Title: Manufacturing inventory model with discrete random machine breakdown and discrete stochastic corrective and preventive repair time

Authors: Om Prakash; A.R. Roy; A. Goswami

Addresses: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Abstract: In this paper, we consider a manufacturing inventory system with process deterioration, machine breakdown, corrective and preventive maintenance. Demand rate of items follow discrete stochastic distribution. Normally, production process starts with 'in-control' state and produce good quality items. As time passes, production equipment may deteriorate and shift to 'out-of-control' state. Afterwards, it produces some percentage of defective items. Additional deterioration of production process may result in machine breakdown during production period. If machine breakdown occurs during the production period, then corrective repair starts instantaneously otherwise preventive repair carries out at the end of production period. The machine failure time, corrective and preventive repair time and process shifting time follow discrete stochastic distribution. We formulate the mathematical model and derive the optimal production run-time which minimises total expected production cost of the system. Sensitivity of the optimal solution with respect to different parameters is also analysed.

Keywords: corrective repair time; preventive repair time; process deterioration; machine breakdown; manufacturing industry; inventory modelling; random breakdown; preventive maintenance; corrective maintenance; mathematical modelling; optimal production run-time; total expected cost; production cost.

DOI: 10.1504/IJPM.2013.054750

International Journal of Procurement Management, 2013 Vol.6 No.4, pp.394 - 406

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 11 Jun 2013 *

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