Spelling suggestions: "subject:"simulationlation methods -- 2analysis"" "subject:"simulationlation methods -- 3analysis""
1 |
Truncation rules in simulation analysis : effect of batch size, time scale and input distribution on the application of Schriber's ruleBaxter, Lori K. 04 June 1990 (has links)
The objective of many simulations is to study the
steady-state behavior of a nonterminating system. The
initial conditions of the system are often atypical because
of the complexity of the system. Simulators often start
the simulation with the system empty and idle, and
truncate, or delete, some quantity of the initial
observations to reduce the initialization bias.
This paper studies the application of Schriber's
truncation rule to a queueing model, and the effects of
parameter selection. Schriber's rule requires the
simulator to select the parameters of batch size, number of
batches, and a measure of precision. In addition,
Schriber's rule assumes the output is a time series of
discrete observations. Previous studies of Schriber's rule
have not considered the effect of variation in the time
scale (time between observations).
The performance measures for comparison are the mean
squared error and the half-length of the confidence
interval. The results indicate that the time scale and
batch size are significant parameters, and that the number
of batches has little effect on the output. A change in
the distribution of service time did not alter the results.
In addition, it was determined that multiple replicates
should be used in establishing the truncation point instead
of a single run, and the simulator should carefully
consider the choice of time scale for the output series and
the batch size. / Graduation date: 1991
|
2 |
Steady-state analysis in simulation : an application of Schriber's truncation rule to complex queueing systemsSaleh, Budiman 12 December 1991 (has links)
The objective of many steady-state simulations is to
study the behavior of a nonterminating system with a peak load
of infinite duration. Due to the complexity of the system, the
initial conditions of the system are often atypical that often
requires the simulators to start the system with the empty and
idle conditions. Consequently, deletion of some initial
observations is required to reduce the initialization bias
induced by atypical initial conditions.
This paper studies the application of Schriber's
truncation rule to the complex queueing systems (specifically,
the two-machine and three-machine tandem queueing system) and
the effects of parameter selection (i.e. parameters batch size
and time between observations) on performance measures. Based
on the previous studies of Schriber's rule on the one-machine
system, parameters batch count and tolerance are held
constant.
Mean-squared error and half length are used as measures
of accuracy and interval precision in comparing the results.
The results of both systems show that time between
observations and batch size are significant parameters, and
the recommendations for the two-machine system can be
generalized for the three-machine system. Increasing the
number of machines in the system from two to three requires a
careful reduction in the value of time between observations.
Besides, multiple replications should be used to minimize the
extreme results in determining the steady-state mean number of
entities and the truncation point. / Graduation date: 1992
|
Page generated in 0.1052 seconds