Monte Carlo Methods Focus on the Project: Enter mean time between arrivals for variable A in cell B31 of the sheet 1 ATM for the Excel file Queue Focus.xls.

Monte Carlo Methods Focus on the Project: The formula in cell G35 of the sheet 1 ATM for the Excel file Queue Focus.xls needs to be changed Original: =IF(ISNUMBER(F35),VLOOKUP(RANDBETWEEN(1, 7634 ), Data!$G$45:Data!$H$ 7678,2),"")

Monte Carlo Methods Focus on the Project: Change the numbers indicated to match your data Copy your new formula into cells G36:G194

Monte Carlo Methods Focus on the Project: Note that my simulation (from my posted SampleData.xls) must accommodate 170 customers Drag the information in cells B195:C195 down until the last value in column B is one more than the number of customers (for me, 171)

Monte Carlo Methods Focus on the Project: Drag the information in cells E195:F195 down until the last values are at the same row as the values in columns B and C. Drag the information in cells G195:L195 down until the last values are one row above the values in columns E and F.

Monte Carlo Methods Focus on the Project: The finished columns E through L should look like: Note: columns E and F have one extra cell

Monte Carlo Methods Focus on the Project: Cells Y351 and Y352 should be copied and pasted several times My simulation must accommodate 170 customers (compared to 160 from the original class file) This means I must copy and paste Y351 and Y352 ten times

Monte Carlo Methods Focus on the Project: Cell Y351 is blank, so new cells Y353, Y355, Y357, etc. will also be blank Cell Y352 contained the formula =($F$194<=I35)

Monte Carlo Methods Focus on the Project: Cell Y352 contained the formula =($F$194<=I35) Cell Y354 should have the formula =($F$195<=I35) Cell Y356 should have the formula =($F$196<=I35) Cell Y358 should have the formula =($F$197<=I35) And so on … (Be careful, you must carefully change all of the new formulas)

Monte Carlo Methods Focus on the Project: Finally, we need to modify the formulas in cells N35:S35 N35 contains (# of customers plus 1) =IF(MAX(E35:E 195 )= 161,"Overflow",MAX(E35:E 195 )) (new ending cell in column E)

Monte Carlo Methods Focus on the Project: O35 contains =SUM(J35:J 194 ) (new ending cell in column J) P35 contains =MAX(J35:J 194 ) (new ending cell in column J)

Monte Carlo Methods Focus on the Project: Q35 contains =COUNTIF(K35:K 194,”yes”) (new ending cell in column K) R35 contains =SUM(L35:L 194 ) (new ending cell in column L)

Monte Carlo Methods Focus on the Project: S35 contains =SUM(L35:L 194 ) (new ending cell in column L)

Monte Carlo Methods Focus on the Project: Note: the new formula in the new cells in column L need to be changed: Old formula: (cell L194) =IF(ISNUMBER(F194),DCOUNT($I$34:I193,,Y351:Y352),"")

Monte Carlo Methods Focus on the Project: Cell L194 stays the same, all new cells afterward change Cell L195 orginially: =IF(ISNUMBER(F194),DCOUNT($I$34:I193,,Y352:Y353),"") Cell L195 new: =IF(ISNUMBER(F194),DCOUNT($I$34:I193,,Y353:Y354),"")

Monte Carlo Methods Focus on the Project: Cell L196 orginially: =IF(ISNUMBER(F194),DCOUNT($I$34:I193,,Y353:Y354),"") Cell L196 new: =IF(ISNUMBER(F194),DCOUNT($I$34:I193,,Y355:Y356),"") The remaining values in the next L cell should start with the next odd number and finish with the next even number (i.e., Y357:Y358, then Y359:Y360, etc.)

Monte Carlo Methods Focus on the Project: Now run the simulation One_ATM (Tools, Macro, Macros)

Monte Carlo Methods Focus on the Project: A summary of possible answers to five of the six claims appears in cells: P39 (Max waiting time) S39 (Max number in queue) U39 (Mean waiting time) V39 (Percent delayed) W39 (Mean number in queue)

Monte Carlo Methods Focus on the Project: The final claim (percent irritated) must be answered and will be addressed later. Now modify the worksheet 2 ATMs Note: the following cells must be changed

Monte Carlo Methods Focus on the Project: Cell B30 (Mean arrival time) B195:C195 (Allowable customers – orig. 160 customers) Formulas from cells E194 and F194 need to be copied down

Monte Carlo Methods Focus on the Project: Formulas from cells G194 through Q194 need to be copied down You must fix the formulas in columns G, H and K Column G: =IF(ISNUMBER(F194),VLOOKUP(RANDBETWEEN(1, 7634 ),Data!$G$45: Data!$H$ 7678,2),"") Column H: =IF(ISNUMBER(F194),DCOUNT($J$34:J193,, AG351:AG352 ),"") Column K: =IF(ISNUMBER(F194),DCOUNT($M$34:M193,, AJ351:AJ352 ),"")

Monte Carlo Methods Focus on the Project: Change all formulas in cells S35 through Z35 In cell S35: =IF(MAX(E35:E 195 )= 161,"Overflow",MAX(E35:E 195 )) In cell T35: =SUM(N35:N 194 )

