Random Values for Interarrival Time 0.6216799722 0.054688108 0.0149120239 0.2989803948 0.1038660089 0.8634759632 0.8084129327 0.8615835162 0.5293685048 0.1824885527 0.347159655 0.208496257 0.726980234 0.6958285495 0.4419723689 0.2944018975 0.3876864384 0.4081265966 0.6418857519 0.9085709906 0.4224761842 0.8140555227 0.1000755748 0.190518882 0.2933591158 0.1296904863 0.132227969 0.3600538779 0.4048529715 0.5095254157 0.6556442566 0.1009535067 0.851455952 0.0238126032 0.6737738749 0.5382422769 0.4825355141 0.8263589467 0.7611067024 0.6887691305 0.3382660592 0.1335499603 0.7381211863 0.4405928315 0.8911286023 0.7342371703 Random Values for Service Time 0.9540317906 0.9790235685 0.8166642599 0.1035427171 0.27335628 0.1200640709 0.8454057029 0.2804967841 0.8515653607 0.4150147178 0.244377389 0.9544130635 0.9948471394 0.1753638014 0.0058467289 0.4282632125 0.4634867086 0.0121819475 0.9475941641 0.8480702343 0.827177062 0.0968674325 0.1744185938 0.8535575129 0.0298627957 0.9082282627 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0.6848896839 0.7282360705 0.7399727727 0.0479163024 0.3880868811 0.5883012307 0.6633184137 0.4241047982 0.7982171805 0.0297554633 0.4976479489 0.7396002917 0.6310042328 0.4592908355 0.4091611076 0.1629265812 0.5767864575 0.1318778851 0.9408252804 0.7305825243 0.0759665537 0.8331058532 0.1130511347 0.9565139261 0.2987491062 0.1335635404 0.2693406422 0.4680940953 0.8158938729 0.4486565393 0.4504734643 0.3318268352 0.4289577091 0.7724899738 0.5393477142 0.3834775254 0.5046055767 0.5842879602 0.1676779859 0.7227374653 0.0188180711 0.7309111659 0.4804791974 0.0054388749 0.5981397422 0.8165698554 0.8748449561 0.7067224362 0.1148801084 0.78377685 0.6409787576 0.6802643966 0.555756234 0.9652926973 0.8837771154 0.6670418915 0.6279161539 0.2399591733 0.3329248022 0.9443070914 0.0898332741 0.682481968 0.0275586423 0.2125547347 0.1918931139 0.580900729 0.0301850329 0.5672706511 0.4063151666 0.3745262009 0.7340633106 0.6385263951 0.0496895394 0.6066070144 0.5028790271 0.1910296298 0.4705275396 0.6217209901 0.6634701864 0.8804836258 0.2416036226 0.1824838549 0.0422328872 0.1486844431 0.3524549855 0.9654491696 0.4985087154 0.7093514946 0.8418937564 0.8361534959 0.7516795938 0.952707832 0.9486464438 0.8518455636 0.7091719685 0.3939061554 0.8614896193 0.9469582688 0.779673715 0.8271029974 0.1856380531 0.1346473746 0.6429863853 0.9718249039 0.9988676938 0.7313101551 0.7994201209 0.5436300286 0.9691685213 0.7861605177 0.3488320967 0.1510562894 0.7148531538 0.5793545894 0.3690902147 0.344938216 0.5643447132 0.0703264602 0.8988650752 0.7862689608 0.7905467418 0.6547556461 0.55090808 0.87972105 0.9367676395 0.798466978 0.5135143354 0.6545414858 0.3390109832 0.8334186981 0.2810299777 0.9784514525 0.2351577288 0.3105148427 0.7305312075 0.6175317467 0.115233093 0.005025246 0.7424354022 0.8020772833 0.6742176062 0.3306848845 0.7407144685 0.6169051004 0.3110011584 0.1221860496 0.4303614206 0.7326874611 0.9956594758 0.6092241602 0.6915878407 0.1035039664 0.2154404124 0.6584259244 0.7000076216 0.4410897114 0.1105459445 0.3224783372 0.7972486917 0.4043196723 0.7713502581 0.5313078174 0.8165901694 0.4354945675 0.9529641404 0.4229782566 0.5658790375 0.2255388159 0.3012662946 0.0985455715 0.6234768405 0.31781765 0.712254951 0.5816832294 0.1019286424 0.5580827288 0.4324036705 0.407494841 0.2958921288 0.4694027177 0.9886596432 0.3082529683 0.3093847533 0.8712966019 0.9891771597 0.25097099 0.8879929162 0.6061458056 0.2498054069 0.1226089428 0.7282083574 0.2726991005 0.3527469506 0.4336832506 0.1148091331 0.1603315783 0.696667885 0.2961560876 