A class of discrete time GI/D/k systems is considered for which the interarrival times have finite support and customers are served in first-in first-out FIFO order. The system is formulated as a single server queue with new general independent interarrival times and constant service duration by assuming cyclic assignment of customers to the identical servers. Then the queue length is set up as...

Multimedia-on-demand (MOD) has grown dramatically in popularity, especially in the domains of education, business, and entertainment. Therefore, the investigation of various alternatives to improve the performance of MOD servers has become a major research focus. The performance of these servers can be enhanced significantly by servicing multiple requests from a common set of resources. The exp...

Certain technological applications use queuing systems where the service time of entering entities cannot take any value, it can only be a multiple of a certain cycle-time. As examples of this, one can mention the landing of aeroplanes and the optical buffers of internet networks. Servicing an entering customer can be started immediately, or, if the server is busy, or there are waiting customer...

We consider a system consisting of a server serving in sequence a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queuing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. The waitin...