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On Two-Level State-Dependent Routing Polling Systems with Mixed Service

Author

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  • Guan Zheng
  • Yang Zhijun
  • Qian Wenhua
  • He Min

Abstract

Based on priority differentiation and efficiency of the system, we consider an queues’ single-server two-level polling system which consists of one key queue and normal queues. The novel contribution of the present paper is that we consider that the server just polls active queues with customers waiting in the queue. Furthermore, key queue is served with exhaustive service and normal queues are served with 1-limited service in a parallel scheduling. For this model, we derive an expression for the probability generating function of the joint queue length distribution at polling epochs. Based on these results, we derive the explicit closed-form expressions for the mean waiting time. Numerical examples demonstrate that theoretical and simulation results are identical and the new system is efficient both at key queue and normal queues.

Suggested Citation

  • Guan Zheng & Yang Zhijun & Qian Wenhua & He Min, 2015. "On Two-Level State-Dependent Routing Polling Systems with Mixed Service," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:109325
    DOI: 10.1155/2015/109325
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