A statistical process control approach for estimating the warm-up period

One means for dealing with initialization bias in simulation experiments is to implement a warm-up period. This requires the correct estimation of the initial transient. A new method for determining the warm-up period, based upon the principles of statistical process control (SPC), is described. The method is tested on empirical data from a simulation model that has been used in a real-life study. In comparing the results to those from two commonly used warm-up methods, it appears that the SPC method performs well. The strengths and weaknesses of the approach are discussed.

[1]  Wolfgang Kreutzer,et al.  System simulation , 1986 .

[2]  Lee W. Schruben,et al.  Detecting Initialization Bias in Simulation Output , 1982, Oper. Res..

[3]  Averill M. Law,et al.  A new approach for dealing with the startup problem in discrete event simulation , 1983 .

[4]  G. S. Fishman Grouping Observations in Digital Simulation , 1978 .

[5]  J. Banks,et al.  Discrete-Event System Simulation , 1995 .

[6]  Paul T. Jackway,et al.  A Methodology for Initialisation Bias Reduction in Computer Simulation Output , 1992 .

[7]  K. Preston White,et al.  An Effective Truncation Heuristic for Bias Reduction in Simulation Output , 1997, Simul..

[8]  George Vassilacopoulos Testing for initialization bias in simulation output , 1989, Simul..

[9]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[10]  Lee W. Schruben,et al.  Optimal Tests for Initialization Bias in Simulation Output , 1983, Oper. Res..

[11]  J. J. Swain,et al.  Tests for transient means in simulated time series , 1994 .

[12]  Krzysztof Pawlikowski,et al.  Steady-state simulation of queueing processes: survey of problems and solutions , 1990, CSUR.

[13]  Emily Roth The relaxation time heuristic for the initial transient problem in M/M/k queueing systems , 1994 .

[14]  Vlatka Hlupic,et al.  Successful Simulation: A Practical Approach to Simulation Projects , 1995 .

[15]  James R. Wilson,et al.  A survey of research on the simulation startup problem , 1978 .

[16]  George S. Fishman,et al.  Estimating Sample Size in Computing Simulation Experiments , 1971 .

[17]  Neville Davies 3. Statistical Methods for Spc and Tqm , 1995 .

[18]  George C. Runger,et al.  Batch-means control charts for autocorrelated data , 1996 .

[19]  Bart L. MacCarthy,et al.  Statistical process control for monitoring scheduling performance—addressing the problem of correlated data , 2001, J. Oper. Res. Soc..

[20]  Enver Yücesan,et al.  Randomization tests for initialization bias in simulation output , 1993 .

[21]  C. J. Ancker,et al.  Evaluation of commonly used rules for detecting “steady state” in computer simulation , 1978 .

[22]  George S. Fishman,et al.  Solution of Large Networks by Matrix Methods , 1976, IEEE Transactions on Systems, Man, and Cybernetics.