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Nonexhaustive Policies in Polling Systems and Vacation Models: Qualitative and Approximate Approach
We consider a polling system which consists of a number of queues attended by a single server. The server switches from one queue to another following a fixed cyclic order. Such a system finds a wide variety of applications ...
A Note on the Comparison between Bernoulli and Limited Policies in Vacation Models
A vacation model is a single-server queueing system where the server occasionally takes a vacation, i.e., becomes unavailable to the customers for a period of time. Under a limited service policy with parameter m, m = ...
Convexity Results for Parallel Queues with Bernoulli Routing
In this note, we derive various convexity and monotonicity properties of performance measures in parallel GI/GI/1 queues with Bernoulli routing. We then use these results to establish that the equilikely assignment is ...