참고문헌
- Abdalhamid, B., Bilder, C.R., McCutchen, E.L., Hinrichs, S.H., Koepsell, S.A., and Iwen, P.C., Assessment of specimen pooling to conserve SARS CoV-2 testing resources, American Journal of Clinical Pathology, 2020, Vol. 153, No. 6, pp. 715-718. https://doi.org/10.1093/ajcp/aqaa064
- Abolnikov, L. and Dukhovny, A., Optimization in HIV screening problems, Journal of Applied Mathematics and Stochastic Analysis, 2003, Vol. 16, No. 4, pp. 361-374. https://doi.org/10.1155/S1048953303000285
- Bailey, N.T., On queueing processes with bulk service, Journal of the Royal Statistical Society: Series B (Methodological), 1954, Vol. 16, No. 1, pp. 80-87. https://doi.org/10.1111/j.2517-6161.1954.tb00149.x
- Bar-Lev, S.K., Parlar, M., Perry, D., Stadje, W., and Van der Duyn Schouten, F.A., Applications of bulk queues to group testing models with incomplete identification, European Journal of Operational Research, 2007, Vol. 183, No. 1, pp. 226-237. https://doi.org/10.1016/j.ejor.2006.09.086
- Chaudhry, M. and Templeton, J.G., First Course in Bulk Queues, John Wiley & Sons, 1983.
- Claeys, D., Steyaert, B., Walraevens, J., Laevens, K., and Bruneel, H., Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism, Computers & Operations Research, 2013, Vol. 40, No. 5, pp. 1497-1505. https://doi.org/10.1016/j.cor.2012.10.009
- Claeys, D., Walraevens, J., Laevens, K., and Bruneel, H., A queueing model for general group screening policies and dynamic item arrivals, European Journal of Operational Research, 2010, Vol. 207, No. 2, pp. 827-835. https://doi.org/10.1016/j.ejor.2010.05.042
- Claeys, D., Walraevens, J., Laevens, K., and Bruneel, H., Analysis of threshold-based batch-service queueing systems with batch arrivals and general service times, Performance Evaluation, 2011, Vol. 68, No. 6, pp. 528-549. https://doi.org/10.1016/j.peva.2011.03.007
- Deckert, A., Barnighausen, T., and Kyei, N.N., Simulation of pooled-sample analysis strategies for COVID-19 mass testing, Bulletin of the World Health Organization, 2020, Vol. 98, No. 9, pp. 590. https://doi.org/10.2471/blt.20.257188
- Dorfman, R., The detection of defective members of large populations, The Annals of Mathematical Statistics, 1943, Vol. 14, No. 4, pp. 436-440. https://doi.org/10.1214/aoms/1177731363
- Downton, F., Waiting time in bulk service queues, Journal of the Royal Statistical Society: Series B (Methodological), 1955, Vol. 17, No. 2, pp. 256-261. https://doi.org/10.1111/j.2517-6161.1955.tb00199.x
- Du, D., Hwang, F.K. and Hwang, F., Combinatorial group testing and its applications, World Scientific, 2000.
- Garg, J., Singh, V., Pandey, P., Verma, A., Sen, M., Das, A., and Agarwal, J., Evaluation of sample pooling for diagnosis of COVID-19 by real time-PCR: A resource-saving combat strategy, Journal of Medical Virology, 2021, Vol. 93, No. 3, pp. 1526-1531. https://doi.org/10.1002/jmv.26475
- Jenkins, M.A. and Traub, J.F., Algorithm 419: zeros of a complex polynomial, Communications of the ACM, 1972, Vol. 15, No. 2, pp. 97-99 https://doi.org/10.1145/361254.361262
- Kim, J.-H., Comparative study of target genes and protocols by country for detection of SARS-CoV-2 based on polymerase chain reaction (PCR), Journal of the Korea Contents Association, 2021, Vol. 21, No. 1, pp. 465-474. https://doi.org/10.5392/JKCA.2021.21.01.465
- Kim, J. and Lee, T., A study on the application and optimization of pooled tests for the diagnosis of COVID-19, Proceedings of the 2021 KIIE (Korean Institute of Industrial Engineers) Spring Conference, 2021, pp. 4516-4554.
