ACM Computing Surveys (CSUR) - The MIT Press scientific computation series
Queueing systems with state dependent parameters
Frontiers in queueing
IEEE Journal on Selected Areas in Communications
Models for Analysis of Packet Voice Communications Systems
IEEE Journal on Selected Areas in Communications
Recursive solution to a quorum queueing system
Mathematical and Computer Modelling: An International Journal
Hi-index | 0.98 |
A quorum queueing system is considered here. It is assumed that the server activation is triggered only if the queue size is larger than or equal to r. Furthermore, after a service completion, if the queue size is less than r the server is assumed to wait for the queue to be filled. Once the queue reaches r, a random sample of customers, drawn from the sample space {1,2,h.,r}, is taken for service. A Markov formulation of the system observed at service completions is presented. Then, the matrix analytic method developed by Neuts is used to solve for the steady state probabilities of the number of customers in the system. The performance of the system is then studied under various operational conditions, some illustrative examples are provided, and conclusions are presented.