Linear Prog COP4355_Part_54

# Linear Prog COP4355_Part_54 - Chapter 18 Markov Analysis...

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220 Chapter 18 Markov Analysis 18.4 18.5 Telco = .44 x 10,000 = 4400 customers LDF = .36 x 10,000 = 3600 customers Neither= .20 x 10,000 = 2000 customers ( ) From: Telco LDF Neither Telco .6 .4 .4 .2 .44 LDF .3 .5 .3 .3 .36 Neither .1 .1 .3 .5 .20                     ( ) ( ) 0 1 2 From: V H V .85 .05 .5 .45 .41 To: H .15 .95 .5 .55 .59 MTP MS MS MS             0 -.05 1 1 .05 V's equilibrium share = = = .25 .15 -.05 .2 1 1 .15 0 .10 1 .15 H's equilibrium share = = = .75 .2 .2

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Solutions Manual and Workbook 221 18.5 (continued) .6 .4 .4 T T .3 .5 .3 L = L .1 .1 .3 N N .6T + .4L + .4N = T .3T + .5L + .3N = L .1T + .1L + .3N = N -.4T + .4L + .4N = 0 .3T - .5L + .3N = 0 T + L + N = 1           0 .4 .4 0 -.5 .3 1 1 1 .32 T = = = .5 -.4 .4 .4 .64 .3 -.5 .3 1 1 1 -.4 0 .4 .3 0 .3 1 1 1 .24 L = = = .375 .64 .64 -.4 .4 0 .3 -.5 0 1 1 1 .08 N = = .64 .64 = .125 At equilibrium: Telco = .5 x 10,000 = 5,000 customers LDF = .375 x 10,000 = 3,750 customers
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