Title: Optimisation of EOQ model with Weibull deterioration under crisp and fuzzy environment

Authors: Anu Sayal; A.P. Singh; Deepak Aggarwal

Addresses: Department of Mathematics, Uttarakhand Technical University, Dehradun, 248001, Uttarakhand, India ' Department of Mathematics, S.G.R.R. (PG) College, Dehradun, 248001, Uttarakhand, India ' Department of Mathematics, GRD IMT, Dehradun, 248001, Uttarakhand, India

Abstract: Deterioration is an unavoidable condition prevalent in all spheres of the inventory system involving perishable goods. Though other factors are also responsible for the depletion of the level of the inventory but the effect of deterioration in this regards is quite high. In the present paper, we have considered the deterioration rate of the form of Weibull distribution and the demand rate is taken as a ramp type function of time, when the inventory system starts without any kind of shortage. We have developed a mechanism for the optimisation of the total cost of the EOQ inventory system in both crisp and fuzzy environment. An appropriate numerical example has been proposed in order to validate the model in both crisp and fuzzy system.

Keywords: optimisation; deterioration; ramp type demand; EOQ model; fuzzy inventory system; Weibull distribution.

DOI: 10.1504/IJMMNO.2019.102582

International Journal of Mathematical Modelling and Numerical Optimisation, 2019 Vol.9 No.4, pp.400 - 428

Received: 01 Aug 2018
Accepted: 03 Nov 2018

Published online: 23 May 2019 *

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