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Published byAron Reed Modified over 9 years ago
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Set 10 due today Also c-5 due today Thurs (May 16): deadline for late homework (today’s assignments under door BB 4133 Friday before 3PM) Final exam Tues May 21 5:30-7:30 2 sheets of notes, Scantron Sets 1,9,10;C-1;short answer, mult choice
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ANSWERS set 10 WAIT LINE
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L=24 30-24 (1)(a)L=4 people in drug store
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(1)(b)Lq Lq = 24*24 30(30-24) Lq= 3.2 people waiting for service
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(1)(c) W= 1 30-24 W=.167 hr Interpret: W = 10 minutes from time you enter drug store until time you leave
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(1)(d) Wq Wq = 24 30(30-24) Wq=.13 hour Interpret: 8 minutes before service
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(1)(e) U=24/30=.80 80% efficiency P(server busy)
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(1)(f) Po=1-.8=.2 P(no waiting)
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(2) Cost of Waiting Av 3 customers arrive per hour(given) 10 hours per day(given) You compute: 30 customers/day Cost of waiting $5 per hour(given)
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WAIT COST (A)(B) #SERVED/HR60/5=1260/10=6 WAIT TIME 3 =.028 12(12-3) 3 =.167 6(6-3) DAILY WAIT TIME 30(.028)=.8330(.167)=5 WAIT COST.83(5)=$4.175(5)=$25
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Labor Cost (a)(b) Hourly wage$16$8 Labor Cost10(16)=$16010(8)=$ 80
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Total Cost (a)(b) Wait4.1725 Labor16080 Total$164.17$105=MIN
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(3) SIMULATION ARRIVALPROBCUMULARR RN 0.13 01 to 13 1.17.3014 to 30 2.15.4531 to 45 3.25.7046 to 70 4.20.9071 to 90 5.10191 to 00
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(3) MAXIMUM UNLOADED MAX UNLPROBCUMULRN UNL 1.03 01 TO 03 2.12.1504 TO 15 3.40.5516 TO 55 4.28.8356 TO 83 5.12.9584 TO 95 6.05196 TO 00
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FIRST 5 DAYS: RN ARR RNSIM ARRUNL RNSIM UNL 372694 774845 130122 100945 020513
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delay Case 1: Demand > Supply Delay = Demand – Supply Case 2: Demand < Supply Delay =0 Next slide: Demand = 2B UNL Supply = UNL
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FIRST 5 DAYS DELAYARRIV2B UNLMAX UUNL 02242 04454 00020 00050 00030
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DAYS 6-10 DELAYARRIV2B UNLMAX UUNL 01131 02232 01111 02222 04433
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DAYS 11-15 DELAYARRIV2B UNLMAX UUNL 4-3=12333 3-3=05533 5-3=24644 6-4=22433 4-3=12333
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Av number delayed per day Total delayed= 1+2+2+1= 6 Number of days = 15 Av = 6/15= 0.4
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