Analytical solution of common overflow traffic model
In this paper, the serving model with two Poisson traffics in primary group, whereupon the rejected calls of one of them are directed to the alternative groups in sequence, is investigated. Serving intensity is changed from primary and gets different values in other groups. Generating function techn...
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creator | Bakmaz, Bojan M. Bojkovic, Zoran S. Bakmaz, Miodrag R. |
description | In this paper, the serving model with two Poisson traffics in primary group, whereupon the rejected calls of one of them are directed to the alternative groups in sequence, is investigated. Serving intensity is changed from primary and gets different values in other groups. Generating function technique is used for the analytical solving steady state equations system. Obtained general solution for the state probabilities permits efficient traffic parameters calculation. For the case with secondary and ternary group, explicit solutions for traffic parameters are derived and graphically analyzed. This model is applicable in traditional and next generation networks with alternative routing and admission control. |
doi_str_mv | 10.1109/TELSKS.2013.6704905 |
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Serving intensity is changed from primary and gets different values in other groups. Generating function technique is used for the analytical solving steady state equations system. Obtained general solution for the state probabilities permits efficient traffic parameters calculation. For the case with secondary and ternary group, explicit solutions for traffic parameters are derived and graphically analyzed. This model is applicable in traditional and next generation networks with alternative routing and admission control.</description><subject>Alternative group</subject><subject>Analytical models</subject><subject>Bandwidth</subject><subject>Changed serving intensity</subject><subject>Equations</subject><subject>Generating function</subject><subject>Mathematical model</subject><subject>Overflow traffic</subject><subject>Routing</subject><subject>Steady-state</subject><subject>Traffic parameters</subject><isbn>9781479908998</isbn><isbn>1479908991</isbn><isbn>1479909009</isbn><isbn>9781479909025</isbn><isbn>1479909025</isbn><isbn>9781479909001</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2013</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj81Kw0AUhUdEUGueoJu8QOOdzJ2fuyylajHgonVdpslcGJl0JIlK316lXZ3zceCDI8RcQiUl0ONu3Wxft1UNUlXGAhLoK3Ev0RIBAdC1KMi6MzsidyuKcfwAAGmtVmjuBC6PPp2m2PpUjjl9TTEfy8xlm_v-v32HgVP-KafBM8e27HMX0oO4YZ_GUFxyJt6f1rvVy6J5e96sls0iSqunBboOjfOtab30RtUhkO-IHQTUunMuHND87UiMjpDZW8VMxuKBHdtaq5mYn70xhLD_HGLvh9P-clT9AuRiR34</recordid><startdate>201310</startdate><enddate>201310</enddate><creator>Bakmaz, Bojan M.</creator><creator>Bojkovic, Zoran S.</creator><creator>Bakmaz, Miodrag R.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201310</creationdate><title>Analytical solution of common overflow traffic model</title><author>Bakmaz, Bojan M. ; Bojkovic, Zoran S. ; Bakmaz, Miodrag R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-48d468ac6ca1a632ee9ad9f80e455d88eb4668a49f4894ffa73ff9674bf8f7253</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Alternative group</topic><topic>Analytical models</topic><topic>Bandwidth</topic><topic>Changed serving intensity</topic><topic>Equations</topic><topic>Generating function</topic><topic>Mathematical model</topic><topic>Overflow traffic</topic><topic>Routing</topic><topic>Steady-state</topic><topic>Traffic parameters</topic><toplevel>online_resources</toplevel><creatorcontrib>Bakmaz, Bojan M.</creatorcontrib><creatorcontrib>Bojkovic, Zoran S.</creatorcontrib><creatorcontrib>Bakmaz, Miodrag R.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bakmaz, Bojan M.</au><au>Bojkovic, Zoran S.</au><au>Bakmaz, Miodrag R.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Analytical solution of common overflow traffic model</atitle><btitle>2013 11th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services (TELSIKS)</btitle><stitle>TELSKS</stitle><date>2013-10</date><risdate>2013</risdate><volume>1</volume><spage>125</spage><epage>128</epage><pages>125-128</pages><isbn>9781479908998</isbn><isbn>1479908991</isbn><eisbn>1479909009</eisbn><eisbn>9781479909025</eisbn><eisbn>1479909025</eisbn><eisbn>9781479909001</eisbn><abstract>In this paper, the serving model with two Poisson traffics in primary group, whereupon the rejected calls of one of them are directed to the alternative groups in sequence, is investigated. Serving intensity is changed from primary and gets different values in other groups. Generating function technique is used for the analytical solving steady state equations system. Obtained general solution for the state probabilities permits efficient traffic parameters calculation. For the case with secondary and ternary group, explicit solutions for traffic parameters are derived and graphically analyzed. This model is applicable in traditional and next generation networks with alternative routing and admission control.</abstract><pub>IEEE</pub><doi>10.1109/TELSKS.2013.6704905</doi><tpages>4</tpages></addata></record> |
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identifier | ISBN: 9781479908998 |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Alternative group Analytical models Bandwidth Changed serving intensity Equations Generating function Mathematical model Overflow traffic Routing Steady-state Traffic parameters |
title | Analytical solution of common overflow traffic model |
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