Higher response time moments for M/M/1 discriminatory processor sharing queues

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. CCS Concepts •Mathematics of computing→Queueing theory; Numerical analysis; •Networks→ Network performance evaluation;