On stabilizability of fluid multi-server polling systems with setups
نویسندگان
چکیده
منابع مشابه
On polling systems with large setups
Polling systems with large deterministic setup times find many applications in production environments. The present note studies the delay distribution in exhaustive polling systems when the setup times tend to infinity. Based on the recently proposed mean value analysis (MVA) for polling systems, a novel simple approach is developed to show that the scaled delay distribution converges to a uni...
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We consider a multi-server polling system with server limits, that is the number of servers that can attend a queue simultaneously is limited. Stability conditions are available when service policies are unlimited. The definition of stability conditions when both server limits and limited service policies apply remains an open problem. We postulate a conjecture for the stability condition in th...
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We study N-queues single-server fluid polling systems, where a fluid is continuously flowing into the queues at queue-dependent rates. When visiting and serving a queue, the server reduces the amount of fluid in that queue at a queue-dependent rate. Switching from queue i to queue j requires two random-duration steps: (i) departing queue i, and (ii) reaching queue j. The length of time the serv...
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A multi-server polling model is a queueing model where many order classes share a set of identical servers and a setup time is incurred whenever a server changes class. This paper develops approximations for the waiting time distribution in a multi-server polling model with cyclic serve-to-exhaustion service. These approximations are derived using previously established heavy-traac results and ...
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Polling models are used as an analytical performance tool in several application areas. In these models, the focus often is on controlling the operation of the server as to optimize some performance measure. For several applications, controlling the server is not an issue as the server moves independently in the system. We present the analysis for such a polling model with a so-called autonomou...
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ژورنال
عنوان ژورنال: Cybernetics and Physics
سال: 2018
ISSN: 2226-4116,2223-7038
DOI: 10.35470/2226-4116-2018-7-1-26-34