A multi-server queueing model with locking

A multi-server queueing model with locking

A multi - server queueing model with

In this paper we analyse a multi-server queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks, where each track ooers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance t...

Discrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers‎

This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...

Analysis of a multi-server queueing model of ABR

In this paper we present a queueing model for the performance analysis of ABR tra c in ATM networks. We consider a multi-channel service station with two types of customers, the rst having preemptive priority over the second. The arrivals occur according to two independent Poisson processes and the service times are assumed to be exponentially distributed. Each type-1 customer requires a single...

Scheduling of multi-class multi-server queueing systems with abandonments

Many real-world situations involve queueing systems in which customers may abandon if service does not start sufficiently quickly. We study a comprehensive model of multi-class queue scheduling accounting for customer abandonment, with the objective of minimizing the total discounted or time-average sum of linear waiting costs, completion rewards and abandonment penalties of customers in the sy...