3325p11hs d waiting line

083 wq 0415 hour 2 25 minutes average time a car

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Unformatted text preview: er of cars in the system LS 3 / 4 3 = = hour λ 2 8 = 22.5 minutes average time a car spends in the system WS = λ329 8 1 =−= − = µ 4 3 12 12 12 = .083 average numner of cars in the queue (waiting) L q .083 Wq = = = .0415 hour λ 2 = 2.5 minutes average time a car spends in the queue (waiting) Lq = LS − D – 37 Multiple-Server Example SINGLE SERVER TWO SERVERS (CHANNELS) P0 .33 .5 Ls 2 cars .75 cars Ws 60 minutes 22.5 minutes Lq 1.33 cars .083 cars Wq 40 minutes 2.5 minutes D – 38 Waiting Line Tables Values of Lq for M = 1-5 Servers (channels) and Selected Values of λ/μ POISSON ARRIVALS, EXPONENTIAL SERVICE TIMES NUMBER OF SERVICE CHANNELS, M λ/μ 1 .10 .0111 .25 .0833 .0039 .50 .5000 .0333 .0030 .75 2.2500 .1227 .0147 .90 8.1000 .2285 .0300 .0041 1.0 .3333 .0454 .0067 1.6 2.8444 .3128 .0604 .0121 2.0 .8888 .1739 .0398 2.6 4.9322 .6581 .1609 1.5282 .3541 3.0 4.0 2 3 4 5 2.2164 D – 39 Waiting-Line Table Example Bank tellers and customers λ = 18, µ = 20 Ratio λ /µ = .90 Wq = Lq λ From Table D.5 NUMB...
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