A QUEUEING SYSTEM WITH A SETUP TIME FOR SWITCHING OF THE SERVICE DISTRIBUTION

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概要

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• A controlled M/G/1 type queueing system with a setup time for switching of the service distribution is considered. At first, customers are served by a regular service time. When the number of customers in the system exceeds m, the service time is switched to a high speed service time with a setup time. High speed services continue until the end of the busy period. We propose a simple algorithm for the calculation of the mean number of customers in the system by using a normalizing condition and a boundary condition. Moreover, explicit formulas of the probability mass function are derived when the regular service distribution is exponential or constant.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Nishimura Shoichi

  Department Of Applied Mathematics Faculty Of Science Science University Of Tokyo

• Nishimura Shoichi

  Department Of Applied Mathematics Science University Of Tokyo

• Yamada Koji

  IBM Japan, Ltd.

• Yamada Koji

  Ibm Japan Ltd.

関連論文

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• A QUEUEING SYSTEM WITH A SETUP TIME FOR SWITCHING OF THE SERVICE DISTRIBUTION
• Random Collision Processes with Transition Probabilities Belonging to the Same Type of Distribution
• An Inequality for a Metric in Random Collision Process
• EIGENVALUE EXPRESSION FOR A BATCH MARKOVIAN ARRIVAL PROCESS

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