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Analysis of Transient Throughput Rates of Transfer Lines with Pull Systems

  • Mahmut Ali GökçeEmail author
  • M. Cemali Dinçer
  • M. Arslan Örnek
Chapter
Part of the Springer Optimization and Its Applications book series (SOIA, volume 60)

Abstract

Transfer lines represent the basic manufacturing system of many high volume production systems. Analysis and understanding of transfer lines are of great importance to improve design and operation performance of many manufacturing systems. Majority of research on the throughput of transfer lines concentrate on the steady state results. Due to the changes in manufacturing environment and increasing importance of JIT and pull systems, many transfer lines now have to changeover to different parts’ production quickly, probably most of the time, before enough time passes to reach steady state for a specific configuration. In such situations, steady state may never be reached and hence results relating to the steady state do not make sense. In these situations, one would be more interested in transient behavior of the system. In this study, we offer a novel analytical model for transient throughput analysis of transfer lines. Defining throughput as the number of units produced by a transfer line with buffers per unit time, this chapter shows how to calculate mean and variance of and interval estimates for throughput for a pull type transfer line. Derivation of distribution of transient throughput of transfer lines is presented and sample calculations are provided.

Keywords

Transfer Line Transient Behavior Transient Analysis Interarrival Time Demand Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Altiok, T.: Performance analysis of manufacturing systems. Springer, Belin (1997)CrossRefGoogle Scholar
  2. 2.
    Buxey, G.M., Slack, N.D., Wild, R.: Production flow line systems design–a review. AIIE Transactions 5, 37–48 (1973)CrossRefGoogle Scholar
  3. 3.
    Buzacott, J.A., Hanifin, L.E.: Models of automatic transfer lines with inventory banks: a review and comparison. AIIE Transactions 10, 197–207 (1978)CrossRefGoogle Scholar
  4. 4.
    Buzacott, J.A., Shantikumar, J.G.: Stochastic models of manufacturing systems. Prentice Hall, Engelwood Cliffs, NJ (1993)zbMATHGoogle Scholar
  5. 5.
    Chen, C.T., Yuan, J., Lin M.-H.: Transient throughput analysis using sample path method for serial unreliable work centers. International Journal of The Computer, The Internet and Management 11(1), 30–41 (2003)Google Scholar
  6. 6.
    Ciprut, P., Hongler, M.-O., Salama Y.: On the variance of the production output of transfer lines. IEEE Transactions on Robotics and Automation 15(1), 33–43 (1999)CrossRefGoogle Scholar
  7. 7.
    Dallery, Y., Gershwin, S.B.: Manufacturing flow line systems: a review of models and analytical results. Queuing Systems 2, 3–94 (1992)CrossRefGoogle Scholar
  8. 8.
    Dinçer, C., Deler, B.: On the distribution of throughput of transfer lines. Journal of the Operational Research Society 51, 1170–1178 (2000)zbMATHCrossRefGoogle Scholar
  9. 9.
    Gershwin, S.B.: Manufacturing Systems Engineering. Prentice Hall, New Jersey (1994)Google Scholar
  10. 10.
    Govil, M.C., Fu, M.C.: Queueing theory in manufacturing: a survey. Journal of Manufacturing Systems, 18, 214–240 (1996)CrossRefGoogle Scholar
  11. 11.
    Hopp, W., Spearman, M.: Factory Physics. McGraw-Hill, Irwin (2000)Google Scholar
  12. 12.
    Koenigsberg, E.: Production lines and internal storage–a review. Management Sciences 5, 410–433 (1959)CrossRefGoogle Scholar
  13. 13.
    Li, J., Blumenfeld, D.E., Huang, N., Alden, J.M: Throughput Analysis of production systems: Recent Advances and Future Topics. International Journal of Production Research 47, 3823–3851 (2009)Google Scholar
  14. 14.
    Li, J., Meerkov, S.M.: Production systems engineering. Wingspan Press, Livermore, CA (2007)Google Scholar
  15. 15.
    Meerkov, S.M., Zhang, L.: Transient behavior of serial production lines with Bernoulli machines. IIE Transactions 40, 297–312 (2008)CrossRefGoogle Scholar
  16. 16.
    Mitra, D.: Stochastic theory of a fluid model of producers and consumers coupled by a buffer. Advances in Applied Probability 20(3), 646–676 (1998)CrossRefGoogle Scholar
  17. 17.
    Mocanu, S.: Numerical algorithms for transient analysis of fluid queues. In Fifth International Conference on the Analysis of Manufacturing Systems, Zakymthos, Greece (2005)Google Scholar
  18. 18.
    Papadopoulos, H.T., Heavy, C., Browne, J.: Queueing Theory in Manufacturing Systems Analysis and Design. Chapman & Hill, London, UK (1993)Google Scholar
  19. 19.
    Sader, B.H., Sorensen, C.D.: A new technique for modelling production control schemes in manufacturing systems. International Journal of Production Research 48(23), 7127–7157 (2010)zbMATHCrossRefGoogle Scholar
  20. 20.
    Sariyer, G.: On the transient analysis of transfer lines M.Sc. Thesis, Graduate School of Sciences, Izmir University of Economics (2009)Google Scholar
  21. 21.
    Tan, B.: An efficient method for variance of the output in a production line with a finite buffer. In Proceeding of International Workshop on Performance Evaluation and Optimization of Production Lines, Samos, Greece, 135–157 (1997)Google Scholar
  22. 22.
    Tan, B.: Variance of the throughput of an N-station production line with no intermediate buffers and time dependent failures. European Journal of Operational Research 101(3), 560–576 (1997)zbMATHCrossRefGoogle Scholar
  23. 23.
    Tan, B.: An analytic formula for variance of output from a series-parallel production system with no interstation buffers and time-dependent failures. Mathematical and Computer Modelling 27(6), 95–112 (1998)zbMATHCrossRefGoogle Scholar
  24. 24.
    Tan, B.: Asymptotic variance rate of the output of a transfer line with no buffer storage and cycle-dependent failures. Mathematical and Computer Modeling 29, 97–112 (1999)zbMATHCrossRefGoogle Scholar
  25. 25.
    Tan, B.: Variance of the output as a function of time: Production line dynamics. European Journal of Operational Research 117, 470–484 (1999)zbMATHCrossRefGoogle Scholar
  26. 26.
    Tan, B.: Asymptotic variance rate of the output in production lines with finite buffers. Annals of Operations Research 93, 385–403 (2000)MathSciNetzbMATHCrossRefGoogle Scholar
  27. 27.
    Viswanadham, N., Narahari, Y.: Transient analysis of manufacturing systems performance. IEEE Transactions on Robotics and Automation 10, 330–345 (1994)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Mahmut Ali Gökçe
    • 1
    Email author
  • M. Cemali Dinçer
    • 2
  • M. Arslan Örnek
    • 1
  1. 1.Department of Industrial Systems EngineeringIzmir University of EconomicsBalcovaTurkey
  2. 2.Department of Industrial EngineeringIstanbul Bilgi UniversityEyupTurkey

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