Exact Analysis of a Two Stage Production Line with Parallel Unreliable Machines

Abstract:

This paper proposes a new analytical model of manufacturing system with two parallel machine workstations. The machines in the system are non-identical unreliable machines, and the processing times, failure times and repair times of the machines are assumed to be exponentially distributed. In this paper we for the first time give an exact model of two workstation parallel machine system. Case studies show the accuracy of the proposed model.

• Periodical: Applied Mechanics and Materials (Volumes 130-134)
• Pages: 547-550
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.130-134.547
• Online since: October 2011
• Authors: Jia Lu Liu, Ai Guo Wu
• Keywords: Analycial Model, Exact Analysis, Production Line, Three-State Model

References

[1] S.B. Gershwin. Manufacturing Systems Engineering [M]. Englewood Cliffs: Prentice Hall, (1994).

[2] J.S. Li, D.E. Blumenfeld, N.J. Huang and J.M. Adlen, Throughput analysis of production systems: recent advances and future topics, International Journal of Production Research, 47 (2009) 3823-3851.

DOI: 10.1080/00207540701829752

[3] K.C. Jeong and Y.D. Kim, Performance analysis of assembly/disassembly systems with unreliable machines and random processin times, IIE Transactions, 30 (1998) 41-45.

DOI: 10.1080/07408179808966436

[4] A. Patchong and D. Willaeys, Modeling and analysis of an unreliable of parallel-machine stages, IIE Transactions, 33 (2001) 59-568.

DOI: 10.1080/07408170108936854

[5] S. Yang, S.J. Hu. Approximate analysis of production lines with loop, scrapping and serial/parallel blocks[C]/. Second Aegean International Conference on Analysis and Modeling of Manufacturing Systems, Tinos Island, Greece, 17-20 May, (1999).

[6] A.C. Diamantidis, C.T. Papadopoulos and M.I. Vidalis, Exact analysis of a discrete material three-station one-buffer merge system with unreliable machines, Int. J. Prod. Res., 42 (2004) 651-675.

DOI: 10.1080/00207540310001602838

[7] A.C. Diamantidis, and C.T. Papadopoulos, Markovian analysis of a discrete material manufacturing system with merge operations, operation-dependent and idleness failures, Computer and Industrial Engineering, 50 (2006) 466-487.

DOI: 10.1016/j.cie.2005.04.004

[8] A.C. Diamantidis, C.T. Papadopoulos and C. Heavery, Approximate analysis of serial flow lines with multiple parallel-machine stations, IIE Tractions, 39 (2007) 361-375.

DOI: 10.1080/07408170600838423

[9] A.C. Diamantidis and C.T. Papadopoulos, Exact analysis of a two-station one-buffer flow line with parallel unreliable machines, European Journal of Operational Research, 197 (2009) 572-580.

DOI: 10.1016/j.ejor.2008.07.004