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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.
Dhakad, M. R., & Jain, M. (2003). Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE). International Journal of Engineering, 16(2), 163-170.
MLA
M. R. Dhakad; Madhu Jain. "Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE)". International Journal of Engineering, 16, 2, 2003, 163-170.
HARVARD
Dhakad, M. R., Jain, M. (2003). 'Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE)', International Journal of Engineering, 16(2), pp. 163-170.
VANCOUVER
Dhakad, M. R., Jain, M. Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE). International Journal of Engineering, 2003; 16(2): 163-170.