Paper Info
Title
Analysis of Load Balancing in Large Heterogeneous Processor Sharing Systems.
Abstract
We analyze randomized dynamic load balancing schemes for multi-server processor sharing systems when the number of servers in the system is large and the servers have heterogeneous service rates. In particular, we focus on the classical power-of-two load balancing scheme and a variant of it in which a newly arrived job is assigned to the server having the least instantaneous Lagrange shadow cost among two randomly chosen servers. The instantaneous Lagrange shadow cost at a server is given by the ratio of the number of unfinished jobs at the server to the capacity of the server. Two different approaches of analysis are presented for each scheme. For exponential job length distribution, the analysis is done using the mean field approach and for more general job length distributions the analysis is carried out assuming an asymptotic independence property. Analytical expressions to compute mean sojourn time of jobs are found for both schemes. Asymptotic insensitivity of the schemes to the type of job length distribution is established. Numerical results are presented to validate the theoretical results and to show that, unlike the homogeneous scenario, the power-of-two type schemes considered in this paper may not always result in better behaviour in terms of the mean sojourn time of jobs.
Year
Venue
Field
2013
CoRR
Shadow,Mean sojourn time,Exponential function,Expression (mathematics),Asymptotic independence,Computer science,Load balancing (computing),Server,Real-time computing,Processor sharing,Distributed computing
DocType
Volume
Citations 
Journal
abs/1311.5806
8
PageRank 
References 
Authors
0.86
7
2
Name
Order
Citations
PageRank
Arpan Mukhopadhyay1577.92
Ravi Mazumdar21949180.39