Mathematical analysis of single queue multi server and multi queue multi server queuing models: comparison study

  • Authors

    • Vijay Prasad Vikram university, Ujjain
    • Badshah V.H Vikram university, Ujjain
    • Tariq Ahmad Koka Vikram university, Ujjain
    2015-06-01
    https://doi.org/10.14419/gjma.v3i3.4689
  • M/M/1 Model, M/M/S Model, Single Queue – Multi Server and Multi Queue – Multi Server Queuing Models, Service Cost, Waiting Cost, Expected Total Cost.

  • In the research paper entitled Mathematical Analysis of Single Queue Multi Server and Multi Queue Multi Server Queuing Model, Prasad and Badshah [7] were proved that single queue multi server model is better than multi queue multi server model, and discussed the relation between the performance measures of these two models, and derive the mathematical equations. In this paper we derive the total cost with assumption of certain Waiting cost in both cases. Also, prove that the expected total cost is less for single queue multi server model as comparing with multi queue multi server model.

  • References

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      [6] Vijay Prasad. S, Badshah. V.H, Pradeep Porwal, Decision Making by M/M/S Queuing Model: A Case Study-I, International Journal of Pure and Applied Mathematical Sciences, Volume 7, 2014, pp. 137-143

      [7] Vijay Prasad. S, Badshah. V.H, Mathematical Analysis of Single Queue Multi Server and Multi Queue Multi Server Queuing Model, IJAEET, Vol. 5, No. 6, 2014, pp. 264 – 273

      [8] X.X. Zaho, Queuing theory with bank management innovation, Modern finance, No.3, 2007, pp. 9- 10

      [9] Yuejian Jie, The optimal supermarket service, International Journal of Business Management, Vol.5, No.2, 2010, pp. 128-129 http://dx.doi.org/10.5539/ijbm.v5n2p128.

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  • How to Cite

    Prasad, V., V.H, B., & Koka, T. A. (2015). Mathematical analysis of single queue multi server and multi queue multi server queuing models: comparison study. Global Journal of Mathematical Analysis, 3(3), 97-104. https://doi.org/10.14419/gjma.v3i3.4689