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Analyzing an inventory model with two-level trade credit period including the effect of customers’ credit on the demand function using q-fuzzy number

Author

Listed:
  • Ateka Banu

    (Vidyasagar University)

  • Shyamal Kumar Mondal

    (Vidyasagar University)

Abstract

In this paper, an EOQ model for deteriorating items has been developed in infinite time horizon including two-level delay in payment in which one delay in payment (M) is offered to the retailer by the supplier and the another delay in payment (N) is offered by the retailer to all customers. Since the real business world is full of uncertainties and the supplier has to face different problems with the retailer, hence there may exist uncertainties in the credit period which is offered by the supplier to the retailer. Again, uncertainties may be linear or non-linear type. Till now, there is no standard fuzzy number by which linearity and non-linearity can be explored simultaneously. In this respect, a new type of fuzzy number known as q-fuzzy number has been introduced to consider linearity and non-linearity together and this is the novelty of the paper. On the other hand, the retailer intends to offer a credit period to all customers to give rise the demand of the items. So, here demand function depends on credit period and duration of offering the credit period. The aim of the retailer is that how much credit period be benefited to get maximum profit. Therefore the purpose of this model is to determine the optimal credit length for the customers and optimal replenishment cycle length. Also, the model has been discussed considering the situation when the retailer offers no credit to the customers. Then some theoretical results and an algorithm for defuzzification have been developed. Finally, some numerical examples have been carried out to interpret the model and a sensitivity analysis of the optimal solution has been provided with respect to some parameters.

Suggested Citation

  • Ateka Banu & Shyamal Kumar Mondal, 2020. "Analyzing an inventory model with two-level trade credit period including the effect of customers’ credit on the demand function using q-fuzzy number," Operational Research, Springer, vol. 20(3), pages 1559-1587, September.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:3:d:10.1007_s12351-018-0391-4
    DOI: 10.1007/s12351-018-0391-4
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    References listed on IDEAS

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    1. Seong Whan Shinn & Hwang, Hark & Sung, Soo Park, 1996. "Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost," European Journal of Operational Research, Elsevier, vol. 91(3), pages 528-542, June.
    2. Ehsan Shekarian & Mohamad Y. Jaber & Nima Kazemi & Ehsan Ehsani, 2014. "A fuzzified version of the economic production quantity (EPQ) model with backorders and rework for a single-stage system," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 8(3), pages 291-324.
    3. Wu, Jiang & Chan, Ya-Lan, 2014. "Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers," International Journal of Production Economics, Elsevier, vol. 155(C), pages 292-301.
    4. Nima Kazemi & Salwa Hanim Abdul-Rashid & Ehsan Shekarian & Eleonora Bottani & Roberto Montanari, 2016. "A fuzzy lot-sizing problem with two-stage composite human learning," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 5010-5025, August.
    5. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    6. Shah, Nita H. & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 569-578.
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    Cited by:

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    2. Subrata Panja & Shyamal Kumar Mondal, 2023. "Sustainable production inventory management through bi-level greening performance in a three-echelon supply chain," Operational Research, Springer, vol. 23(1), pages 1-55, March.
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