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Discrete time model for two-machine one-buffer transfer lines with restart policy

Author

Listed:
  • Elisa Gebennini
  • Andrea Grassi
  • Cesare Fantuzzi
  • Stanley Gershwin
  • Irvin Schick

Abstract

The paper deals with analytical modeling of transfer lines consisting of two machines decoupled by one finite buffer. In particular, the case in which a control policy (referred as “restart policy”) aiming to reduce the blocking frequency of the first machine is addressed. Such a policy consists of forcing the first machine to remain idle (it cannot process parts) each time the buffer gets full until it empties again. This specific behavior can be found in a number of industrial production systems, especially when some machines are affected by outage costs when stops occur. The two-machine one-buffer line is here modeled as a discrete time Markov process and the two machines are characterized by the same operation time. The analytical solution of the model is obtained and mathematical expressions of the most important performance measures are provided. Some significant remarks about the effect of the proposed restart policy on the behavior of the system are also pointed out. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Elisa Gebennini & Andrea Grassi & Cesare Fantuzzi & Stanley Gershwin & Irvin Schick, 2013. "Discrete time model for two-machine one-buffer transfer lines with restart policy," Annals of Operations Research, Springer, vol. 209(1), pages 41-65, October.
    • Handle: RePEc:spr:annopr:v:209:y:2013:i:1:p:41-65:10.1007/s10479-011-0868-5
    DOI: 10.1007/s10479-011-0868-5
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    References listed on IDEAS

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    Cited by:

    1. Kiesmüller, G.P. & Sachs, F.E., 2020. "Spare parts or buffer? How to design a transfer line with unreliable machines," European Journal of Operational Research, Elsevier, vol. 284(1), pages 121-134.

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