If two M/M/1 queues with arrival rate $\lambda$ and service rate $\mu$ are working independently. Is the system equivalent to a single M/M/1 queue with arrival rate $2\lambda$ and service rate $2\mu$?

  • 2
    $\begingroup$ What happens when the first customer arrives? Does that customer get served twice as fast? $\endgroup$ – Mark L. Stone Jul 11 '20 at 12:33
  • 2
    $\begingroup$ Another hint: In both scenarios, think about what it takes for a server to be idle. $\endgroup$ – prubin Jul 11 '20 at 22:41

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.