RELATIONSHIP BETWEEN QUEUE-LENGTH AND WAITING TIME DISRIBUTIONS IN A PRIORITY QUEUE WITH BATCH ARRIVALS

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概要

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• We consider a singl-server priority queue with batch arrivals. We treat the head-of-the-line (HL) or preemptive-resume (PR) priority rule. Assuming that the arrival process of batches is renewal for each priority class and using the point process approach, we express the individual class queue-length distribution in terms of the waiting time and the completion time distributions. Assuming further a batch Poisson arrival for each class, together with the previous result on the Laplace-Stieltjes transforms for the waiting time and completion time distributions, we derive the z-transform for the queue-length distribution in closed form.

• 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 Faculty Of Science And Technology Science University Of Tokyo

• Takahashi Yoshitaka

  Performance Evaluation Research Group Network Traffic Laboratory

• Takahashi Yoshitaka

  Performance Evaluation Research Group Network Traffic Laboratory:ntt Telecommunication Network Labor

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
• PSEUDO-CONSERVATION LAW FOR DISCRETE-TIME MULTI-QUEUE SYSTEMS WITH PRIORITY DISCIPLINES
• ON A SET OF INTERDEPARTURE TIME DISTRIBUTIONS OF THE M/G/1 QUEUE WITH SERVER VACATIONS

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