Theoretical Paper
Journal of the Operational Research Society advance online publication 28 October 2009; doi: 10.1057/jors.2009.121
Automated selection of the number of replications for a discrete-event simulation
K Hoad1, S Robinson1 and R Davies1
1Warwick Business School, University of Warwick, Coventry, UK
Correspondence: K Hoad, ORMS Group, Warwick Business School, University of Warwick, Coventry, CV4 7AL, UK. E-mail: kathryn.hoad@wbs.ac.uk
Received October 2008; Accepted August 2009; Published online 28 October 2009.
Abstract
Selecting an appropriate number of replications to run with a simulation model is important in assuring that the desired accuracy and precision of the results are attained with minimal effort. If too few are selected then accuracy and precision are lost; if too many are selected then valuable time is wasted. Given that simulation is often used by non-specialists, it seems important to provide guidance on the number of replications required with a model. In this paper an algorithm for automatically selecting the number of replications is described. Test results show the algorithm to be effective in obtaining coverage of the expected mean at a given level of precision and in reducing the bias in the estimate of the mean of the simulation output. The algorithm is consistent in selecting the expected number of replications required for a model output.
Keywords:
discrete-event simulation, number of replications, confidence interval




