Question: Consider anM/M/1 queueing system with arrivaland service rate( (a)(5 points) LetNbe the number of customers in the systemin the steady-stateas covered in class. Calculate itsztransform,

Consider anM/M/1 queueing system with arrivaland service rate(

  1. (a)(5 points) LetNbe the number of customers in the systemin the steady-stateas covered in class. Calculate itsztransform, i.e.,E{zN}.
  2. (b)(15 points) Calculate theztransform ofNd, i.e.,E{zNd}in terms of,,z. You must clearly show your steps.

Consider anM/M/1 queueing system with arrivaland service rate( (a)(5 points) LetNbe the

4. (20 points): (from past exam) Consider an M/M/1 queueing system with arrival ) and service rate M ()

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