{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T07:52:22Z","timestamp":1781596342549,"version":"3.54.5"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,11,1]],"date-time":"2009-11-01T00:00:00Z","timestamp":1257033600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2009,11]]},"DOI":"10.1007\/s10479-009-0613-5","type":"journal-article","created":{"date-parts":[[2009,11,5]],"date-time":"2009-11-05T21:37:22Z","timestamp":1257457042000},"page":"291-313","source":"Crossref","is-referenced-by-count":16,"title":["Waiting time approximation in single-class queueing systems with multiple types of interruptions: modeling congestion at waterways entrances"],"prefix":"10.1007","volume":"172","author":[{"given":"\u00d6zgecan S.","family":"Ulus\u00e7u","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tayfur","family":"Alt\u0131ok","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,11,6]]},"reference":[{"key":"613_CR1","unstructured":"Almaz, A. O. (2006). Investigation of the transit maritime traffic in the Strait of Istanbul through simulation modeling and scenario analysis. MS\u00a0Thesis, Department of Industrial Engineering, Bo\u011fazi\u00e7i University, Istanbul, Turkey."},{"key":"613_CR2","doi-asserted-by":"crossref","unstructured":"Almaz, A. O., Or, I., & \u00d6zba\u015f, B. (2006). Simulation of maritime transit traffic in the Istanbul channel. In 20th European conference on modelling and simulation ECMS 2006. Modelling methodologies and simulation key technologies in academia and industry (pp.\u00a0360\u2013366). Saint Augustin, Germany.","DOI":"10.7148\/2006-0360"},{"key":"613_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1924-8","volume-title":"Performance analysis of manufacturing systems","author":"T. Altiok","year":"1997","unstructured":"Altiok, T. (1997). Performance analysis of manufacturing systems. New York: Springer."},{"key":"613_CR4","volume-title":"Panama Canal capacity analysis","author":"M. S. Bronzini","year":"1995","unstructured":"Bronzini, M. S. (1995). Panama Canal capacity analysis. TN: Oak Ridge National Laboratory."},{"key":"613_CR5","unstructured":"Elsayed, E. A., & Proctor, C. L. (1979). Two repair policies for a machine interference problem with two types of failures. In Proceedings of the 10th annual modeling and simulation conference (Vol.\u00a010, pp.\u00a0535\u2013539). Pittsburgh, PA."},{"key":"613_CR6","doi-asserted-by":"crossref","unstructured":"Franzese, L. A. G., Abdenur, L. O., Botter, R. C., Starks, D., & Cano, A. R. (2004). Simulating the Panama Canal: present and future. In Proceedings of the 2004 winter simulation conference (Vol.\u00a02, pp.\u00a01835\u20131838). Washington, DC.","DOI":"10.1109\/WSC.2004.1371537"},{"key":"613_CR7","doi-asserted-by":"crossref","unstructured":"Golkar, J., Shekhar, A., & Buddhavarapu, S. (1998). Panama Canal simulation model. In Proceedings of 1998 winter simulation conference (Vol.\u00a02, pp.\u00a01229\u20131237). Washington, DC.","DOI":"10.1109\/WSC.1998.745984"},{"issue":"2","key":"613_CR8","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1080\/16843703.2004.11673076","volume":"1","author":"W. J. Gray","year":"2004","unstructured":"Gray, W. J., Wang, P. P., & Scott, M. (2004). A queueing model with multiple types of server breakdowns. Quality Technology & Quantitative Management, 1(2), 245\u2013255.","journal-title":"Quality Technology & Quantitative Management"},{"issue":"1","key":"613_CR9","first-page":"75","volume":"12","author":"W. J. Gray","year":"2003","unstructured":"Gray, W. J., Wang, P. P., & Scott, M. (2003). A queueing model with service breakdowns and multiple stages of repair. Journal of Applied Statistical Science, 12(1), 75\u201389.","journal-title":"Journal of Applied Statistical Science"},{"issue":"2","key":"613_CR10","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/0026-2714(95)90093-6","volume":"35","author":"Y. Hsieh","year":"1995","unstructured":"Hsieh, Y., & Andersland, M. S. (1995). Repairable single-server systems with multiple breakdown modes. Microelectronics and Reliability, 35(2), 309\u2013318.","journal-title":"Microelectronics and