A REGENERATIVE CYCLE APPROACH TO AN M/G/1 QUEUE WITH EXCEPTIONAL SERVICE

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概要

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• We are concerned with an M/G/1 queue in which service time distributions in each busy period may depend on the number of customers who have been served in the same busy period. This model is called an exceptional service model. Our major interest is to see a general structure of this model through the stationary waiting time distribution and some other characteristics. To this end, we take a regenerative cycle approach with respect to a busy cycle. This approach enables us to get several characteristics in tractable forms, from which we get some interesting properties of the exceptional service model. Numerical examples are presented as well.

• 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

• Miyazawa Masakiyo

  Department Of Information Science Tokyo University Of Science

• Miyazawa Masakiyo

  Department Of Information Sciences Science University Of Tokyo

• Kengaku Hironobu

  Department of Information Sciences, Science University of Tokyo

• Kengaku Hironobu

  Department Of Information Sciences Science University Of Tokyo

関連論文

• RELATIONSHIP BETWEEN QUEUE-LENGTH AND WAITING TIME DISRIBUTIONS IN A PRIORITY QUEUE WITH BATCH ARRIVALS
• CONJECTURES ON DECAY RATES OF TAIL PROBABILITIES IN GENERALIZED JACKSON AND BATCH MOVEMENT NETWORKS
• A REGENERATIVE CYCLE APPROACH TO AN M/G/1 QUEUE WITH EXCEPTIONAL SERVICE

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