Title: A single perishable product from a single-producer and multiple-buyer's model for Weibull deterioration with time dependent demand and allowable shortage

Authors: Rahul Goel; Anubhav Pratap Singh; Anand Chauhan

Addresses: Department of Mathematics, Graphic Era University, Dehradun, India ' Department of Mathematics, Shri Guru Ram Rai P.G College, Dehradun, India ' Department of Mathematics, Graphic Era University, Dehradun, India

Abstract: The attention of this study is derived from a single perishable product from a single producer and multi-buyers, production-inventory model for deteriorating items with time dependent demand and allowable shortage. A mathematical model incorporating the costs of both the producer and the buyers is developed. A sensitivity analysis of relevant cost function of this model is to minimise the integrated total cost per year more easily. All these practical aspects are incorporated into the model with the purpose of making it more realistic.

Keywords: single producer; multiple buyers; Weibull deterioration; production-inventory systems; inventory modelling; linear demand; partial backlogging; perishable products; time dependent demand; allowable shortages; deteriorating items; mathematical modelling.

DOI: 10.1504/IJCSM.2016.076022

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.1, pp.63 - 75

Received: 18 Jul 2013
Accepted: 24 Mar 2014

Published online: 22 Apr 2016 *

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