Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE)

Authors

  • Madhu Jain Department Of Mathematics, IIT Roorkee,Roorkee,India
Abstract:

This paper provides steady state queue-size distribution for a G/G/1 queue by using principle of maximum entropy. For this purpose we have used average queue length and normalizing condition as constraints to derive queue-size distribution. Our results give good approximation as demonstrated by taking a numerical illustration. In particular case when square coefficient of variation of inter-arrival time is equal to one, the average queue length provided tallies with the results for M/G/1 model. Other particulars cases have also been deduced which match with already existing results.

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Journal title

volume 16  issue 2

pages  163- 170

publication date 2003-06-01

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