Suppose we want to purchase a two-processor system, to be operated as anM/M/2 queue
Chapter 8, Problem 2(choose chapter or problem)
Suppose we want to purchase a two-processor system, to be operated as anM/M/2 queue. Keeping the total amount of computing power constant, we wantto investigate the tradeoffs between a system with homogeneous processors (totalpower 2) and a heterogeneous system (total power 1 + 2 = 2). Using theaverage response time as the criterion function, which system will be superior?To take a concrete case, let = /2 vary from 0.1 to 0.9 and compute the aver-age response times of the two systems, choosing different sets of values of 1 and2 and assuming = 1. [It can be shown that the optimum values of 1 and 2are given by1+ 1 !1 + 1and !1 + 1 1where = 2.
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