Title: An integrated inventory model for imperfect production process having preservation facilities under fuzzy and inflationary environment

Authors: Surendra Vikram Singh Padiyar; Vipin Chandra Kuraie; Naveen Bhagat; S.R. Singh; Rinki Chaudhary

Addresses: Department of Mathematics, Haldwani City College, Uttarakhand, India ' Department of Mathematics, M.B.P.G. College, Haldwani, Uttarakhand, India ' Government College, Kotabhagh, Uttarakhand, India ' Department of Mathematics, Chaudhary Charan Singh University, Meerut, India ' Department of Mathematics, Chaudhary Charan Singh University, Meerut, India

Abstract: In this paper, we develop an integrated inventory model for a producer and buyer, and consider an imperfect production process having two different demands in which exponential demand for the producer and triangular demand for the buyer. The model takes into account that a partially backlogged shortage is allowed on the buyer's part. Preservation facilities are also considered in this model for deteriorating items to reduce the deterioration rate. The production rate is assumed to be demand-dependent. This model provides a theory to reduce the deterioration rate under the effect of inflation. The total cost of the model is minimised for both crisp and fuzzy environments by using triangular fuzzy numbers and defuzzify the total cost by the centroid method. Numerical example and sensitivity analysis are also given to illustrate this proposed model.

Keywords: imperfect production; supply chain; preserve technology; inflation; fuzzy environment.

DOI: 10.1504/IJMMNO.2022.123967

International Journal of Mathematical Modelling and Numerical Optimisation, 2022 Vol.12 No.3, pp.252 - 286

Received: 01 Sep 2021
Accepted: 30 Jan 2022
Published online: 05 Jul 2022 *

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