AP4.pdf - AP4 Evening 2017 92317 Friday 1:36 PM AP4 Queuing...

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Unformatted text preview: AP4 Evening 2017 92317 Friday, September 29, 2017 1:36 PM AP4: Queuing OPS 3880 Evening 2017 You need cash and FAST! You jump out of your car at a location known to have one ATM, but a history of a line. Usually you can expect to wait 250 seconds from the time you arrive until leaving with the $$. Service time averages 30 seconds. SHOW ALL WORK! Rememberingp=£, L=AW, W=—1&, Lq=pL, Wq=pW # 11—1 a. What is the utilization of the server“ % (1.0 pt) 2?: 2/H :.0?_C153$‘+/.o$3$33'-¢ : 86 7,, (baboooo'bb b. What is the expected time between people arriving to this system? -+seconds (1.0 pt) I/7l s 3%?"- Oflku'mj 1n $313th 1 0 .024353 q : sq. oq secondS 'Pcr Dam c. ow long is the line expected to be upon arrival“ people (1,0 Pt) Law Ls = 91.. L: 0.016133% 2+ 350 La =.3booo01k\ a; 7.3553: L'— 7:“. 5535: 1-‘l *- 5-“5 35‘4‘176 D cptc d. What IS t e serv1ce ra_te of the serverhpeoplefsecond (1.0 135 V:1/5uuiu hm. :1/50 Secs 2 0.033333% H: 1/6CfUKCQ Hmfi- ‘:- 1/?x’ (ch'gf- 0_0$33>3)3L\ w; Hip-13:17.50 ems 2'- 1/(.0 53mm- ‘0 :— 150 Sub 905355314 50/2503 UL"353)&>3L'-.00L‘ 1. l 1-. .0161 555a ...
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