Almost sure comparison of birth and death processes with application to M/M/s queueing systems
Queueing Systems: Theory and Applications
Numerical investigation of a multiserver retrial model
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
A retrial BMAP/SM/1 system with linear repeated requests
Queueing Systems: Theory and Applications
Ergodicity of the BMAP/PH}/s/s+K retrial queue with PH-retrial times
Queueing Systems: Theory and Applications
The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue
Queueing Systems: Theory and Applications
Analysis of Markov Multiserver Retrial Queues with Negative Arrivals
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
A Multi-Server Retrial Queue with BMAP Arrivals and Group Services
Queueing Systems: Theory and Applications
A QUEUE WITH POSITIVE AND NEGATIVE ARRIVALS GOVERNED BY A MARKOV CHAIN
Probability in the Engineering and Informational Sciences
Single server retrial queues with priority calls
Mathematical and Computer Modelling: An International Journal
A queueing network model with catastrophes and product form solution
Operations Research Letters
BMAP/G/1 queue with correlated arrivals of customers and disasters
Operations Research Letters
An initiative for a classified bibliography on G-networks
Performance Evaluation
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
Generalized survivability analysis of systems with propagated failures
Computers & Mathematics with Applications
Energy-delay tradeoff in a two-way relay with network coding
Performance Evaluation
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We consider a multi-server retrial queue with waiting places in service area and four types of arrivals, positive customers, disasters and two types of negative customers, one for deleting customers in orbit and the other for deleting customers in service area. The four types of arrivals occur according to a Markovian arrival process with marked transitions (MMAP) which may induce the dependence among the arrival processes of the four types.We derive a necessary and sufficient condition for the system to be positive recurrent by comparing sample paths of auxiliary systems whose stability conditions can be obtained. We use a generalized truncated system that is obtained by modifying the retrial rates for an approximation of stationary queue length distribution and show the convergence of approximation to the original model. An algorithmic solution for the stationary queue length distribution and some numerical results are presented.