An optimal design problem for limited processor sharing systems

Article Abstract:

A computer processor-sharing service system optimal design problem is considered. The number of users served simultaneously is constrained to a fixed number called multiplicity. The decision variable equals multiplicity, and the optimal criterion is to reduce the mean number of system customers, or alternatively, to cut the mean sojourn time for a customer. It is demonstrated that the processor-sharing discipline with any multiplicity improves system performance if a service-requirement distribution is a new-worse-than-used type. Performance is shown to deteriorate when the distribution type is Erlangian.

Prepackaged software, Analysis, Management, Virtual computer systems, Virtual machines, Time-sharing computer systems, Time sharing computer systems

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Reversibility of tandem blocking queueing systems

Article Abstract:

A queue containing several service providers in a series, with each service provider consisting of multi-servers, is modeled for an infinite number of service requestors, each of which must queue at the first service provider station prior to service processing through every station in a set sequence. The model is tested for reversibility, where reversibility is defined as having the same invariant capacity within the model upon its reversal. The reversibility analysis shows that two-station blocking systems are C-reversible as long as the multi-server stations have nondeterministic service times.

Models, Scheduling (Management), Production control

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On optimal arrangement of stations in a tandem queueing system with blocking

Article Abstract:

Two rules governing the arrangement of stations in a tandem queuing system to ensure that throughput is maximized are provided. The first rule involves placing the two worst stations in the first and last stages. This first rule almost always results in the optimal arrangement of stations. The second rule involves the arrangement of the other stations in accordance to the bowl phenomenon. The second rule, however, does not always correspond with the optimal arrangement.

Stochastic processes

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