Principles of Discrete Event Simulation
Principles of Discrete Event Simulation
System Simulation
Time Series Analysis, Forecasting and Control
Time Series Analysis, Forecasting and Control
Steady-state simulation of queueing processes: survey of problems and solutions
ACM Computing Surveys (CSUR)
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In many situations, the simulator finds himself faced with the problem of simulating a time series whose initial state is different from the state of the system after a large number of observations have been made. This is frequently referred to as the problem of the initial bias or the initial tranient problem. In this paper, we borrow from the theory of convergence in distribution to develop a criterion for convergence to a steady state process and then develop estimation techniques based on simple linear regression to determine when the time series under investigation has converged to a steady state process.