According to the book the answers are (a)0.11 (b) 0.25 Number of CenterStages, kTABLE 5.5 Comparison of Blocking Probability Analyses (p = 0.1)aSpace Expansion,βJacobaeusEquation 5.10LeeEquation 5.860.3750.00970.02780.52.8 × 10-48.6 × 10-4100.6254.9 × 10-61.5 x 10-5120.755.7 × 10-81.4 x 10-7140.8754.0 × 10-107.8 × 10-10161.02.9 × 10-122.9 × 10-12aSwitch size N = 512; inlet group size n = 16; inlet utilization p = 0.1. 5.3 Determine the Lee graph and Jacobaeus blocking probabilities of the first switchin Table 5.5 (k = 6) if two inlets out of 16 become connected to 1-erlang sub-scribers. (Possibly these lines could be dial-up ports to a computer.) (Hint: Twoinlets are permanently busy but the remaining inlets continue to be 0.1-erlangports.)

Step 1: Step 2: Step 3: Step 4:

Answered: Number of Center Stages, k TABLE 5.5…

EBK ELECTRICAL WIRING RESIDENTIAL

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Author:Simmons

Publisher:Simmons

Chapter12: Lighting Branch Circuit And Small-appliance Circuits For The Kitchen

Section: Chapter Questions

Problem 5R: a. What is the minimum number of 20-ampere small-appliance circuits required for a kitchen according...

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Question

According to the book the answers are
(a)0.11 (b) 0.25

Number of Center
Stages, k
TABLE 5.5 Comparison of Blocking Probability Analyses (p = 0.1)a
Space Expansion,
β
Jacobaeus
Equation 5.10
Lee
Equation 5.8
6
0.375
0.0097
0.027
8
0.5
2.8 × 10-4
8.6 × 10-4
10
0.625
4.9 × 10-6
1.5 x 10-5
12
0.75
5.7 × 10-8
1.4 x 10-7
14
0.875
4.0 × 10-10
7.8 × 10-10
16
1.0
2.9 × 10-12
2.9 × 10-12
aSwitch size N = 512; inlet group size n = 16; inlet utilization p = 0.1.

5.3 Determine the Lee graph and Jacobaeus blocking probabilities of the first switch
in Table 5.5 (k = 6) if two inlets out of 16 become connected to 1-erlang sub-
scribers. (Possibly these lines could be dial-up ports to a computer.) (Hint: Two
inlets are permanently busy but the remaining inlets continue to be 0.1-erlang
ports.)

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