Analysis of a cutoff priority cellular radio system with finite queueing and reneging/dropping
IEEE/ACM Transactions on Networking (TON)
On the Solution of a Nonlinear Matrix Equation arising in Queueing Problems
SIAM Journal on Matrix Analysis and Applications
A perishable inventory system with service facilities and retrial customers
Computers and Industrial Engineering
Computers and Industrial Engineering
A discrete-time retrial queue with negative customers and unreliable server
Computers and Industrial Engineering
Modified vacation policy for M/G/1 retrial queue with balking and feedback
Computers and Industrial Engineering
Computers and Industrial Engineering
Cellular mobile networks with repeated calls operating in random environment
Computers and Operations Research
A discrete-time retrial queueing system with recurrent customers
Computers and Operations Research
On tandem blocking queues with a common retrial queue
Computers and Operations Research
A repairable queueing model with two-phase service, start-up times and retrial customers
Computers and Operations Research
An efficient solution to a retrial queue for the performability evaluation of DHCP
Computers and Operations Research
On the applicability of the number of collisions in p-persistent CSMA/CD protocols
Computers and Operations Research
A tandem retrial queueing system with two Markovian flows and reservation of channels
Computers and Operations Research
PCS networks with correlated arrival process and retrial phenomenon
IEEE Transactions on Wireless Communications
Accessible bibliography on retrial queues: Progress in 2000-2009
Mathematical and Computer Modelling: An International Journal
Homogeneous finite-source retrial queues with server subject to breakdowns and repairs
Mathematical and Computer Modelling: An International Journal
Modeling of customer retrial phenomenon in cellular mobile networks
IEEE Journal on Selected Areas in Communications
An algorithmic approach for analysis of finite-source retrial systems with unreliable servers
Computers & Mathematics with Applications
A new queueing model for spectrum renting in mobile cellular networks
Computer Communications
An enhanced algorithm to solve multiserver retrial queueing systems with impatient customers
Computers and Industrial Engineering
Computers and Electrical Engineering
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Retrial queueing models have been applied to evaluate the impact of new and handover calls on the call control mechanisms of cellular mobile networks. The fact that the retrial rate depends on the number of retried calls waiting in the system leads to an analytically intractable model. Therefore, approximation procedures should be used to compute the performability of the system. However, there exists a numerical problem concerning a recursive algorithm to compute the stationary probabilities for retrial queues modeling guard channels. Namely, the consideration of guard channels leads to calculations with negative terms in the recursive algorithm. Negative terms and extremely small values involved in the computation are the main causes for a numerical instability in the recursive algorithm. We construct a new numerically stable and efficient algorithm to solve the problem. Moreover, we prove that the distribution of the number of calls in the orbit is the ''mixture'' of geometric distributions in the presence of the guard channel concept. In a case study we compare the numerical behavior of the existing methods and the proposed approach with the simulation as well. Numerical results show that our algorithm can tackle the problem of large number of channels, very efficiently.