- Kim, K., A relation between queue-length distributions during server vacations in queues with batch arrivals, batch services, or multiclass arrivals: An extension of burke's theorem, Indian Journal of Science and Technology, 2015, Vol. 8, No. 25.
- Kim, N.K., Chaudhry, M.L., Yoon, B.K. and Kim, K., Inverting generating functions with increased numerical precision: A computational experience, Journal of Systems Science and Systems Engineering, 2011, Vol. 20, pp. 475-494. https://doi.org/10.1007/s11518-011-5179-5
- Macula, A.J., Probabilistic nonadaptive group testing in the presence of errors and DNA library screening, Annals of Combinatorics, 1999, Vol. 3, No. 1, pp. 61-69. https://doi.org/10.1007/BF01609876
- Medhi, J., Waiting time distribution in a poisson queue with a general bulk service rule, Management Science, 1975, Vol. 21, No. 7, pp. 777-782. https://doi.org/10.1287/mnsc.21.7.777
- Mutesa, L., Ndishimye, P., Butera, Y., Souopgui, J., Uwineza, A., Rutayisire, R., Ndoricimpaye, E.L., Musoni, E., Rujeni, N., Nyatanyi, T. and others, A pooled testing strategy for identifying SARS-CoV-2 at low prevalence, Nature, 2021, Vol. 589, No. 7841, pp. 276-280. https://doi.org/10.1038/s41586-020-2885-5
- Nandy, N. and Pradhan, S., On the joint distribution of an infinite-buffer discrete-time batch-size-dependent service queue with single and multiple vacations, Quality Technology & Quantitative Management, 2021, pp. 1-36. https://doi.org/10.1080/16843703.2017.1335495
- Neuts, M.F., A general class of bulk queues with poisson input, The Annals of Mathematical Statistics, 1967, Vol. 38, No. 3, pp. 759-770. https://doi.org/10.1214/aoms/1177698869
- Ngo, H.Q. and Du, D.-Z., A survey on combinatorial group testing algorithms with applications to DNA library screening, Discrete Mathematical Problems with Medical Applications, 2000, Vol. 55, pp. 171-182. https://doi.org/10.1090/dimacs/055/13
- Pradhan, S. and Gupta, U., Analysis of an infinite-buffer batch-size-dependent service queue with markovian arrival process, Annals of Operations Research, 2019, Vol. 277, No. 2, pp. 161-196. https://doi.org/10.1007/s10479-017-2476-5
- Song, G.S., Lee, Y.-R., Kim, S., Kim, W., Choi, J., Yoo, D., Yoo, J., Jang, K.-T., Lee, J. and Jun, J.H., Laboratory diagnosis of coronavirus disease 19 (COVID-19) in korea: Current status, limitation, and challenges, Korean J Clin Lab Sci, 2020, Vol. 52, No. 3, pp. 284-295. https://doi.org/10.15324/kjcls.2020.52.3.284
- Wein, L.M. and Zenios, S.A., Pooled testing for HIV screening: Capturing the dilution effect, Operations Research, 1996, Vol. 44, No. 4, pp. 543-569. https://doi.org/10.1287/opre.44.4.543
- Yelin, I., Aharony, N., Tamar, E.S., Argoetti, A., Messer, E., Berenbaum, D., Shafran, E., Kuzli, A., Gandali, N., Shkedi, O. and others, Evaluation of COVID-19 RT-qPCR test in multi sample pools, Clinical Infectious Diseases, 2020, Vol. 71, No. 16, pp. 2073-2078. https://doi.org/10.1093/cid/ciaa531
- Yong, D., Laboratory diagnosis of 2019 novel coronavirus, Korean J healthc assoc Infect Control Prev, 2020, Vol. 25, No. 1, pp. 63-65. https://doi.org/10.14192/kjicp.2020.25.1.63
- Zhao, Y.Q. and Campbell, L.L., Equilibrium probability calculations for a discrete-time bulk queue model, Queueing Systems, 1996, Vol. 22, No. 1, pp. 189-198. https://doi.org/10.1007/BF01159401