p_4_11p 4 11
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An Introduction to Queueing Systems, Kluwer Academic Publishers Solution Manual Copyright 2001, Sanjay K. Bose Solution to Problem 4.11 This is actually exactly the same problem as the one analysed in Section 4.5.3. The only difference is that whereas the queue considered in Section 4.5.3 is for the case where the actual service times for both classes have a general distribution, the case considered here has fixed (deterministic) service times for both the classes. If X 1 and X 2 are the fixed service times of Class 1 and Class 2, respectively, then the corresponding L.T. of their pdf's will be L B1 =exp(-sX 1 ) and L B2 =exp(-sX 2 ). Appropriate substitution using these values will yield the required solution.
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An Introduction to Queueing Systems, Kluwer Academic Publishers Solution ManualCopyright 2001, Sanjay K. Bose
Solution to Problem 4.11
This is actually exactly the same problem as the one analysed in Section 4.5.3. The onlydifference is that whereas the queue considered in Section 4.5.3 is for the case where the actualservice times for both classes have a general distribution, the case considered here has fixed(deterministic) service times for both the classes. If X1 and X2 are the fixed service times of Class1 and Class 2, respectively, then the corresponding L.T. of their pdf's will be LB1=exp(-sX1) andLB2=exp(-sX2). Appropriate substitution using these values will yield the required solution.
