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Fractional Order Generalized EOQ Model with Demand-Dependent Unit Purchasing Cost Under Space Constraints

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

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

Abstract

In the present article, we introduce a fractional order generalized EOQ model with limited storage capacity where demand is inversely related to unit production cost. Here fractional calculus has been utilized to develop our traditional classical EOQ model to a generalized EOQ model. Here the fractional derivative has been assumed in terms of Caputo-fractional derivative sense and the fractional differential equation has been solved using Laplace transform method. Geometric programming techniques have been applied to get the optimum result of fractional order EOQ model. A numerical example is presented to illustrate the model.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, West-Bengal, India

    Asim Kumar Das, Tapan Kumar Roy & Dipak Kumar Jana

Authors
  1. Asim Kumar Das
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  2. Tapan Kumar Roy
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  3. Dipak Kumar Jana
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Corresponding author

Correspondence to Asim Kumar Das .

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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Das, A.K., Roy, T.K., Jana, D.K. (2020). Fractional Order Generalized EOQ Model with Demand-Dependent Unit Purchasing Cost Under Space Constraints. 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_1

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