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HW Sol Due 2-5-2009 Set 2

# HW Sol Due 2-5-2009 Set 2 - HW Assigned on 2-3 and Due...

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Unformatted text preview: HW Assigned on 2-3 and Due 2-5-2009 Develop the probabilities ( pl. '3) and system performance measures (WIP, CT and th) for the following situation: (i) two machines with exponentially distributed processing times with (non-identical) mean rates of p and y, ,u > 3/. (ii) exponentially distributed inter—arrival times with mean rateﬂ. . (iii) limit of 3 jobs in the system, arrivals to a full system are turned away (lost). _ (iv) use data of A = 5, ,u = 3, y = 2. Diagram: 51% [email protected] Es 7" ’U f2 51 2 0+4”) W2. : A7/V7L'r Mg; +QJ+57€ wow-mfg, =MZ ‘ W: ‘fi-kﬁs‘rﬁg-k'ozfé : i éngW/WWWW W Z 2;, c E s x F i [ E ;L ’r FilezMM23Um1e unequal servers statespi: i's are: 1 =0,2= 1f, 3 =1s,4=2, 5 =3 A 5.000 -3.000 -2.000 0.000 0.000 -5000 3.000 0.000 -2000 0.000 0.000 0.000 7.000 —3.000 0.000 0.000 -5.000 -5.000 10.000 —5.000 1.000 1.000 1.000 1.000 1.000 rhs:{ 0.000, 0.000, 0.000, 0.000, 1.000} ______________ solution prob: p0, plf, p15, p2, p3 prob:{ 0.146, 0.163, 0.122, 0.285, 0.285} th: 3.577 of potential 5 WIP: 1.707 CT: 0.477 ...
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