Obtaining response time moments in processor sharing (PS) queues is difficult due to serving of multiple jobs. Egaliatarian PS (EPS) queues are limited to one class of arriving jobs. Discriminatory PS (DPS) assigns weights to different job classes and offers more diverse modeling capabilities than EPS. It is known that response time is the representative metric for delay as specified in service level agreements (SLAs), which consider higher moments important. Hence, we build an automated numerical algorithm for calculating higher moments of response time in M/M/1-DPS queues for multiple job classes and test two different case studies.
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Univ Twente, Dept Appl Math, Stochast Operat Res Grp, NL-7500 AE Enschede, NetherlandsKorea Univ, Dept Math, Telecommun Math Res Ctr, Seoul 136713, South Korea
Cheung, Sing-Kong
Kim, Bara
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Korea Univ, Dept Math, Telecommun Math Res Ctr, Seoul 136713, South KoreaKorea Univ, Dept Math, Telecommun Math Res Ctr, Seoul 136713, South Korea
Kim, Bara
Kim, Jeongsim
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Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, Chungbuk, South KoreaKorea Univ, Dept Math, Telecommun Math Res Ctr, Seoul 136713, South Korea