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International Conference on Information Technology and Applied Mathematics

ICITAM 2019: Recent Advances in Intelligent Information Systems and Applied Mathematics pp 423–433Cite as

Two-Echelon Supply Chain Model in an Imperfect Production with Stochastic Demand Considering the Rework of the Defective Items

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

Abstract

This article presents a two-echelon supply chain model consisting of a single manufacturer and a single retailer. Here, the manufacturer’s production system is imperfect and produces a certain proportion of defective products with the perfect products. The manufacturer starts reworking the defective products at the end of the main production. It is assumed that the customer’s demand to the retailer is stochastic in nature and the retailer’s demand to the manufacturer depends on the customer’s demand for the product to the retailer. Finally, we have derived a cost function of the system. Numerical examples have been presented to clarify the applicability of the proposed model and sensitivity analysis has been presented to study the effect of the change of the parameters on the optimal decision variables.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Mankar College, Mankar, Burdwan, 713144, West Bengal, India

    Sujata Saha

  2. Department of Applied Mathematics, University of Calcutta, Kolkata, India

    Sujata Saha

  3. Basic Sciences, Techno India University, EM-4, Sector V, Salt Lake City, Kolkata, 70009, West Bengal, India

    Tripti Chakrabarti

  4. Applied Mathematics, University of Calcutta, Kolkata, India

    Tripti Chakrabarti

Authors
  1. Sujata Saha
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  2. Tripti Chakrabarti
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Corresponding author

Correspondence to Sujata Saha .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Haldia Institute of Technology, Haldia, West Bengal, India

    Dipak Kumar Jana

  3. Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  4. Haldia Institute of Technology, Haldia, India

    Arif Ahmed

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Saha, S., Chakrabarti, T. (2020). Two-Echelon Supply Chain Model in an Imperfect Production with Stochastic Demand Considering the Rework of the Defective Items. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_33

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