Theoretical Paper
Journal of the Operational Research Society advance online publication 14 May 2008; doi: 10.1057/palgrave.jors.2602595
Analysing steady-state simulation output using vector autoregressive processes with exogenous variables
J Martens1, R Peeters1 and F Put1
1Katholieke Universiteit Leuven, Leuven, Belgium
Correspondence: J Martens, Faculty of Economics and Applied Economics, Katholieke Universiteit Leuven, Naamsestraat 69, 3000 Leuven, Belgium. E-mail: jurgen_martens@skynet.be
Received April 2007; Accepted February 2008; Published online 14 May 2008.
Abstract
A simulation study often requires computation of a point estimate and confidence region for the steady-state mean of a stochastic output process. The literature offers a variety of statistical techniques, including replication/deletion, the batch-means method, and spectrum analysis. We present a new multivariate output-analysis technique that is based on the general autoregressive time-series model with exogenous variables to set up a joint confidence region for the steady-state mean. We demonstrate our technique by an extensive computational experiment, and show that it performs at least as well as other output-analysis techniques, without having some of their drawbacks.
Keywords:
simulation, output analysis, multivariate time-series analysis


