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Approximate analysis of unreliable transfer lines with splits in the flow of material

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  • Stefan Helber

Abstract

This paper presents a Markov process model and an approximate decomposition technique for a discrete material transfer line with limited buffer capacity. A fraction of the parts processed at some stations in the line may be scrapped or reworked at dedicated machines to meet product quality requirements. Reworked parts are not sent back into the main line. This leads to splits in the flow of material. Processing times are deterministic and identical for all machines and are taken as the time unit. Machine specific times to failure and to repair are geometrically distributed. The model is analyzed through a decomposition into two‐machine systems. We develop new decomposition equations for machines performing split operations. Production rates and inventory levels are computed and compared to simulation results. The results indicate that the method produces useful results for a variety of systems. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Stefan Helber, 2000. "Approximate analysis of unreliable transfer lines with splits in the flow of material," Annals of Operations Research, Springer, vol. 93(1), pages 217-243, January.
  • Handle: RePEc:spr:annopr:v:93:y:2000:i:1:p:217-243:10.1023/a:1018923907048
    DOI: 10.1023/A:1018923907048
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    Cited by:

    1. George Liberopoulos & George Kozanidis & Panagiotis Tsarouhas, 2007. "Performance Evaluation of an Automatic Transfer Line with WIP Scrapping During Long Failures," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 62-83, December.
    2. Sachs, F.E. & Helber, S. & Kiesmüller, G.P., 2022. "Evaluation of Unreliable Flow Lines with Limited Buffer Capacities and Spare Part Provisioning," European Journal of Operational Research, Elsevier, vol. 302(2), pages 544-559.

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