A simple Queuing System in the Case Where a Server Joins the System when the Queue Length Attains a Certain Length

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概要

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• A simple queuing system with a queue-dependent server is considered. Assuming a finite waiting space in front of servers, we derive the system size distribution (the state probability) and the mean number of customers in the system for two servers. Furthermore, a method of diffusion approximation is applied for solving the system with general independent inter-arrival time and general service time distributions. Numerical examples for the mean number of customers in the system are given to compare an exact value with an approximate one.

• 一般社団法人日本機械学会の論文

著者

• Yuasa Yasunobu

  Department Of Mechanical Engineering Faculty Of Engineering Keio University

• Yuasa Yasunobu

  Department Of Planning Technology Ashikaga Institute Of Technology

• YAMASHlRO Mitsuo

  Department of Planning Technology, Ashikaga Institute of Technology

• Yamashlro Mitsuo

  Department Of Planning Technology Ashikaga Institute Of Technology

関連論文

• A simple Queuing System in the Case Where a Server Joins the System when the Queue Length Attains a Certain Length
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