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On Two-Level State-Dependent Routing Polling Systems with Mixed Service
Joint Authors
Zheng, Guan
Zhijun, Yang
Wenhua, Qian
Min, He
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on priority differentiation and efficiency of the system, we consider an N+1 queues’ single-server two-level polling system which consists of one key queue and N 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.
American Psychological Association (APA)
Zheng, Guan& Zhijun, Yang& Wenhua, Qian& Min, He. 2015. On Two-Level State-Dependent Routing Polling Systems with Mixed Service. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1072926
Modern Language Association (MLA)
Zheng, Guan…[et al.]. On Two-Level State-Dependent Routing Polling Systems with Mixed Service. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1072926
American Medical Association (AMA)
Zheng, Guan& Zhijun, Yang& Wenhua, Qian& Min, He. On Two-Level State-Dependent Routing Polling Systems with Mixed Service. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1072926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072926