Abstract
This paper considers the joint relationship among supplier, manufacturer-cum-retailer and multiple markets in which manufacturer-cum-retailer gets a facility of fuzzy credit period for purchasing of raw materials from supplier. The manufacturer produces the finished goods along with a constant defective rate. Here the finished product is transported to different markets in different seasons, with a transportation cost that depends on the amount of transportation and learning ratio. Also, the demand of the item is different in different markets. Further, the optimal operation policy that maximizes total profit of the integrated system is derived under a constant rate of inflation. But due to impreciseness in trade credit period, profit function becomes fuzzy in nature thereby determining the optimal values of decision variables, equivalent crisp profit function is procured by applying fuzzy expectation method. The necessity optimal conditions of the objective and its concavity properties have been derived to obtain maximum profit. Finally, the models are illustrated with certain numerical and graphical solutions provided with sensitivity analysis of model’s parameters.
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De, M., Das, B., Maiti, M. (2020). A Learning Effected Imperfect Production Inventory Model for Several Markets with Fuzzy Trade Credit Period and Inflation. 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_6
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DOI: https://doi.org/10.1007/978-3-030-34152-7_6
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