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An approximate analysis of load balancing using stale state information for servers in parallel

Cao, Jianhua LU and Nyberg, Christian LU (2003) In Proceedings of the Second IASTED International Conference on Communications, Internet, and Information Technology : November 17 - 19, 2003, Scottsdale, AZ, USA
Abstract
That a load balancing strategy using stale information care lessly will incur system performance degradation is easy to verify. However it is not so obvious that routing a customer to the expected shortest queue has the same problem when information for decision is stale. We consider a queueing system with a load balancer and a pool of identical FCFS queues in parallel. The arrival process is assumed to be Poisson and the service times have identical independent exponential distributions. The pool of servers informs the load balancer the number of customers in each server at some regularly spaced time instances. The load balancer routes each customer to the expected shortest queue based on available stale information and elapsed time since... (More)
That a load balancing strategy using stale information care lessly will incur system performance degradation is easy to verify. However it is not so obvious that routing a customer to the expected shortest queue has the same problem when information for decision is stale. We consider a queueing system with a load balancer and a pool of identical FCFS queues in parallel. The arrival process is assumed to be Poisson and the service times have identical independent exponential distributions. The pool of servers informs the load balancer the number of customers in each server at some regularly spaced time instances. The load balancer routes each customer to the expected shortest queue based on available stale information and elapsed time since the last time instance of system sate information updating. The system performance analysis of this type of model is usu ally difficult because the involved state space is very large. However when taking the number of servers to the infinite limit, we have a set of differential equations which is easier to handle than the finite case. Using the approximation of infinite number of severs, we show that the average wait ing time for the system is not always minimized by routing each customer to the expected shortest queue when infor mation for decision is stale. (Less)
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author
organization
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type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of the Second IASTED International Conference on Communications, Internet, and Information Technology : November 17 - 19, 2003, Scottsdale, AZ, USA
editor
Hamza, M.H. and
publisher
ACTA Press
external identifiers
  • scopus:1542538750
ISBN
0-88986-398-9
language
English
LU publication?
yes
id
1aeab9e3-e98d-4954-87e2-fc2f66782c63 (old id 532446)
date added to LUP
2007-09-13 13:21:22
date last changed
2017-02-19 04:28:05
@inproceedings{1aeab9e3-e98d-4954-87e2-fc2f66782c63,
  abstract     = {That a load balancing strategy using stale information care lessly will incur system performance degradation is easy to verify. However it is not so obvious that routing a customer to the expected shortest queue has the same problem when information for decision is stale. We consider a queueing system with a load balancer and a pool of identical FCFS queues in parallel. The arrival process is assumed to be Poisson and the service times have identical independent exponential distributions. The pool of servers informs the load balancer the number of customers in each server at some regularly spaced time instances. The load balancer routes each customer to the expected shortest queue based on available stale information and elapsed time since the last time instance of system sate information updating. The system performance analysis of this type of model is usu ally difficult because the involved state space is very large. However when taking the number of servers to the infinite limit, we have a set of differential equations which is easier to handle than the finite case. Using the approximation of infinite number of severs, we show that the average wait ing time for the system is not always minimized by routing each customer to the expected shortest queue when infor mation for decision is stale.},
  author       = {Cao, Jianhua and Nyberg, Christian},
  booktitle    = {Proceedings of the Second IASTED International Conference on Communications, Internet, and Information Technology : November 17 - 19, 2003, Scottsdale, AZ, USA},
  editor       = {Hamza, M.H.},
  isbn         = {0-88986-398-9},
  language     = {eng},
  publisher    = {ACTA Press},
  title        = {An approximate analysis of load balancing using stale state information for servers in parallel},
  year         = {2003},
}