Reliability"},{"issue":"4","key":"613_CR11","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1287\/opre.11.4.624","volume":"11","author":"N. K. Jaiswal","year":"1963","unstructured":"Jaiswal, N. K., & Thiruvengadam, K. (1963). Simple machine interference with two types of failure. Operations Research, 11(4), 624\u2013636.","journal-title":"Operations Research"},{"issue":"7\u20138","key":"613_CR12","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/j.simpat.2003.10.001","volume":"11","author":"E. Kose","year":"2003","unstructured":"Kose, E., Basar, E., Demirci, E., Guneroglu, A., & Erkebay, S. (2003). Simulation of marine traffic in Strait of Istanbul. Simulation Modelling Practice and Theory, 11(7\u20138), 597\u2013608.","journal-title":"Simulation Modelling Practice and Theory"},{"key":"613_CR13","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.simpat.2007.11.013","volume":"16","author":"D. Mavrakis","year":"2008","unstructured":"Mavrakis, D., Kontinakis, N. (2008). A queueing model of maritime traffic in Bosporus Straits. Simulation Modeling Practice and Theory, 16, 315\u2013328.","journal-title":"Simulation Modeling Practice and Theory"},{"issue":"4","key":"613_CR14","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1007\/BF00267867","volume":"23","author":"V. F. Nicola","year":"1986","unstructured":"Nicola, V. F. (1986). A single-server queue with mixed types of interruptions. Acta Informatica, 23(4), 465\u2013486.","journal-title":"Acta Informatica"},{"key":"613_CR15","unstructured":"Norman, R. J. (1973). An algorithm for the scheduling of vessels through Panama Canal. Dissertation (MS (OR)), Naval Postgraduate School."},{"key":"613_CR16","unstructured":"Otay, E. N., & \u00d6zkan, S. (2003). Stochastic Prediction of Maritime Accidents in the strait of Istanbul. In Proceedings of the 3rd international conference on oil spills in the Mediterranean and Black Sea regions (pp.\u00a092\u2013104)."},{"key":"613_CR17","unstructured":"\u00d6zba\u015f, B. (2005). Simulation of maritime transit traffic in the Istanbul Channel. MS Thesis, Department of Industrial Engineering, Bo\u011fazi\u00e7i University, Istanbul, Turkey."},{"issue":"3","key":"613_CR18","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1080\/00207548608919750","volume":"24","author":"J. Palesano","year":"1986","unstructured":"Palesano, J., & Chandra, J. (1986). A machine interference problem with multiple types of failures. International Journal of Production Research, 24(3), 567\u2013582.","journal-title":"International Journal of Production Research"},{"issue":"3","key":"613_CR19","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1287\/trsc.22.3.173","volume":"22","author":"E. R. Petersen","year":"1988","unstructured":"Petersen, E. R., & Taylor, A. J. (1988). An optimal scheduling system for the Welland Canal. Transportation Science, 22(3), 173\u2013185.","journal-title":"Transportation Science"},{"key":"613_CR20","unstructured":"Rosselli, A. T., Bronzini, M. S., & Weekly, D. A. (1994). Computer simulation and capacity evaluation of Panama Canal alternatives. In 28th international navigation congress. Seville, Spain."},{"key":"613_CR21","unstructured":"Tan, B., & Otay, E. (1998). A stochastic model of vessel casualties resulting from oil tanker traffic through narrow waterways. In 12th European simulation multiconference (pp.\u00a0881\u2013885). Manchester, UK."},{"issue":"8","key":"613_CR22","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1002\/(SICI)1520-6750(199912)46:8<871::AID-NAV1>3.0.CO;2-I","volume":"46","author":"B. Tan","year":"1999","unstructured":"Tan, B., & Otay, E. N. (1999). Modeling and analysis of vessel casualties resulting from tanker traffic through narrow waterways. Naval Research Logistics, 46(8), 871\u2013892.","journal-title":"Naval Research Logistics"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-009-0613-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-009-0613-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-009-0613-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T18:07:56Z","timestamp":1559153276000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-009-0613-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,11]]}},"alternative-id":["613"],"URL":"https:\/\/doi.org\/10.1007\/s10479-009-0613-5","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,11]]}}}