American Institute of Mathematical Sciences

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July  2009, 5(3): 467-479. doi: 10.3934/jimo.2009.5.467

Analysis of discrete-time space priority queue with fuzzy threshold

Yung Chung Wang 1, , Jenn Shing Wang 2, and  Fu Hsiang Tsai 1,

1. 

Department of Electrical Engineering, National Taipei University of Technology, Taipei Taiwan, 1. Sec. 3. Chung-Hsiao E. Rd. Taipei 10608, Taiwan, Taiwan
2. 

Department of Computer Science and Information Engineering, Jinwen University of Science and Technology, Taipei Taiwan, 99, An-Chung Rd. Hsin-Tien, Taipei, Taiwan

Received  August 2008 Revised  April 2009 Published  June 2009

In this paper, we develop a discrete-time queueing model of fuzzy threshold-based space priority buffer management and study its performance under realistic conditions. It applies a matrix-analytic approach to analyze the relevant performance measure, including the packet loss probability of high-priority traffic and the packet loss probability of low-priority traffic. Intuitively, the fuzzy threshold adapts well to different input traffic conditions and packet loss rate requirements of high-priority packet, yielding a lower packet loss probability for low-priority packet.
Keywords: discrete-time batch Markovian arrival process., fuzzy threshold space priority queue, Matrix-analytic method, loss probability.
Mathematics Subject Classification: Primary: 90B18, 90B2.
Citation: Yung Chung Wang, Jenn Shing Wang, Fu Hsiang Tsai. Analysis of discrete-time space priority queue with fuzzy threshold. Journal of Industrial & Management Optimization, 2009, 5 (3) : 467-479. doi: 10.3934/jimo.2009.5.467
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