Research Article
Should I Add an Intermittent Server
@INPROCEEDINGS{10.4108/eai.25-10-2016.2266975, author={Raymond MARIE}, title={Should I Add an Intermittent Server}, proceedings={10th EAI International Conference on Performance Evaluation Methodologies and Tools}, publisher={ACM}, proceedings_a={VALUETOOLS}, year={2017}, month={5}, keywords={performance evaluation; response time; markovian model; intermittent server}, doi={10.4108/eai.25-10-2016.2266975} }- Raymond MARIE
Year: 2017
Should I Add an Intermittent Server
VALUETOOLS
ACM
DOI: 10.4108/eai.25-10-2016.2266975
Abstract
This paper concerns the situation of a queue with one regular single server and, in order to decrease the mean response time, with a second server i) leaving the back office to join the first server when the number of customers reaches the threshold K, ii) leaving the front office when he has no more customers to serve. This study produces a closed form solution for the steady state probability distribution and for different metrics such as expected response times for customers or expectation of busy periods. Then, for a given value of K, the influence of the intermittent server on the response time is exhibited. The consequences on the primary task of the intermittent server are investigated through metrics such as mean working and pseudo-idle periods. Finally, a determination of an optimal value of the threshold K is proposed.