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Tandem Queueing System with Different Types of Customers

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Analytical and Stochastic Modeling Techniques and Applications (ASMTA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6751))

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Abstract

A dual tandem consisting of multi-server queueing systems without buffers is considered. Customers of two types arrive to Station 1 in the MMAP (Marked Markovian Arrival Process). The first type customers aim to be served at Station 1 only while the second type customers should be served at both stations. The stationary distribution of the system states and the main performance measures of the tandem queue under consideration are calculated. Illustrative numerical examples are presented.

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References

  1. Graham, A.: Kronecker Products and Matrix Calculus with Applications. Ellis Horwood, Cichester (1981)

    MATH  Google Scholar 

  2. He, Q.M.: Queues with marked customers. Advances in Applied Probability 28, 567–587 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  3. Kim, C.S., Dudin, S.: Priority tandem queueing model with admission control. Computers and Industrial Engineering 60 (2011), doi:10.1016/j.cie.2011.03.003

    Google Scholar 

  4. Klimenok, V., Kim, C.S., Orlovsky, D., Dudin, A.: Lack of invariant property of Erlang loss model in case of the MAP input. Queueing Systems 49, 187–213 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Neuts, M.: Matrix-Geometric Solutions in Stochastic Models - An Algorithmic Approach. Johns Hopkins University Press, Baltimore (1981)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Belarusian State University, Minsk, 220030, Belarus, Belarus

    Valentina Klimenok & Alexander Dudin

  2. Department of Industrial Engineering, Sangji University, Wonju, Kangwon, Korea, 220-702

    Che Soong Kim

Authors
  1. Valentina Klimenok
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  2. Che Soong Kim
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  3. Alexander Dudin
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Editor information

Editors and Affiliations

  1. Faculty of Advanced Technology, University of Glamorgan, CF37 1DL, Pontypridd, UK

    Khalid Al-Begain

  2. Dipartimento di Informatica, Università Ca’ Foscari di Venezia, Via Torino 155, 30173, Mestre - Venezia, Italy

    Simonetta Balsamo  & Andrea Marin  & 

  3. Department TELIN, Ghent University, Sint-Pietersnieuwstraat 41, 9000, Gent, Belgium

    Dieter Fiems

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© 2011 Springer-Verlag Berlin Heidelberg

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Klimenok, V., Kim, C.S., Dudin, A. (2011). Tandem Queueing System with Different Types of Customers. In: Al-Begain, K., Balsamo, S., Fiems, D., Marin, A. (eds) Analytical and Stochastic Modeling Techniques and Applications. ASMTA 2011. Lecture Notes in Computer Science, vol 6751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21713-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-21713-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21712-8

  • Online ISBN: 978-3-642-21713-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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