Traffic flow in an exponential delay system with priority categories

Cox, Russ

doi:10.1049/pi-b-1.1955.0161

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1957

2010

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Cited by 4 publications

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“…Neuts (1980) extended the matrix analytic theory to blocks of infinite size. The solution technique of difference equations in queueing system was elaborated in Cox (1955). Jordan (1965) extended the technique by using generating functions.…”

Section: Introductionmentioning

confidence: 99%

Priority queueing model with balking and reneging

Singh

2010

JANS

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This investigation deals with two levels, single server preemptive priority queueing model with discouragement behaviour (balking and reneging) of customers. Arrivals to each level are assumed to follow a Poisson process and service times are exponentially distributed. The decision to balk / renege is made on the basis of queue length only. Two specific forms of balking behaviour are considered. The system under consideration is solved by using a finite difference equation approach for solving the governing balance equations of the queueing model, with infinite population of level 1 customer. The steady state probability distribution of the number of customers in the system is obtained.

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Section: Introductionmentioning

confidence: 99%

Priority queueing model with balking and reneging

Singh

2010

JANS

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“…Associated witli fl. there are four antithetic pairs, namely,(1,2),(3,4),(5,6), and(7,8).Let their averages be denoted 1,2,3, and 4 .The pairs(1 ,2 ) and(3 ,4 ) are antithetic pairs from distribution R 2 and their averages form an antithetic pair for /?,. Let z .…”

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confidence: 99%