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Optimization in Fuzzy Economic Order Quantity Model Involving Pentagonal Fuzzy Parameter

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Abstract

In the classical EOQ model, acquiring cost of an order would be usually paid while receiving its receipt. Sometimes, the supplier may offer the retailer to pay the entire amount or the fraction of acquiring cost in advance as equal number of payments. The present research discusses the EOQ model with substandard products under fuzzy situation. This model deals with the advance payment on acquiring cost, products with substandard quality, and misclassification errors under repair option without scarcity by providing two models. The first model hypothesizes a remittance situation where the advance payment should be paid before the cycle time with some rate of interest which incurred by the supplier while the second model scrutinizes a situation where the prepayment occurs during the time length of the prior cycle which leads the supplier who would offer some price rebate on prepaid quantities. The proportion of improper items and the two kinds of screening errors are considered as the pentagonal fuzzy numbers [PFNs]. A fuzzy EOQ is framed for analyzing the sample, which can obtain the optimal solution. The impact of fuzziness on fraction of substandard products and investigation errors are illustrated for two models with appropriate examples.

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Acknowledgements

The authors would like to thank the referees and editor for their valuable comments and suggestions that greatly help us to improve the quality of this paper. This research was supported by the Ministry of Higher Education Malaysia (MOHE) through Fundamental Research Grant Scheme (FRGS) (FRGS/1/2019/STG06/UTHM/02/1) Grant No: K179.

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Authors and Affiliations

  1. Department of Mathematics, Queen Mary’s College, University of Madras, Chennai, India

    S. Rajeswari & C. Sugapriya

  2. Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India

    D. Nagarajan

  3. Fuzzy Mathematics & Applications Focus Group, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia (Campus Pagoh), Pagoh, Malaysia

    J. Kavikumar

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  1. S. Rajeswari
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  2. C. Sugapriya
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  3. D. Nagarajan
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  4. J. Kavikumar
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Correspondence to D. Nagarajan.

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Rajeswari, S., Sugapriya, C., Nagarajan, D. et al. Optimization in Fuzzy Economic Order Quantity Model Involving Pentagonal Fuzzy Parameter. Int. J. Fuzzy Syst. 24, 44–56 (2022). https://doi.org/10.1007/s40815-021-01111-z

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  • DOI: https://doi.org/10.1007/s40815-021-01111-z

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