For the MAP/P H/1 queueing model use the expressions for Lq and Wq as given in XXXXXXXXXXand XXXXXXXXXX), respectively, to prove the Littles law for this model. Show that for the M/P H/1 queueing...

For the MAP/P H/1 queueing model use the expressions for Lq and Wq as given in (8.4.17) and (8.4.20), respectively, to prove the Littles law for this model. Show that for the M/P H/1 queueing model with an arrival rate ? and the service times with irreducible representation (?,S) of order m, the rate matrix R is given by ?(?I - ?eß - S) -1 .