Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
A single-server G-queue in discrete-time with geometrical arrival and service process
Performance Evaluation
Transient analysis of a single server queue with catastrophes, failures and repairs
Queueing Systems: Theory and Applications
Computers and Industrial Engineering
A discrete-time retrial queue with negative customers and unreliable server
Computers and Industrial Engineering
Computers and Industrial Engineering
A queueing system with negative claims and a bunker for superseded claims in discrete time
Automation and Remote Control
An initiative for a classified bibliography on G-networks
Performance Evaluation
A discrete-time on-off source queueing system with negative customers
Computers and Industrial Engineering
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
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The arrival of a negative customer to a queueing system causes one ordinary customer to be removed (or killed) if any is present, The arrival of a disaster, on the other hand, kills all the customers in the system if any. In this paper, we extend the queueing theory on negative arrivals and disasters to the discrete-time Geo/Geo/1 queueing system. Specifically, we find the ergodicity condition and give explicit formulae for the stationary distribution. We also provide some numerical results to illustrate the effect of the parameters on several performance characteristics.