Optimal group testing with processing times and incomplete identification

Methodology and Computing in Applied Probability

Volumn 6, Issue 1, 2004, Pages 55-72

  Bar Lev, Shaul K ^a   Stadje, Wolfgang ^b   Van Der Duyn Schouten, Frank A ^c  

^a UNIVERSITY OF HAIFA   (Israel)

^b UNIVERSITY OF OSNABRÜCK   (Germany)

^c TILBURG UNIVERSITY   (Netherlands)

Author keywords

Cost functional; Group test; Incomplete identification; Optimization; Processing time; Stopping time

Indexed keywords

EID: 24144448928     PISSN: 13875841     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MCAP.0000012415.00394.66     Document Type: Review

References (11)

1. S. K. Bar-Lev, A. Boneh, and D. Perry, "Incomplete identification models for group-testable items," Naval Res. Logist, vol. 37 pp. 647-659, 1990.
2. R. Dorfman, "The detection of defective members of large populations," Ann. Math. Statist. vol. 14 pp. 436-440, 1943.
3. D. Z. Du and F. K. Hwang, Combinatorial Group Testing and Its Applications, Singapore: World Scientific 2nd edition, 2000.
4. P. A. Hammick and J. L. Gastwirth, "Group testing for sensitive characteristics: extensions to higher prevalence," Int. Statist. Rev. vol. 62 pp. 319-331, 1994.
5. M. C. Hung, "Use of binomial group testing in tests of hypotheses for classification or quantitative covariables," Biometrics vol. 56 pp. 204-212, 2000.
6. F. K. Hwang, C. G. Pfeifer, and P. Enis, "An optimal hierarchical procedure for a modified binomial group-testing problem," J. Amer. Statist. Assoc. vol. 76 pp. 947-949, 1981.
7. E. Litvak, X. M. Tu, and M. Pagano, "Screening for the presence of a disease by pooling sera samples," J. Amer. Statist. Assoc. vol. 89 pp. 424-434, 1994.
8. A. J. Macula, "Probabilistic nonadaptive group testing in the presence of errors and DNA library screening," Ann. Comb. vol. 3 pp. 61-69, 1999a.
9. A. J. Macula, "Probabilistic nonadaptive and two-stage group testing with relatively small pools and DNA library screening," J. Comb. Optim. vol. 2 pp. 385-397, 1999b.
10. X. M. Tu, E. Litvak, and M. Pagano, "On the informativeness and accuracy of pooled testing in estimating prevalence of a rare disease: application to HIV screening," Biometrika vol. 82 pp. 287-297, 1995.
11. L. M. Wein and S. A. Zenios, "Pooled testing for HIV screening: capturing the dilution effect," Oper. Res. vol. 44 pp. 543-569, 1996.