Approximations and optimal control for state-dependent limited processor sharing queues
V Gupta, J Zhang - arXiv preprint arXiv:1409.0153, 2014 - arxiv.org
The paper studies approximations and control of a processor sharing (PS) server where the
service rate depends on the number of jobs occupying the server. The control of such a
system is implemented by imposing a limit on the number of jobs that can share the server
concurrently, with the rest of the jobs waiting in a first-in-first-out (FIFO) buffer. A desirable
control scheme should strike the right balance between efficiency (operating at a high
service rate) and parallelism (preventing small jobs from getting stuck behind large ones) …
service rate depends on the number of jobs occupying the server. The control of such a
system is implemented by imposing a limit on the number of jobs that can share the server
concurrently, with the rest of the jobs waiting in a first-in-first-out (FIFO) buffer. A desirable
control scheme should strike the right balance between efficiency (operating at a high
service rate) and parallelism (preventing small jobs from getting stuck behind large ones) …
Approximations and optimal control for state-dependent limited processor sharing queues
The paper studies approximations and control of a processor sharing (PS) server where the
service rate depends on the number of jobs occupying the server. The control of such a
system is implemented by imposing a limit on the number of jobs that can share the server
concurrently, with the rest of the jobs waiting in a first-in-first-out (FIFO) buffer. A desirable
control scheme should strike the right balance between efficiency (operating at a high
service rate) and parallelism (preventing small jobs from getting stuck behind large ones) …
service rate depends on the number of jobs occupying the server. The control of such a
system is implemented by imposing a limit on the number of jobs that can share the server
concurrently, with the rest of the jobs waiting in a first-in-first-out (FIFO) buffer. A desirable
control scheme should strike the right balance between efficiency (operating at a high
service rate) and parallelism (preventing small jobs from getting stuck behind large ones) …
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