0.5480380961 0.6529016461 0.2802333219 0.8583481945 0.1896003195 0.6394697795 0.0462869641 0.443512792 0.1779285498 0.1462865589 0.8109432485 0.8686291366 0.9757429282 0.1798547577 0.4992217338 0.5280961594 0.4181139735 0.0656479769 0.546013944 0.141353742 0.1652842072 0.8377478016 0.520044727 0.2537342315 0.9351210403 0.6739129876 0.1702608992 0.9100790941 0.2908311805 0.248148378 0.786885657 0.0324905369 0.1063860114 0.2621532355 0.1555300376 0.4676914557 0.1835989245 0.1804044578 0.0010998701 0.1016353244 0.5901344766 0.1522019512 0.0979218628 0.5562502017 0.4697779591 0.9082109946 0.1651337126 0.7500524181 0.9393324298 0.4707679619 0.1104555852 0.9413340808 0.6148743341 0.3312624615 0.860897517 0.9111347873 0.5399057404 0.2745087401 0.1241646601 0.2315931075 0.3355736506 0.2231553353 0.0226026748 0.1363082081 0.1021925102 0.6650668995 0.6285115826 0.3132402877 0.0850755331 0.5829610615 0.0962455681 0.783690246 0.7299817967 0.5660470244 0.942572758 0.5327346339 0.4527788907 0.7038325985 0.554077365 0.1350237806 0.1069667762 0.5087300376 0.5290564246 0.2246615581 0.4186415273 0.220351526 0.0003094711 0.9564744828 0.235193093 0.0059243326 0.1763728658 0.9679052603 0.392591124 0.6096276205 0.5386319452 0.0383839757 0.4855885034 0.00082176 0.6790605119 0.4794712798 0.900127678 0.3844146135 0.1472976588 0.7505297978 0.920689432 0.5784944036 0.6674078909 0.0037012297 0.8846273826 0.2240876566 0.7822282033 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0.6713919054 0.2167424455 0.3209127377 0.3938527113 0.5994226197 0.780817834 0.6432513189 0.8510325755 0.3268650716 0.5120833591 0.4168559082 0.2375758275 0.9981634988 0.5290601039 0.9228142748 0.2135625137 0.6447975078 0.3000389757 0.4548299845 0.3677115855 0.5458874277 0.4431652979 0.5773448769 0.2230643223 0.5203892952 0.1442804107 0.6394069724 0.6577755594 0.7650340212 0.0580938171 0.3726212132 0.4843234178 0.0181598846 0.2255185377 0.750140386 0.3978543895 0.0065127599 0.7959166895 0.3611921914 0.3586592214 0.4393305587 0.9820275215 0.4051680864 0.4132055312 0.4363567705 0.4520798441 0.8494440971 0.4530339546 0.9070089416 0.9559403853 0.1793756785 0.6390509891 0.7499436304 0.7952017417 0.9835704385 0.7707989869 0.2451331098 0.3580500942 0.0878714673 0.3374761506 0.6877273633 0.3806923129 0.1399800692 0.9707796316 0.7581271703 0.1963590543 0.3586092282 0.3654771009 0.7510203869 0.7030122761 0.3230263534 0.6979006598 0.8647106862 0.3056457228 0.9286997377 0.6599402841 0.1267222327 The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute. 1. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in the worksheet_1223. Assuming that customer arrivals follow a Poisson probability distribution, the interarrival times can be simulated with the cell formula -(1/)*LN(RAND()), where = 0.75. Assuming that the service time follows an exponential probability distribution, the service times can be simulated with the cell formula -*LN(RAND()), where = 1. Run the Burger Dome simulation for 1000 customers. Discard the first 100 customers and collect data over the next 900 customers. The analytical model indicates an average waiting time of 3 minutes per customer. What average waiting time does your simulation model show? Round your answer to 3 decimal places. ?? minutes 2. One advantage of using simulation is that a simulation model can be altered easily to reflect other assumptions about the probabilistic inputs. Assume that the service time is more accurately described by a normal probability distribution with a mean of 1 minute and a standard deviation of 0.2 minutes. This distribution has less service time variability than the exponential probability distribution used in part (a). What is the impact of this change on the average waiting time? Round your answer to 3 decimal places. ?? minutes The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute. 1. