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A Fuzzy Random Periodic Review Inventory Model Involving Controllable Back-Order Rate and Variable Lead-Time

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 139))

Abstract

In this paper, a fuzzy random periodic review inventory model with controllable back-order rate and variable lead-time has been considered where the annual demand is treated as a fuzzy random variable. The shortage is partially backlogged and the back-order rate is dependent on the back-order discount and the length of the lead-time. The lead-time crashing cost is being introduced as a negative exponential function of the lead-time. We develop a methodology to find the optimal review period, optimal target level, and optimal lead-time. A numerical example is provided to illustrate the model.

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Acknowledgments

The authors are most grateful to the Editors and referees for their helpful and constructive comments for improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    Sushil Kumar Bhuiya & Debjani Chakraborty

Authors
  1. Sushil Kumar Bhuiya
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  2. Debjani Chakraborty
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Corresponding author

Correspondence to Sushil Kumar Bhuiya .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Indian Institute of Technology Kharagpur Dept. Computer Science & Engineering, Kharagpur, West Bengal, India

    Dipanwita Roy Chowdhury

  3. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

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Bhuiya, S.K., Chakraborty, D. (2015). A Fuzzy Random Periodic Review Inventory Model Involving Controllable Back-Order Rate and Variable Lead-Time. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_21

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