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Performance analysis of buffers with train arrivals and correlated output interruptions
1. | SMACS Research Group, TELIN Department, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Gent |
2. | Supply Networks and Logistics Research Center, Department of Industrial Management, Ghent University, Technologiepark 903, B-9052 Zwijnaarde |
  First, we provide a general analysis of the state of the buffer system based on a matrix generating functions approach. This also leads to an expression for the mean buffer content. Additionally, we take a closer look at the distributions of the packet delay and the train delay. In order to make matters more concrete, we next present a detailed and explicit analysis of the buffer system in case the output line is governed by a $2$-state Markov process. Some numerical examples help to visualise the influence of the various model parameters.
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show all references
References:
[1] |
Performance Evaluation, 51 (2003), 1-31. Google Scholar |
[2] |
Proceedings of IEEE INFOCOM '95 (Boston, 2-6 April 1995), (1995), 338-344.
doi: 10.1109/INFCOM.1995.515893. |
[3] |
Performance Evaluation, 16 (1992), 5-20.
doi: 10.1016/0166-5316(92)90064-N. |
[4] |
Performance Evaluation, 3 (1983), 165-175.
doi: 10.1016/0166-5316(83)90001-9. |
[5] |
Electronics Letters, 19 (1983), 735-737.
doi: 10.1049/el:19830501. |
[6] |
Computer Networks and ISDN Systems, 25 (1993), 1267-1277.
doi: 10.1016/0169-7552(93)90018-Y. |
[7] |
IEEE Transactions on Communications, 42 (1994), 255-259.
doi: 10.1109/TCOMM.1994.577026. |
[8] |
IEE Proceedings-Communications, 145 (1998), 331-336.
doi: 10.1049/ip-com:19982288. |
[9] |
Stochastic Models, 23 (2007), 195-209.
doi: 10.1080/15326340701300746. |
[10] |
Queueing Systems, 15 (1994), 325-345.
doi: 10.1007/BF01189244. |
[11] |
Performance Evaluation, 29 (1997), 85-104.
doi: 10.1016/S0166-5316(96)00006-5. |
[12] |
IEEE Transactions on Communications, 38 (1990), 447-455.
doi: 10.1109/26.52655. |
[13] |
BIT Numerical Mathematics, 11 (1971), 168-174. |
[14] |
Applied Mathematics and Computation, 115 (2000), 43-62.
doi: 10.1016/S0096-3003(99)00134-4. |
[15] |
Computers and Operations Research, 39 (2012), 2905-2914.
doi: 10.1016/j.cor.2011.11.023. |
[16] |
Operations Research Letters, 30 (2002), 17-18.
doi: 10.1016/S0167-6377(01)00112-2. |
[17] |
Performance Evaluation, 55 (2004), 277-298.
doi: 10.1016/j.peva.2003.08.004. |
[18] |
Performance Evaluation, 21 (1994), 151-161.
doi: 10.1016/0166-5316(94)90032-9. |
[19] |
Advances in Applied Probability, 28 (1996), 114-165.
doi: 10.2307/1427915. |
[20] |
Electronics Letters, 44 (2008), 61-63.
doi: 10.1049/el:20083020. |
[21] |
Performance Evaluation, 67 (2010), 432-450.
doi: 10.1016/j.peva.2009.12.007. |
[22] |
IEEE Transactions on Communications, 46 (1998), 1575-1579. Google Scholar |
[23] |
Journal of Applied Probability, 41 (2004), 524-534.
doi: 10.1239/jap/1082999083. |
[24] |
Performance Evaluation, 63 (2006), 315-340. Google Scholar |
[25] |
Computers & Operations Research, 35 (2008), 3969-3988.
doi: 10.1016/j.cor.2007.06.001. |
[26] |
Telecommunication Systems, 41 (2009), 267-277. Google Scholar |
[27] |
European Journal of Operations Research, 85 (1995), 161-177.
doi: 10.1016/0377-2217(93)E0148-Q. |
[28] |
Queueing Systems, 27 (1997), 153-178.
doi: 10.1023/A:1019162014745. |
[29] |
Advances in Applied Probability, 22 (1990), 676-705.
doi: 10.2307/1427464. |
[30] |
Stochastic Models, 7 (1991), 1-46.
doi: 10.1080/15326349108807174. |
[31] |
Journal of the Operations Research Society of Japan, 46 (2003), 319-341. |
[32] |
SIAM, 2000.
doi: 10.1137/1.9780898719512. |
[33] |
Cambridge University Press, Cambridge, UK, 1987. Google Scholar |
[34] |
IEEE Communications Letters, 8 (2004), 544-546.
doi: 10.1109/LCOMM.2004.833827. |
[35] |
New York: Marcel Dekker, 1989. |
[36] |
Proceedings of IEEE INFOCOM '93 (San Francisco, 28 March - 1 April 1993), (1993), 401-410.
doi: 10.1109/INFCOM.1993.253336. |
[37] |
Stochastic Models, 23 (2007), 489-512.
doi: 10.1080/15326340701471158. |
[38] |
Performance Evaluation, 32 (1998), 35-56.
doi: 10.1016/S0166-5316(97)00015-1. |
[39] |
Electronics Letters, 34 (1998), 1719-1721.
doi: 10.1049/el:19981248. |
[40] |
16th International conference on analytical and stochastic modelling techniques and applications (ASMTA) Madrid , Spain, Lecture Notes in Computer Science, 5513 (2009), 189-203.
doi: 10.1007/978-3-642-02205-0_14. |
[41] |
International Journal of Electronics and Communications, 51 (1997), 178-186. Google Scholar |
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