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in the worksheet_1223. Assuming that customer arrivals follow a Poisson probability distribution, the interarrival times can be simulated with the cell formula -(1/)*LN(RAND()), where = 0.75. Assuming that the service time follows an exponential probability distribution, the service times can be simulated with the cell formula -*LN(RAND()), where = 1. Run the Burger Dome simulation for 1000 customers. Discard the first 100 customers and collect data over the next 900 customers. The analytical model indicates an average waiting time of 3 minutes per customer. What average waiting time does your simulation model show? Round your answer to 3 decimal places. The average waiting time that my simulation model show is 1.581 min. 1.581 minutes 2. One advantage of using simulation is that a simulation model can be altered easily to reflect other assumptions about the probabilistic inputs. Assume that the service time is more accurately described by a normal probability distribution with a mean of 1 minute and a standard deviation of 0.2 minutes. This distribution has less service time variability than the exponential probability distribution used in part (a). What is the impact of this change on the average waiting time? Round your answer to 3 decimal places. 1.576 minutes Random Values for Interarrival Time 0.6216799722 0.054688108 0.0149120239 0.2989803948 0.1038660089 0.8634759632 0.8084129327 0.8615835162 0.5293685048 0.1824885527 0.347159655 0.208496257 0.726980234 0.6958285495 0.4419723689 0.2944018975 0.3876864384 0.4081265966 0.6418857519 0.9085709906 0.4224761842 0.8140555227 0.1000755748 0.190518882 0.2933591158 0.1296904863 0.132227969 0.3600538779 0.4048529715 0.5095254157 0.6556442566 0.1009535067 0.851455952 0.0238126032 0.6737738749 0.5382422769 0.4825355141 0.8263589467 0.7611067024 0.6887691305 0.3382660592 0.1335499603 0.7381211863 0.4405928315 0.8911286023 Random Values for Service Time 0.9540317906 0.9790235685 0.8166642599 0.1035427171 0.27335628 0.1200640709 0.8454057029 0.2804967841 0.8515653607 0.4150147178 0.244377389 0.9544130635 0.9948471394 0.1753638014 0.0058467289 0.4282632125 0.4634867086 0.0121819475 0.9475941641 0.8480702343 0.827177062 0.0968674325 0.1744185938 0.8535575129 0.0298627957 0.9082282627 0.9143433055 0.3998632483 0.1391462314 0.152320825 0.1320854538 0.7354461761 0.4316096371 0.7138125116 0.2747602269 0.8185866358 0.4382995445 0.7236819803 0.6239785456 0.1576743126 0.8986417178 0.8448112487 0.1289265187 0.7080483592 0.8217881338 Interarrival Time Service Time (in min) (in min) 0.6337731105 0.0470582846 3.8748119962 0.0211995627 5.6074498927 0.2025272111 1.6098363693 2.2677710257 3.0195381154 1.2969792798 0.1957189577 2.1197297544 0.2835763942 0.167938645 0.19864438 1.2711930189 0.8480939777 0.1606790223 2.2680904439 0.8794412948 1.4106273388 1.4090415725 2.0904455863 0.0466587206 0.4251413203 0.0051661823 0.4835359811 1.740892598 1.088677217 5.141872937 1.6304125956 0.84801729 1.2634112193 0.7689775705 1.1949038225 4.407800139 0.5911265969 0.0538289653 0.127843005 0.1647918231 1.1488296033 0.1897365053 0.2743022741 2.3344119102 3.0691061733 1.7462971574 2.2106719619 0.1583423542 1.6351436923 3.5111418638 2.7234727223 0.0962595413 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