Solving operational statistics via a Bayesian analysis

Operations Research Letters

Volumn 36, Issue 1, 2008, Pages 110-116

  Chu, Leon Yang ^a   Shanthikumar, J George ^b   Shen, Zuo Jun Max ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

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

Author keywords

Demand ambiguity; Estimation and optimization; Model uncertainty; Newsvendor model; Operational statistics

Indexed keywords

MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; STATISTICS; UNCERTAINTY ANALYSIS;

DEMAND AMBIGUITY; MODEL UNCERTAINTY; NEWSVENDOR MODEL; OPERATIONAL STATISTICS;

BAYESIAN NETWORKS;

EID: 37049001003     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2007.04.010     Document Type: Article

References (16)

1. Azoury K.S. Bayes solution to dynamic inventory models under unknown demand distribution. Manage. Sci. 31 (1985) 1150-1160
2. Berger J.O. Statistical Decision Theory and Bayesian Analysis (1980), Springer, New York
3. Bookbinder J.H., and Lordahl A.E. Estimation of inventory reorder level using the bootstrap statistical procedure. IIE Trans. 21 (1989) 302-312
4. Box G.E.P., and Tiao G.C. Bayesian Inference in Statistical Analysis (1973), Wiley, New York (reprinted in 1992)
5. Eppen G.D., and Iyer A.V. Improved Fashion Buying with Bayesian Updates. Oper. Res. 45 (1997) 805-819
6. Gallego G., and Moon I. The distribution free newsvendor problem: review and extensions. J. Oper. Res. Soc. 44 (1993) 825-834
7. Haksöz C., and Seshadri S. Monotone forecasts. Oper. Res. 52 (2004) 478-486
8. W.T. Huh, P. Rusmevichientong, A non-parametric asymptotic analysis of inventory planning with censored demand, Department of Industrial Engineering and Operations Research, Columbia University, Working Paper; 2007.
9. Karlin S. Dynamic inventory policy with varying stochastic demands. Manage Sci. 6 (1960) 231-258
10. Kass R., and Wasserman L. Formal rules for selecting prior distributions: a review and annotated bibliography. J. Am. Statist. Assoc. 91 (1996) 1343-1370
11. R. Levi, R. Roundy, D.B. Shmoys, Provably Near-Optimal Sample-Based Policies for Stochastic Inventory Control Models. ORIE, Cornell University, Working Paper, 2007.
12. A.E.B. Lim, J.G. Shanthikumar, Z.J.M. Shen, Model uncertainty, robust optimization, and learning, in: M.P. Johnson, B. Norman, N. Secomandi (Eds.), Tutorials in Operations Research: Models, Methods, and Applications for Innovative Decision Making, 2006, pp. 66-94.
13. Liyanage L.H., and Shanthikumar J.G. A practical inventory control policy using operational statistics. Oper. Res. Lett. 33 (2005) 341-348
14. Roels G., and Perakis G. The price of information: inventory management with limited information about demand. Manufacturing & Service Operations Management 45 (2006) 102-104
15. Scarf H. A min-max solution of an inventory problem. Studies in The Mathematical Theory of Inventory and Production (1958), Stanford University Press, Stanford, CA (Chapter 12)
16. Scarf H. Bayes Solutions of statistical inventory problem. Ann. Math. Stat. 30 (1959) 490-508