Deterministic analysis of queueing systems with heterogeneous servers
نویسندگان
چکیده
منابع مشابه
Deterministic Analysis of Queueing Systems with Heterogeneous Servers
Using deterministic (sample-path) analysis, we generalize and extend fundamental properties of systems with “stationary deterministic flows” as introduced by Gelenbe (1983) and Gelenbe and Finkel (1987). Primarily, we provide conditions for stability and instability for general queueing models, and focus attention on multichannel queueing systems with servers that work at different rates. Stabi...
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Many real-life phenomena, such as computer systems, communication networks, manufacturing systems, supermarket checkout lines as well as structural military systems can be represented by means of queueing models. Looking at queueing models, a controller may considerably improve the system’s performance by reducing queue lengths, or increasing the throughput, or diminishing the overhead, whereas...
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We consider tandem lines with finite buffers and flexible, heterogeneous servers who are synergistic in that they work more effectively in teams than on their own. Our objective is to determine how the servers should be assigned dynamically to tasks in order to maximize the long-run average throughput. In particular, we investigate when it is better to take advantage of synergy among servers, r...
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The problem of optimal jobs assignment to heterogeneous servers arises in many applications. The problem of optimal jobs assignment for two heterogeneous servers with respect to minimization of long run average mean number jobs in the system was considered in [1], where it was shown that the policy, which minimizes the number of customers in the system, has a threshold property and consists in ...
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We study the problem of optimally controlling a three server queueing system. Arriving customers join a single queue, which is served by three servers, 8 1 , 52 and 53. The servers are exponential, but of different rates. The total expected time a customer spends in the system is to be minimized. We show that the optimal policy can be characterized by three thresholds, m3,mb and mi, such that: ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1992
ISSN: 0304-3975
DOI: 10.1016/0304-3975(92)90251-a