Higher moments of the waiting time distribution in M/G/1 retrial queues

“…A repeating method to compute the variance of the distribution of waiting time has been developed in Hanschke [11]. There has been several literature for the distribution of the M/M/C queuing system and it has been seen that the calculation of the distribution for waiting time is very difficult, whereas the average waiting time for the steady state is obtained with lease using Little's expression [12].…”

Section: Literature Reviewmentioning

confidence: 99%

Implementation of Fuzzy Logic for M/M/C Model in Packet Switched Network Using HoL Priority Queue

K¹,

Hussain²

2019

IJRAT

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In this paper, an HoL priority queue is utilised to give preference to some high priority traffic using fuzzy logic controller. The same controller is also used to choose the number of servers in M/M/C queue model since this represents the speed of service. The service rate has been altered between one and two for altering the C value in the queue. Using MATLAB, the queuing model is simulated and various performance metrics like utilization factor and mean delay time is obtained for a particular period of time. Also, the number of units have been kept at both high and low and based on that the service rate is altered.

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“…Note that the moments of the waiting time distribution are expressed in terms of the factorial moments of the queue length at service initiation epochs of either an ingoing call or an outgoing call. The method used in this paper is based on the analysis of the M/G/1 retrial queue without outgoing calls (Kim and Kim 2011).…”

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confidence: 99%

Analysis of the waiting time distribution in M/G/1 retrial queues with two way communication

Lee

Kim

2020

Ann Oper Res

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We consider an M/G/1 retrial queue in which there are two types of calls: ingoing calls made by regular customers and outgoing calls made by the server in idle time. The service times of ingoing calls and outgoing calls have different arbitrary distributions. In this paper, we are interested in the analysis of the waiting time distribution. We obtain an equation for the joint transform of the number of ingoing calls in the orbit and the waiting time of an arbitrary ingoing call. Using this result, we can obtain the moments of the waiting time distribution of an arbitrary ingoing call. Keywords Retrial queue • Two way communication • Joint transform 1 IntroductionRetrial queues are queuing systems in which arriving customers who find all servers occupied may retry for service again after a random amount of time. Retrial queues have been widely used to model many problems in telephone systems, call centers, telecommunication networks, computer networks and computer systems, as well as in daily life. For an overview regarding retrial queues, refer to the surveys (

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Higher moments of the waiting time distribution in M/G/1 retrial queues

Cited by 9 publications

References 16 publications

Analysis of the $$M^X/G/1$$ M X / G / 1 retrial queue

Analysis of the $$M^X/G/1$$ M X / G / 1 retrial queue

Implementation of Fuzzy Logic for M/M/C Model in Packet Switched Network Using HoL Priority Queue

Analysis of the waiting time distribution in M/G/1 retrial queues with two way communication

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