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Polling systems with correlated arrivals

Hanoch Levy, M. Sidi

Open publisher page 16 citations

Abstract

An analysis is made of polling systems with correlated arrivals, namely, systems in which the arrival processes of customers to the queues are not assumed to be independent. The authors consider cyclic polling systems with N queues, general service time distribution in each queue, and general switch-over times. For both the exhaustive and the gated service disciplines they derive the necessary equations for computing the N expected waiting time figures. A 'pseudo' conservation law for these systems is also derived. The analysis approach can be applied to other polling systems with correlated arrivals.>

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What this paper is about

An analysis is made of polling systems with correlated arrivals, namely, systems in which the arrival processes of customers to the queues are not assumed to be independent. The authors consider cyclic polling systems with N queues, general service time distribution in each queue, and general switch-over times. For both the exhaustive and the gated service disciplines they derive the necessary equations for computing the N expected waiting time figures. A 'pseudo' conservation law for these systems is also derived. The analysis approach can be applied to other polling systems with correlated arrivals.>

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An analysis is made of polling systems with correlated arrivals, namely, systems in which the arrival processes of customers to the queues are not assumed to be independent. The authors consider cyclic polling systems with N queues, general service time distribution in each queue, and general switch-over times. For both the exhaustive and the gated service disciplines they derive the necessary equations for computing the N expected waiting time figures. A 'pseudo' conservation law for these systems is also derived. The analysis approach can be applied to other polling systems with correlated arrivals.>

Key concepts: Polling, Polling system, Queue, Computer science, Service (business), Queueing theory, Computer network, Economics

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