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Analytical Modeling of Closed-Loop Conveyors with Load Recirculation

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Computational Science and Its Applications – ICCSA 2005 (ICCSA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3483))

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Abstract

We present closed form analytical results to show the throughput performance of a discrete-window closed-loop conveyors system serving a user-specified set of stations with intermixed load/unload stations. The buffer capacity at the unloading stations is finite; loads that encounter a full buffer (i.e., blocked loads) are assumed to recirculate around the loop to try again. Given the job flow and routing data as well as the configuration of the conveyor loop, we present an analytical approach to approximate the expected overflow of loads on the conveyor (due to blocked loads). Given the expected overflow, we also show the stability condition for the conveyor system.

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References

  1. Bozer, Y.A., Hsieh, Y.J.: Throughput Performance Analysis and Machine Layout for Discrete-Space Closed-Loop Conveyors. IIE Transactions 37, 77–89 (2005)

    Article  Google Scholar 

  2. Bozer, Y.A., Hsieh, Y.J.: Expected Waiting Times at Loading Stations in Discretespace Closed-Loop Conveyors. European Journal of Operation Research 155, 516–532 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. Fredericks, A.A., Reisner, G.A.: Approximation to Stochastic Service Systems with an Application to a Retrial Model. The Bell System Technical Journal 58, 557–576 (1979)

    Google Scholar 

  4. Greenberg, B.S.: M/G/1 Queueing Systems with Returning Customers. Journal of Applied Probability 26(1), 152–163 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  5. Greenberg, B.S., Wolff, R.W.: An Upper Bound on the Performance of Queues with Returning Customers. Journal of Applied Probability 24(2), 466–475 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  6. Palm, C.: Intensitatsschwankungen im Fernsprecheverkehr. Ericsson Technics 44, 1–8 (1943)

    MathSciNet  Google Scholar 

  7. Pourbabai, B., Sonderman, D.: A Stochastic Recirculation System with Random Access. European Journal of Operational Research 21, 367–378 (1985)

    Article  MATH  Google Scholar 

  8. Pourbabai, B.: Markovian Queueing Systems with Retrials and Heterogeneous Servers. Computational Mathematics Application 13, 917–923 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  9. Sonderman, D.: An Analytical Model for Recirculating Conveyors with Stochastic Inputs and Outputs. International Journal of Production Research 20, 591–605 (1982)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Graduate Institute of Technology and Innovation Management, National Chung Hsing University, Taichung, Taiwan,R.O.C

    Ying-Jiun Hsieh

  2. Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI, U.S.A

    Yavuz A. Bozer

Authors
  1. Ying-Jiun Hsieh
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  2. Yavuz A. Bozer
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  5. Institute of High Performance Computing, IHCP, 1 Science Park Road, 01-01 The Capricorn, Singapore Science Park II, 117528, Singapore

    Heow Pueh Lee

  6. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  7. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  8. OptimaNumerics Ltd, Belfast, United Kingdom

    Chih Jeng Kenneth Tan

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© 2005 Springer-Verlag Berlin Heidelberg

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Hsieh, YJ., Bozer, Y.A. (2005). Analytical Modeling of Closed-Loop Conveyors with Load Recirculation. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424925_47

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  • DOI: https://doi.org/10.1007/11424925_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25863-6

  • Online ISBN: 978-3-540-32309-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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