ScholarLens Back to search
1989•Journal of the Operations Research Society of JapanRequires access

COMPARISON OF THE LOSS PROBABILITY OF THE GI^X/GI/1/k QUEUES WITH A COMMON TRAFFIC INTENSITY

Masakiyo Miyazawa

Open publisher page 12 citations

Abstract

The loss probabilities of the Gl x /GI/I/A: queues, which means the batch arrival GI/CI/I/k queues, are compared when the queues have a common waiting capacity k, a common batch size distributions and a common traffic intensity. We prove that, if the interarrival time and service time distributions are NBUE (NWUE), then the loss probabilities are not greater (less) than those of the corresponding M X /M/I/k queues. The stron~:er results are obtained for the M /G/I/k queues with single arrivals.

About this research paper

What this paper is about

The loss probabilities of the Gl x /GI/I/A: queues, which means the batch arrival GI/CI/I/k queues, are compared when the queues have a common waiting capacity k, a common batch size distributions and a common traffic intensity. We prove that, if the interarrival time and service time distributions are NBUE (NWUE), then the loss probabilities are not greater (less) than those of the corresponding M X /M/I/k queues. The stron~:er results are obtained for the M /G/I/k queues with single arrivals.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The loss probabilities of the Gl x /GI/I/A: queues, which means the batch arrival GI/CI/I/k queues, are compared when the queues have a common waiting capacity k, a common batch size distributions and a common traffic intensity. We prove that, if the interarrival time and service time distributions are NBUE (NWUE), then the loss probabilities are not greater (less) than those of the corresponding M X /M/I/k queues. The stron~:er results are obtained for the M /G/I/k queues with single arrivals.

Key concepts: Queue, Traffic intensity, Intensity (physics), Mathematics, Statistics, Computer science, Combinatorics, Physics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
COMPARISON OF THE LOSS PROBABILITY OF THE GI^X/GI/1/k QUEUES WITH A COMMON TRAFFIC INTENSITY — Research Paper | ScholarLens