Numerically solve the following version of the service rate control model of Sec. 3.7.2….

Numerically solve the following version of the service rate control model of Sec. 3.7.2. Objectives are to determine if there is any obvious structure for the optimal policy and to investigate its sensitivity to model parameters.

Assume that there is a finite system capacity of eight units; that is, if arriving jobs cause the system content to exceed eight units, excess jobs do not enter the system and are lost. Let R = 5, h(s) = 2s, B = (0,1,2), K = 3, d(0) = 0, d( 1) = 2, and 42) = 5. Take rN(s, b) = 0 for all s and b and N = 10. Assume that jobs arrive followong a Poisson distribution with a rate of 1.5 jobs per period so that

and that the service distribution fb(s) satisfies fo(0) = 0.8, fo(l) = 0.2; fl(0) = 0.5, f,(l) = 0.5; and f2(0) = 0.2, fi(l) = 0.8.

Of coursc this problem requires developing a computer program to carry out calculations.

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