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Sensitivity Analysis and Simulation of Performance for M / G / 1 / K Queuing Systems

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Proceedings of the 2015 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE))

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Abstract

In this paper, the performance potential and performance derivatives are analyzed for M / G / 1 / K queuing systems by the embedded Markov Chain. A computation algorithm is also given basing on a single sample path. To demonstrate the effectiveness of this algorithm, a special M / G / 1 / K queuing systems is given in the simulation section, which indicates the estimation error is very small.

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References

  1. Cao XR, Chen HF (1997) Perturbation realization, potentials and sensitivity analysis of Markov processes. IEEE Trans Autom Control 42(10):1382–1393

    Article  MathSciNet  MATH  Google Scholar 

  2. Zhou YP, Xi HS, Yin BQ et al (2002) Optimality equations based performance potentials for a class of controlled closed queuing networks. Control Theory Appl 19(4):521–526

    MathSciNet  MATH  Google Scholar 

  3. Yin BQ, Zhou YP, Xi HS et al (1999) Sensitivity formulas of performance in two- server cyclic queuing networks with phase-type distributed service times. Int Trans Oper Res 6(6):649–663

    Article  MathSciNet  Google Scholar 

  4. Dai GP, Yin BQ, Zhou YP et al (2003) Sensitivity estimate and simulation of performance for \(M/G/1\) queuing systems. J Syst Simul 15(7):950–952

    Google Scholar 

  5. Yin BQ, Xi HS, Zhou YP (2000) Sensitivity analysis of performance for \(M/G/1\) queuing systems. Appl Math J Chin Univ Ser A 16(2):235–242

    MATH  Google Scholar 

  6. Heidelberger P, Towsley D (1989) Sensitivity analysis from sample paths using likehoods. Manag Sci 35(12):1475–1488

    Article  MATH  Google Scholar 

  7. Papoulis A, Pillai SU (2004) Probability, random variables and stochastic processe. Xian jiaotong University Press, Xian

    Google Scholar 

  8. Konstantopoulos P, Zazanis MA (1992) Sensitivity analysis for stationary and ergodic queues. Adv Appl Probab 24(3):738–750

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

The work reported here is jointly supported by NSFC under grant No. 61320106010, 61573190, 61571014, 61403207, 51405241, China Postdoctoral Science Foundation funded project (2012M520141), Jiangsu Outstanding Youth Fund(BK20140045) and the Practice Innovation Training Program Projects for the Jiangsu College students(201410300092X). These are gratefully acknowledged.

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Authors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics & Astronautics, Beijing, 100191, China

    Liping Yin, Hongyan Zhang, Lihua Wang & Li Zhou

  2. CICAEET, Nanjing University of Information Science & Technology, Nanjing, 210014, China

    Liping Yin

Authors
  1. Liping Yin
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  2. Hongyan Zhang
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  3. Lihua Wang
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  4. Li Zhou
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Corresponding author

Correspondence to Liping Yin .

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Editors and Affiliations

  1. Beihang University, Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

  3. Tsinghua University, Beijing, China

    Hongbo Li

  4. University of Science & Technology Beijing, Beijing, China

    Weicun Zhang

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Yin, L., Zhang, H., Wang, L., Zhou, L. (2016). Sensitivity Analysis and Simulation of Performance for M / G / 1 / K Queuing Systems. In: Jia, Y., Du, J., Li, H., Zhang, W. (eds) Proceedings of the 2015 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48386-2_33

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  • DOI: https://doi.org/10.1007/978-3-662-48386-2_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48384-8

  • Online ISBN: 978-3-662-48386-2

  • eBook Packages: EngineeringEngineering (R0)

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