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ABSTRACT
This paper reviews statistical methods for analyzing output data from computer simulations of single systems. In particular, it focuses on the estimation of steady-state system parameters. The estimation techniques include the replication/deletion approach, the regenerative method, the batch means method, and the standardized time series method.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
|
Alexopoulos, C., and A. F. Seila. 1998. Output data analysis. In Handbook of Simulation, ed. J. Banks, Chapter 7, New York: John Wiley & Sons.
|
| |
2
|
Christos Alexopoulos , George S. Fishman , Andrew F. Seila, Computational experience with the batch means method, Proceedings of the 29th conference on Winter simulation, p.194-201, December 07-10, 1997, Atlanta, Georgia, United States
[doi> 10.1145/268437.268477]
|
| |
3
|
Billingsley, P. 1968. Convergence of probability measures, Wiley, New York.
|
| |
4
|
|
| |
5
|
Chance, F., and L. W. Schruben. 1992. Establishing a truncation point in simulation output. Technical Report, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York.
|
| |
6
|
Charnes, J. M. 1989. Statistical analysis of multivariate discrete-event simulation output. Ph.D. Thesis, Department of Operations and Management Science, University of Minnesota, Minneapolis, Minnesota.
|
| |
7
|
|
| |
8
|
|
 |
9
|
|
| |
10
|
Chien, C.-H. 1989. Small sample theory for steady state confidence intervals. Technical Report No. 37, Department of Operations Research, Stanford University, Palo Alto, California.
|
| |
11
|
|
| |
12
|
Chow, Y. S., and H. Robbins. 1965. On the asymptotic theory of fixed-width sequential confidence intervals for the mean. Annals of Mathematical Statistics 36:457-462.
|
| |
13
|
Conway, R. W. 1963. Some tactical problems in digital simulation. Management Science 10:47-61.
|
 |
14
|
|
 |
15
|
|
| |
16
|
Crane, M. A., and D. L. Iglehart. 1975. Simulating stable stochastic systems III: Regenerative processes and discrete-event simulations. Operations Research 23:33-45.
|
| |
17
|
|
| |
18
|
Fishman, G. S. 1973. Statistical analysis for queueing simulations. Management Science 20:363-369.
|
| |
19
|
Fishman, G. S. 1974. Estimation of multiserver queueing simulations. Operations Research 22:72-78.
|
| |
20
|
|
| |
21
|
Fishman, G. S. 1996. Monte Carlo: Concepts, algorithms, and applications. New York: Springer Verlag.
|
| |
22
|
Fishman, G. S. 2000. Private communication.
|
| |
23
|
Fishman, G. S., and L. S. Yarberry. 1997. An implementation of the batch means method. INFORMS Journal on Computing 9:296-310.
|
| |
24
|
Gafarian, A. V., C. J. Ancker, and F. Morisaku. 1978. Evaluation of commonly used rules for detecting steady-state in computer simulation. Naval Research Logistics Quarterly 25:511-529.
|
| |
25
|
|
| |
26
|
|
| |
27
|
Goldsman, D., and L. W. Schruben. 1984. Asymptotic properties of some confidence interval estimators for simulation output. Management Science 30:1217-1225.
|
| |
28
|
|
| |
29
|
Goldsman, D., L. W. Schruben, and J. J. Swain. 1994. Tests for transient means in simulated time series. Naval Research Logistics 41:171-187.
|
| |
30
|
Heidelberger, P., and P. A. W. Lewis. 1984. Quantile estimation in dependent sequences. Operations Research 32:185-209.
|
 |
31
|
|
| |
32
|
Iglehart, D. L. 1975. Simulating stable stochastic systems, V: Comparison of ratio estimators. Naval Research Logistics Quarterly 22:553-565.
|
 |
33
|
|
| |
34
|
Iglehart, D. L. 1978. The regenerative method for simulation analysis. In Current Trends in Programming Methodology, Vol. III, eds. K. M. Chandy, and K. M. Yeh, 52-71. Prentice-Hall, Englewood Cliffs, New Jersey.
|
| |
35
|
Kelton, W. D. 1989. Random initialization methods in simulation. IIE Transactions 21:355-367.
|
| |
36
|
Law, A. M., and J. S. Carson. 1979. A sequential procedure for determining the length of a steady-state simulation. Operations Research 27:1011-1025.
|
| |
37
|
|
| |
38
|
Mechanic, H., and W. McKay. 1966. Confidence intervals for averages of dependent data in simulations II. Technical Report ASDD 17-202, IBM Corporation, Yorktown Heights, New York.
|
| |
39
|
|
| |
40
|
Moore, L. W. 1980. Quantile estimation in regenerative processes. Ph.D. Thesis, Curriculum in Operations Research and Systems Analysis, University of North Carolina, Chapel Hill, North Carolina.
|
| |
41
|
Nadas, A. 1969. An extension of the theorem of Chow and Robbins on sequential confidence intervals for the mean. Annals of Mathematical Statistics 40:667-671.
|
| |
42
|
Ockerman, D. H. 1995. Initialization bias tests for stationary stochastic processes based upon standardized time series techniques. Ph.D. Thesis, School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia.
|
| |
43
|
|
| |
44
|
|
| |
45
|
Schmeiser, B. W. 1982. Batch size effects in the analysis of simulation output. Operations Research 30:556-568.
|
| |
46
|
|
| |
47
|
Schruben, L. W. 1982. Detecting initialization bias in simulation output. Operations Research 30:569-590.
|
| |
48
|
Schruben, L. W. 1983. Confidence interval estimation using standardized time series. Operations Research 31:1090-1108.
|
| |
49
|
Schruben, L. W., H. Singh, and L. Tierney. 1983. Optimal tests for initialization bias in simulation output. Operations Research 31:1167-1178.
|
| |
50
|
Seila, A. F. 1982a. A batching approach to quantile estimation in regenerative simulations. Management Science 28:573-581.
|
| |
51
|
Seila, A. F. 1982b. Percentile estimation in discrete event simulation. Simulation 39:193-200.
|
| |
52
|
|
| |
53
|
von Neumann, J. 1941a. The mean square difference. Annals of Mathematical Statistics 12:153-162.
|
| |
54
|
von Neumann, J. 1941b. Distribution of the ratio of the mean square successive difference and the variance. Annals of Mathematical Statistics 12:367-395.
|
| |
55
|
Welch, P. D. 1983. The statistical analysis of simulation results. In The computer performance modeling handbook, ed. S. Lavenberg, 268-328. New York: Academic Press.
|
 |
56
|
|
| |
57
|
Wilson, J. R., and A. A. B. Pritsker. 1978a. A survey of research on the simulation startup problem. Simulation 31:55-58.
|
| |
58
|
Wilson, J. R., and A. A. B. Pritsker. 1978b. Evaluation of startup policies in simulation experiments. Simulation 31:79-89.
|
| |
59
|
Yarberry, L. S. 1993. Incorporating a dynamic batch size selection mechanism in a fixed-sample-size batch means procedure. Ph.D. dissertation, Department of Operations Research, University of North Carolina, Chapel Hill, North Carolina.
|
| |
60
|
Young, L. C. 1941. On randomness of order sequences. Annals of Mathematical Statistics 12:293-300.
|
|