Sequential sampling with economics of selection procedures

Management Science

Volumn 58, Issue 3, 2012, Pages 550-569

  Chick, Stephen E ^a   Frazier, Peter ^b  

^a INSEAD   (France)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

Bayesian; Decision analysis; Diffusion; Dynamic programming; Probability; Simulation; Statistical analysis

Indexed keywords

BAYESIAN; NUMERICAL EXPERIMENTS; OTHER APPLICATIONS; SELECTION PROCEDURES; SEQUENTIAL SAMPLING; SIMULATION; STOCHASTIC SIMULATIONS;

DECISION THEORY; DIFFUSION; PROBABILITY; STATISTICAL METHODS; STOCHASTIC MODELS;

DYNAMIC PROGRAMMING;

EID: 84861376031     PISSN: 00251909     EISSN: 15265501     Source Type: Journal    
DOI: 10.1287/mnsc.1110.1425     Document Type: Article

References (27)

1. Bather, J. 1970. Optimal stopping problems for Brownian motion. Adv. Appl. Probab. 2 259-286.
2. Bechhofer, R. E., T. J. Santner, D. M. Goldsman. 1995. Design and Analysis for Statistical Selection, Screening, and Multiple Comparisons. John Wiley & Sons, New York.
3. Bernardo, J. M., A. F. M. Smith. 1994. Bayesian Theory. Wiley, Chichester, UK.
4. Bertsekas, D. P., S. E. Shreve. 1978. Stochastic Optimal Control: The Discrete Time Case. Academic Press, Belmont, MA.
5. Branke, J., S. E. Chick, C. Schmidt. 2007. Selecting a selection procedure. Management Sci. 53(12) 1916-1932. (Pubitemid 351159563)
6. Brezzi, M., T. L. Lai. 2002. Optimal learning and experimentation in bandit problems. J. Economic Dynam. Control 27(1) 87-108.
7. Chan, H. P., T. L. Lai. 2006. Sequential generalized likelihood ratios and adaptive treatment allocation for optimal sequential selection. Sequential Analysis 25(2) 179-201.
8. Chernoff, H. 1961. Sequential tests for the mean of a normal distribution. Proc. Fourth Berkeley Sympos. Math. Statist. Probab., Vol. 1, University of California Press, Berkeley, CA, 79-91.
9. Chernoff, H., S. N. Ray. 1965. A Bayes sequential sampling inspection plan. Ann. Math. Statist. 36(5) 1387-1407.
10. Chick, S. E., P. Frazier. 2009. The conjunction of the knowledgegradient and the economic approach to simulation selection. M. D. Rossetti, R. R. Hill, B. Johansson, A. Dunkin, R. G. Ingalls, eds. Proc. Winter Simulation Conf., IEEE, Piscataway, NJ, 528-539.
11. Chick, S. E., N. Gans. 2009. An economic analysis of simulation selection problems. Management Sci. 55(3) 421-437.
12. Chick, S. E., K. Inoue. 2001. New two-stage and sequential procedures for selecting the best simulated system. Oper. Res. 49(5) 732-743. (Pubitemid 34011324)
13. Chick, S. E., J. Branke, C. Schmidt. 2010. Sequential sampling to myopically maximize the expected value of information. INFORMS J. Comput. 22(1) 71-80.
14. de Groot, M. H. 1970. Optimal Statistical Decisions. McGraw-Hill, New York.
15. Frazier, P. I., W. B. Powell. 2008. The knowledge-gradient stopping rule for ranking and selection. S. J. Mason, R. R. Hill, L. Mönch, O. Rose, T. Jefferson, J. W. Fowler, eds. Proc. Winter Simulation Conf., IEEE, Piscataway, NJ, 305-312.
16. Frazier, P. I., W. B. Powell. 2010. Paradoxes in learning and the marginal value of information. Decision Anal. 7(4) 378-403.
17. Frazier, P. I., W. B. Powell, S. Dayanik. 2008. A knowledge-gradient policy for sequential information collection. SIAM J. Control Optim. 47(5) 2410-2439.
18. Gupta, S. S., K. J. Miescke. 1996. Bayesian look ahead one-stage sampling allocations for selecting the best population. J. Statist. Planning Inference 54 229-244. (Pubitemid 126161097)
19. Gupta, S. S., K. Nagel, S. Panchapakesan. 1979. Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations. Wiley, New York.
20. Hammersley, J. M., D. C. Hanscomb. 1964. Monte Carlo Methods. Methuen, London.
21. He, D., S. E. Chick, C.-H. Chen. 2007. The opportunity cost and OCBA selection procedures in ordinal optimization for a fixed number of alternative systems. IEEE Trans. Systems, Machines, Cybernetics C: Appl. Reviews 37(5) 951-961. (Pubitemid 47323564)
22. Kim, S.-H., B. L. Nelson. 2006. Selecting the best system. S. G. Henderson, B. L. Nelson, eds. Handbooks in Operations Research and Management Science: Simulation. Elsevier, Amsterdam, 501-534.
23. Lai, T.-L. 1987. Adaptive treatment allocation and the multi-armed bandit problem. Ann. Statist. 15(3) 1091-1114.
24. Law, A. M. 2007. Simulation Modeling and Analysis, 4th ed. McGraw-Hill, New York.
25. O'Hagan, A., C. Buck, A. Daneshkhah, J. Eiser, P. Garthwaite, D. Jenkinson, J. Oakley, T. Rakow. 2006. Uncertain Judgements: Eliciting Experts' Probabilities. John Wiley & Sons, Chichester, UK.
26. Pham, H. 2009. Continuous-Time Stochastic Control and Optimization With Financial Applications. Springer, Berlin.
27. Siegmund, D. 1985. Sequential Analysis: Tests and Confidence Intervals. Springer-Verlag, New York.