Homework Sol Due 9-27

Homework Sol Due 9-27 - Problem 30 M/G/1/∞ system lam = 4...

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Unformatted text preview: Problem 30 M/G/1/∞ system lam = 4 mu = 5 Ca2 = 1 util = 0.8000 E[Ts] = 0.2000 --------------------case: 1 Cs2 = 0.5000 CTs = 0.8000 case: 2 Cs2 = 1.0000 CTs = 1.0000 case: 3 Cs2 = 2.0000 CTs = 1.4000 Problem 31 M/G/1/∞ system The book incorrectly referenced Problem 3.29 when it should have been Problem 3.30. Data for graph util Ws[0.5] Ws[1.0] Ws[2.0] ------------------------------------------0.1000 , 0.1083 , 0.1111 , 0.1167 0.1500 , 0.1699 , 0.1765 , 0.1897 0.2000 , 0.2375 , 0.2500 , 0.2750 0.2500 , 0.3125 , 0.3333 , 0.3750 0.3000 , 0.3964 , 0.4286 , 0.4929 0.3500 , 0.4913 , 0.5385 , 0.6327 0.4000 , 0.6000 , 0.6667 , 0.8000 0.4500 , 0.7261 , 0.8182 , 1.0023 0.5000 , 0.8750 , 1.0000 , 1.2500 0.5500 , 1.0542 , 1.2222 , 1.5583 0.6000 , 1.2750 , 1.5000 , 1.9500 0.6500 , 1.5554 , 1.8571 , 2.4607 0.7000 , 1.9250 , 2.3333 , 3.1500 0.7500 , 2.4375 , 3.0000 , 4.1250 0.8000 , 3.2000 , 4.0000 , 5.6000 0.8500 , 4.4625 , 5.6667 , 8.0750 0.9000 , 6.9750 , 9.0000 , 13.0500 0.9500 , 14.4875 , 19.0000 , 28.0250 Problem 32 For an M / G / 2 / ∞ system: Using approximation (for m=2) √ where: System: 1 lam: 4 System: 2 lam: 4 System: 3 lam: 4 , where m is the number of identical machines available ETs: 0.400 ETs: 0.400 ETs: 0.400 u: 0.800 u: 0.800 u: 0.800 C2a: 1 C2s: 0.500 C2a: 1 C2s: 1.000 C2a: 1 C2s: 2.000 CTs: 0.9427 CTs: 1.1237 CTs: 1.4855 Note: Using approximation (for m=2) where: System: 1 lam: 4 System: 2 lam: 4 System: 3 lam: 4 , where m is the number of identical machines available ETs: 0.400 ETs: 0.400 ETs: 0.400 u: 0.800 u: 0.800 u: 0.800 C2a: 1 C2s: 0.500 C2a: 1 C2s: 1.000 C2a: 1 C2s: 2.000 CTs: 0.9333 CTs: 1.1111 CTs: 1.4667 ...
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Homework Sol Due 9-27 - Problem 30 M/G/1/∞ system lam = 4...

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