Question: 3. (2 points) Use queueing theory. National Bank is trying to decide how many drive-in teller windows to open on a busy Saturday. Manager Tod

3. (2 points) Use queueing theory. National Bank

3. (2 points) Use queueing theory. National Bank is trying to decide how many drive-in teller windows to open on a busy Saturday. Manager Tod Eschenbach estimates that customers arrive at a rate of 1 = 16 per hour and that each teller can service u = 20 customers per hour. a. What is the optimum number of teller window(s) to open if the manager wants average number of customers in line is less than 0.05 customers? [Use table D.5) b. What is the average waiting time in the queue for the above optimum scenario (in minutes)? OPERATIONS ANALYTICS TABLED.S Values of L, for C - 15 Servers (channels) and Selected Values of y POISSON ARRIVALS, EXPONENTAL SERVICE TIMES NUMBER OF SERVERS (CHANNELS 2 0111 10 DOOB 15 20 25 .6264 0500 0020 0933 0039 30 1285 0069 35 0110 .40 2666 0166 0279 45 0019 50 033 .0030 55 0449 .0043 50 5000 6722 9000 1.2071 1.6333 2.2500 3.2000 0061 0084 55 .70 0767 0976 .75 1227 .01 12 .0147 .0189 80 1523 85 4.8166 0239 0031 1873 .2285 90 81000 .0300 0041 18.0500 .2767 .0371 0053 95 10 3333 0454 0067 12 .6748 0904 .0158 1.4 1.3419 . 1778 .0324 .0059 2.844 .3128 .0604 .0121 1.6 1.8 7,6734 5320 1051 0227 BRAR 1739 0398 2.0 22 1.4907 2770 0659 24 4305 1047 2.1261 49322 26 1609 6581 10000 12.2724 .2411 28 30 1.5282 .3541 32 2.3856 .5128 3.4 3.9060 .7365 3.5 7,0899 1.0550 1.5194 3.8 16.9366 4,0 2.2164 3.3269 42 5.2675 4.6 9.2885 4.8 21.6384

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