Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems
It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones. In this paper we propose an approximation method, based on the...
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| Veröffentlicht in: | Systems and computers in Japan 2004-02, Vol.35 (2), p.16-24 |
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| container_title | Systems and computers in Japan |
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| creator | Sasaki, Yukie Imai, Hiroei Tsunoyama, Masahiro Ishii, Ikuo |
| description | It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones.
In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10446 |
| doi_str_mv | 10.1002/scj.10446 |
| format | Article |
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In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10446</description><identifier>ISSN: 0882-1666</identifier><identifier>EISSN: 1520-684X</identifier><identifier>DOI: 10.1002/scj.10446</identifier><language>eng</language><publisher>Hoboken: Wiley Subscription Services, Inc., A Wiley Company</publisher><subject>Coxian distribution ; dependable system ; long-tail distribution ; multimedia system ; system evaluation</subject><ispartof>Systems and computers in Japan, 2004-02, Vol.35 (2), p.16-24</ispartof><rights>Copyright © 2004 Wiley Periodicals, Inc.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2206-d5f26bf963f02d56b27c642a3edf325b62bb79926b5ec241dd6a19f1192e49ed3</citedby><cites>FETCH-LOGICAL-c2206-d5f26bf963f02d56b27c642a3edf325b62bb79926b5ec241dd6a19f1192e49ed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fscj.10446$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fscj.10446$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,778,782,1414,27907,27908,45557,45558</link.rule.ids></links><search><creatorcontrib>Sasaki, Yukie</creatorcontrib><creatorcontrib>Imai, Hiroei</creatorcontrib><creatorcontrib>Tsunoyama, Masahiro</creatorcontrib><creatorcontrib>Ishii, Ikuo</creatorcontrib><title>Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems</title><title>Systems and computers in Japan</title><addtitle>Syst. Comp. Jpn</addtitle><description>It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones.
In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10446</description><subject>Coxian distribution</subject><subject>dependable system</subject><subject>long-tail distribution</subject><subject>multimedia system</subject><subject>system evaluation</subject><issn>0882-1666</issn><issn>1520-684X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNp1kDFPwzAQhS0EEqUw8A-8MoTaTuzEYxWgBRWoBAg2y45tySVpqjiB5t_jNoDEgG64O933TnoPgHOMLjFCZOKLVRiShB2AEaYERSxL3g7BCGUZiTBj7BiceL9CCIfiI-Cmm01Tb10lW1evYW1hWJVUrnRtD7XzbeNUt7_Zbl3sBg9VD_Ogkeu_QFtD8yHLTrYGVl3ZuspoJ6HvfWsqfwqOrCy9OfvuY_Byc_2cz6PF4-w2ny6ighDEIk0tYcpyFltENGWKpAVLiIyNtjGhihGlUs4DQ01BEqw1k5hbjDkxCTc6HoOL4W_R1N43xopNE-w1vcBI7DISISOxzyiwk4H9dKXp_wfFU373o4gGRTButr8K2bwLlsYpFa8PM5FdseX9ks4Fib8AY_p7Ag</recordid><startdate>200402</startdate><enddate>200402</enddate><creator>Sasaki, Yukie</creator><creator>Imai, Hiroei</creator><creator>Tsunoyama, Masahiro</creator><creator>Ishii, Ikuo</creator><general>Wiley Subscription Services, Inc., A Wiley Company</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>200402</creationdate><title>Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems</title><author>Sasaki, Yukie ; Imai, Hiroei ; Tsunoyama, Masahiro ; Ishii, Ikuo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2206-d5f26bf963f02d56b27c642a3edf325b62bb79926b5ec241dd6a19f1192e49ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Coxian distribution</topic><topic>dependable system</topic><topic>long-tail distribution</topic><topic>multimedia system</topic><topic>system evaluation</topic><toplevel>online_resources</toplevel><creatorcontrib>Sasaki, Yukie</creatorcontrib><creatorcontrib>Imai, Hiroei</creatorcontrib><creatorcontrib>Tsunoyama, Masahiro</creatorcontrib><creatorcontrib>Ishii, Ikuo</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Systems and computers in Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sasaki, Yukie</au><au>Imai, Hiroei</au><au>Tsunoyama, Masahiro</au><au>Ishii, Ikuo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems</atitle><jtitle>Systems and computers in Japan</jtitle><addtitle>Syst. Comp. Jpn</addtitle><date>2004-02</date><risdate>2004</risdate><volume>35</volume><issue>2</issue><spage>16</spage><epage>24</epage><pages>16-24</pages><issn>0882-1666</issn><eissn>1520-684X</eissn><abstract>It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones.
In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10446</abstract><cop>Hoboken</cop><pub>Wiley Subscription Services, Inc., A Wiley Company</pub><doi>10.1002/scj.10446</doi><tpages>9</tpages></addata></record> |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Coxian distribution dependable system long-tail distribution multimedia system system evaluation |
| title | Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems |
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