Queueing theory for multiple nodes with different service time

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I am looking for a suitable queueing model consisting following behaviors

  1. the arrival rate will be exponentially distributed
  2. there will be different types of jobs with different priorities.
  3. the service time is same for all jobs of a same category.
  4. there will be 1 server

I need the response time distribution for the above scenario.

I looked for variation of M/D/1 queue but couldn't found similar to my required model. Can anyone suggest me some resources.

Thanks a lot