry out the research.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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