Title :
Control variates for stochastic network simulation
Author :
Avramidis, Thanos N. ; Wilson, James R.
Author_Institution :
Sch. of Ind. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
Examines procedures for using path control variates to improve the accuracy of simulation-based point and confidence-interval estimators of the mean completion time of a stochastic activity networks (SAN). Because each path control variate is the duration of the corresponding directed path in the network from the source to the sink, the vector of selected path controls has a known mean and a known covariance matrix. This information is incorporated into control-variate estimation procedures that do not require normally distributed responses. The simulation-generated observations are split into three groups, and control-variate procedures, applied within each group, are combined in such a way that the overall point estimator and the associated variance estimator are always unbiased. The performance of these procedures is evaluated experimentally. In comparison to standard linear control-variate procedures, the proposed procedures can yield substantial improvements in point-estimator accuracy and confidence-interval coverage while achieving almost the same magnitude of variance reduction
Keywords :
control system analysis; estimation theory; simulation; statistics; stochastic systems; accuracy; confidence-interval estimators; covariance matrix; mean completion time; path control variates; point estimator; stochastic activity networks; stochastic network simulation; variance estimator; variance reduction; Computational modeling; Covariance matrix; Industrial engineering; Job shop scheduling; Large-scale systems; Mean square error methods; Sampling methods; Stochastic processes; Storage area networks; Yield estimation;
Conference_Titel :
Simulation Conference, 1990. Proceedings., Winter
Conference_Location :
New Orleans, LA
Print_ISBN :
0-911801-72-3
DOI :
10.1109/WSC.1990.129535