Title: Optimal reserve inventory from output of one machine to input of two machines when inter-arrival breakdown is a random variable

Authors: C.D. Nandakumar; S. Srinivasan; R. Sathiyamoorthi

Addresses: Department of Mathematics and Actuarial Science, BS Abdur Rahman University, Chennai, Tamilnadu, India ' Department of Mathematics and Actuarial Science, BS Abdur Rahman University, Chennai, Tamilnadu, India ' Department of Statistics, Annamalai University, Chidambaram, Tamilnadu, India

Abstract: In this paper, a two stage production process is considered such that there is only one machine M₁ in the first stage and two machines M₂′, M₂″ in the second stage. It is assumed that the output of M₁ is the input for M₂′, M₂″. During the breakdown time of M₁, a reserve inventory is suggested for M₂′, M₂″, to prevent the idle time, which is costlier. An inventory model is derived here based on certain assumptions to find the optimum size of the reserve inventory of the semi-finished product of the machine M₁ to supply the machines M₂′, M₂″ till M₁ resumes the function. Numerical illustrations are provided.

Keywords: breakdowns; repair time; inventory; change point; SCBZ property; production; shortages.

DOI: 10.1504/IJPMB.2019.099329

International Journal of Process Management and Benchmarking, 2019 Vol.9 No.2, pp.173 - 192

Received: 23 Mar 2016
Accepted: 31 Dec 2016
Published online: 29 Apr 2019 *

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