Title: Economic lot sizing for unreliable production system with shortages

Authors: Neetu Singh; Madhu Jain; Nisha Arora

Addresses: Department of Applied Sciences, World College of Technology and Management, Gurgaon, India ' Department of Mathematics, IIT Roorkee, Roorkee-247 667, India ' School of Engineering, GD Goenka University, Gurgaon, India

Abstract: The purpose of the present study is to analyse the optimal lot size in an unreliable single-machine production system with shortages. The production system is subject to failure due to machine breakdown. Breakdown times are considered to be according to Weibull distribution. It is assumed that the shortages are allowed and backlogged. During each production, the set-up preventive (regular) maintenance is performed. The corrective (i.e., emergency) maintenance is carried out immediately after breakdown. For the illustration purpose, numerical results are provided for the special cases. To obtain the optimal cost per unit time, we also employ the artificial neuro-fuzzy inference system (ANFIS) approach which has the learning capability of neural network as well as advantages of rule-base fuzzy system. It is noted that the results obtained by neuro-fuzzy technique are at par with the results computed by the analytical techniques.

Keywords: inventory modelling; economic lot sizing; ELS; unreliable machines; preventive maintenance; shortages; adaptive neuro-fuzzy inference system; ANFIS; neural networks; fuzzy logic; unreliable production systems; system failure; machine breakdown.

DOI: 10.1504/IJMOR.2015.070198

International Journal of Mathematics in Operational Research, 2015 Vol.7 No.4, pp.464 - 483

Received: 22 Jul 2013
Accepted: 23 Feb 2014
Published online: 29 Jun 2015 *

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