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Quasi-birth and death processes of two-server queues with stalling

Author

Listed:
  • R. Sivasamy

    (University of Botswana)

  • N. Thillaigovindan

    (Arba Minch University)

  • G. Paulraj

    (Annamalai University)

  • N. Paranjothi

    (Annamalai University)

Abstract

This paper investigates an optimal K-policy for a two-server Markovian queueing system $$M/(M_1,M_2)/2/(B_1,B_2),$$ M / ( M 1 , M 2 ) / 2 / ( B 1 , B 2 ) , with one fast server $$S_1$$ S 1 and one slow server $$S_2$$ S 2 , using the matrix analytic method. Two buffers $$B_1$$ B 1 and $$B_2$$ B 2 are organized to form waiting lines of customers in which, buffer $$B_1$$ B 1 is of finite size $$K(

Suggested Citation

  • R. Sivasamy & N. Thillaigovindan & G. Paulraj & N. Paranjothi, 2019. "Quasi-birth and death processes of two-server queues with stalling," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 739-756, September.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:3:d:10.1007_s12597-019-00376-1
    DOI: 10.1007/s12597-019-00376-1
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    References listed on IDEAS

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    1. B. Krishnamoorthi, 1963. "On Poisson Queue with Two Heterogeneous Servers," Operations Research, INFORMS, vol. 11(3), pages 321-330, June.
    2. Zhang, Xuelu & Wang, Jinting & Do, Tien Van, 2015. "Threshold properties of the M/M/1 queue under T-policy with applications," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 284-301.
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