Applying variance reduction ideas in queuing simulations

Probability in the Engineering and Informational Sciences

Volumn 15, Issue 4, 2001, Pages 481-494

  Ross, Sheldon M ^a   Lin, Kyle Y ^b  

^a DEPARTMENT OF INDUSTRIAL ENGINEERING AND OPERATIONS RESEARCH   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

QUEUEING THEORY;

CONDITIONAL EXPECTATION; CONTROL VARIATES; EXPECTED VALUES; QUEUING SIMULATION; SIMULATION STUDIES; STRATIFIED SAMPLING; VARIANCE REDUCTION TECHNIQUES; VARIANCE REDUCTIONS;

RANDOM VARIABLES;

EID: 0035594779     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0269964801154045     Document Type: Article

References (14)

1. Avramidis, A.N. & Wilson, J.R. (1996). Integrated variance reduction strategies for simulation. Operations Research 44: 327-346.
2. Fishman, G.S. (1989). Monte Carlo, control variate, and stochastic ordering. SIAM Journal on Scientific and Statistical Computing 10: 187-204.
3. Glynn, P.W. & Iglehart, D.L. (1988). Simulation methods for queues: An overview. Queueing Systems 3: 221-256.
4. Lavenberg, S.S., Moeller, T.L., & Welch, P.D. (1982). Statistical results on control variables with application to queueing network simulation. Operations Research 30: 182-202.
5. Lavenberg, S.S. & Welch, P.D. (1981). A perspective on the use of control variables to increase the efficiency of Monte Carlo simulations. Management Science 27: 322-335.
6. McGeoch, C. (1992). Analyzing algorithms by simulation: Variance reduction techniques and simulation speedups. ACM Computing Surveys 24(2): 195-212.
7. Nelson, B.L. (1990). Control variate remedies. Operations Research 38: 974-992.
8. Ripley, B.D. (1987). Stochastic simulation. New York: Wiley.
9. Ross, S.M. (1988). Simulating average delay - Variance reduction by conditioning. Probability in the Engineering and Informational Sciences 2: 309-312.
10. Ross, S.M. (1996). Stochastic process, 2nd ed. New York: Wiley.
11. Ross, S.M. (1997). Simulation, 2nd ed. Boston: Academic Press.
12. Rubinstein, R.Y. (1996). Simulation and the Monte Carlo method. New York: Wiley.
13. Wilson, J.R. & Pritsker, A.A.B. (1984). Experimental evaluation of variance reduction techniques for queueing simulation using generalized concomitant variables. Management Science 30: 1459-1472.
14. Wilson, J.R. & Pritsker, A.A.B. (1984). Variance reduction in queueing simulation using generalized concomitant variables. Journal of Statistical Computation and Simulation 19: 129-153.