Methods for estimating vehicle queues at a marine terminal: a computational comparison
Gang Chen, Zhong Yang (2014)
International Journal of Applied Mathematics and Computer Science
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Gang Chen, Zhong Yang (2014)
International Journal of Applied Mathematics and Computer Science
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Gang Chen, Zhong Yang (2014)
International Journal of Applied Mathematics and Computer Science
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Bérczes, Tamás (2008)
Annales Mathematicae et Informaticae
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Saulius Minkevičius (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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The object of this research in the queueing theory is a theorem about the Strong-Law-of-Large-Numbers (SLLN) under the conditions of heavy traffic in a multiserver open queueing network. SLLN is known as a fluid limit or fluid approximation. In this work, we prove that the long-term average rate of growth of the queue length process of a multiserver open queueing network under heavy traffic strongly converges to a particular vector of rates. SLLN is proved for the values of an important...
Parthasarathy, P.R., Sericola, B., Vijayashree, K.V. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Belarbi, Faiza, Bouchentouf, Amina Angelika (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Erol Gelenbe (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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Parthasarathy, P.R., Vijayashree, K.V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Mandjes, Michel, Scheinhardt, Werner (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Krzysztof Rusek, Lucjan Janowski, Zdzisław Papir (2014)
International Journal of Applied Mathematics and Computer Science
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Krzysztof Rusek, Lucjan Janowski, Zdzisław Papir (2014)
International Journal of Applied Mathematics and Computer Science
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Mirtchev, Seferin, Statev, Stanimir (2008)
Serdica Journal of Computing
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This work was supported by the Bulgarian National Science Fund under grant BY-TH-105/2005. This paper deals with a full accessibility loss system and a single server delay system with a Poisson arrival process and state dependent exponentially distributed service time. We use the generalized service flow with nonlinear state dependence mean service time. The idea is based on the analytical continuation of the Binomial distribution and the classic M/M/n/0 and M/M/1/k system....
Lie-Fern Hsu, Charles S. Tapiero, Cinho Lin (1993)
RAIRO - Operations Research - Recherche Opérationnelle
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Joanna Domańska, Adam Domański, Dariusz Augustyn, Jerzy Klamka (2014)
International Journal of Applied Mathematics and Computer Science
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Cooper, Robert B., Niu, Shun-Chen, Srinivasan, Mandyam M. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Amit Choudhury, Pallabi Medhi (2011)
RAIRO - Operations Research
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In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege. Reneging considered in literature is usually of position independent type where the reneging rate is constant irrespective of the position of the customer in the system. However there are many real world situations where this assumption does not hold. This paper is an attempt to model balking with position dependent reneging. Explicit...
Amit Choudhury, Pallabi Medhi (2011)
RAIRO - Operations Research
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In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege. Reneging considered in literature is usually of position independent type where the reneging rate is constant irrespective of the position of the customer in the system. However there are many real world situations where this assumption does not hold. This paper is an attempt to model balking with position dependent reneging. Explicit...