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Randomized routing schemes for large processor sharing systems with multiple service rates
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Mukhopadhyay, Arpan and Mazumdar, Ravi R. (2014) Randomized routing schemes for large processor sharing systems with multiple service rates. In: SIGMETRICS 2014 : The 2014 ACM international conference on Measurement and modeling of computer systems, Austin, Texas, USA, 16-20 Jun 2014 pp. 555-556. doi:10.1145/2591971.2592015
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Official URL: https://doi.org/10.1145/2591971.2592015
Abstract
We consider randomized job routing techniques for a system consisting of a large number of parallel processor sharing servers with heterogeneous server speeds. In particular, a scheme, that routes an incoming job request to the server providing the highest instantaneous processing rate per job among two servers, chosen uniformly at random, is proposed. We show that, unlike the homogeneous case, in the heterogeneous case, such randomized dynamic schemes need not always perform better than the optimal static scheme (in which jobs are assigned to servers with fixed probabilities independent of server states) in terms of reducing the mean response time of jobs. Specifically, we show that the stability region under the proposed scheme is a subset of that under the optimal static routing scheme. We also obtain the stationary tail distribution of server occupancies for the proposed scheme in the limit as the system size grows to infinity. This distribution has been shown to be insensitive to job length distribution and decay super-exponentially.
| Item Type: | Conference Item (Poster) | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Publisher: | ACM | ||||
| Official Date: | 1 April 2014 | ||||
| Dates: |
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| Page Range: | pp. 555-556 | ||||
| DOI: | 10.1145/2591971.2592015 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Conference Paper Type: | Poster | ||||
| Title of Event: | SIGMETRICS 2014 : The 2014 ACM international conference on Measurement and modeling of computer systems | ||||
| Type of Event: | Conference | ||||
| Location of Event: | Austin, Texas, USA | ||||
| Date(s) of Event: | 16-20 Jun 2014 | ||||
| Related URLs: |
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