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Control of Traffic Intensity in Hyperexponential and Mixed Erlang Queueing Systems with a Method Based on SPRT

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  • Müjgan Zobu
  • Vedat Sağlam

Abstract

The control of traffic intensity is one of the important problems in the study of queueing systems. Rao et al. (1984) developed a method to detect changes in the traffic intensity in queueing systems of the and types based on the Sequential Probability Ratio Test (SPRT). In this paper, SPRT is theoretically investigated for two different phase-type queueing systems which consist of hyperexponential and mixed Erlang. Also, for testing against , Operating Characteristic (OC) and Average Sample Number (ASN) functions are obtained with numerical methods using multipoint derivative equations according to different situations of and type errors. Afterward, numerical illustrations for each model are provided with Matlab programming.

Suggested Citation

  • Müjgan Zobu & Vedat Sağlam, 2013. "Control of Traffic Intensity in Hyperexponential and Mixed Erlang Queueing Systems with a Method Based on SPRT," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, July.
    • Handle: RePEc:hin:jnlmpe:241241
    DOI: 10.1155/2013/241241
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