Monte Carlo Methods Focus on the Project: In cell U35: =MAX(N35:N 194 ) In cell V35: =COUNTIF(O35:O 194,"yes") In cell W35: =SUM(P35:P 194 )

Monte Carlo Methods Focus on the Project: In cell X35: =MAX(P35:P 194 ) In cell Y35: =SUM(Q35:Q 194 ) In cell Z35: =MAX(Q35:Q 194 )

Monte Carlo Methods Focus on the Project: Copy down extra cells after AG351:AG352 and AJ351:AJ352 Fix the formulas in the even cells (354, 356, 358, etc.) Run the macro Two_ATMs

Monte Carlo Methods Focus on the Project: A summary of possible answers to five of the six claims appears in cells: U39 (Max waiting time) Z39 (Max present) AB39 (Mean waiting time) AC39 (Percent delayed) AD39 (Mean number in queue)

Monte Carlo Methods Focus on the Project: The final claim (percent irritated) must be answered and will be addressed later. Now modify the worksheet 3 ATMs Note: the following cells must be changed

Monte Carlo Methods Focus on the Project: Cell B30 (Mean arrival time) B195:C195 (Allowable customers – orig. 160 customers) Formulas from cells E194 and F194 need to be copied down

Monte Carlo Methods Focus on the Project: Formulas from cells G194 through T194 need to be copied down You must fix the formulas in columns G, H, K, and N Column G: =IF(ISNUMBER(F194),VLOOKUP(RANDBETWEEN(1, 7634 ),Data!$G$45: Data!$H$ 7678,2),"") Column H: =IF(ISNUMBER(F194),DCOUNT($J$34:J193,, AJ351:AJ352 ),"")

Monte Carlo Methods Focus on the Project: Column K: =IF(ISNUMBER(F194),DCOUNT($M$34:M193,, AM351:AM352 ),"") Column N: =IF(ISNUMBER(F194),DCOUNT($P$34:P193,, AP351:AP352 ),"")

Monte Carlo Methods Focus on the Project: Change all formulas in cells V35 through AC35 In cell V35: =IF(MAX(E35:E 195 )= 161,"Overflow",MAX(E35:E 195 )) In cell W35: =SUM(Q35:Q 194 )

Monte Carlo Methods Focus on the Project: In cell X35: =MAX(Q35:Q 194 ) In cell Y35: =COUNTIF(R35:R 194,"yes") In cell Z35: =SUM(S35:S 194 )

Monte Carlo Methods Focus on the Project: In cell AA35: =MAX(S35:S 194 ) In cell AB35: =SUM(T35:T 194 ) In cell AC35: =MAX(T35:T 194 )

Monte Carlo Methods Focus on the Project: Copy down extra cells after AJ351:AJ352, AM351:AM352, and AP351:AP352 Fix the formulas in the even cells (354, 356, 358, etc.) Run the macro Three_ATMs

Monte Carlo Methods Focus on the Project: A summary of possible answers to five of the six claims appears in cells: X39 (Max waiting time) AC39 (Max present) AE39 (Mean waiting time) AF39 (Percent delayed) AG39 (Mean number in queue)

Monte Carlo Methods Focus on the Project: The final claim (percent irritated) must be answered and will be addressed later. Now modify the worksheet 3 ATMs Serpentine Note: the following cells must be changed

Monte Carlo Methods Focus on the Project: Cell B30 (Mean arrival time) B195:C195 (Allowable customers – orig. 160 customers) Formulas from cells E194 and F194 need to be copied down

Monte Carlo Methods Focus on the Project: Formulas from cells G194 through T194 need to be copied down You must fix the formulas in columns G, H, K, and N Column G: =IF(ISNUMBER(F194),VLOOKUP(RANDBETWEEN(1, 7634 ),Data!$G$45: Data!$H$ 7678,2),"") Column H: =IF(ISNUMBER(F194),DCOUNT($J$34:J193,, AJ351:AJ352 ),"")

Monte Carlo Methods Focus on the Project: Column K: =IF(ISNUMBER(F194),DCOUNT($M$34:M193,, AM351:AM352 ),"") Column N: =IF(ISNUMBER(F194),DCOUNT($P$34:P193,, AP351:AP352 ),"")

Monte Carlo Methods Focus on the Project: Change all formulas in cells V35 through AC35 In cell V35: =IF(MAX(E35:E 195 )= 161,"Overflow",MAX(E35:E 195 )) In cell W35: =SUM(Q35:Q 194 )

Monte Carlo Methods Focus on the Project: In cell X35: =MAX(Q35:Q 194 ) In cell Y35: =COUNTIF(R35:R 194,"yes") In cell Z35: =SUM(S35:S 194 )

Monte Carlo Methods Focus on the Project: In cell AA35: =MAX(S35:S 194 ) In cell AB35: =SUM(T35:T 194 ) In cell AC35: =MAX(T35:T 194 )

Monte Carlo Methods Focus on the Project: Copy down extra cells after AJ351:AJ352, AM351:AM352, and AP351:AP352 Fix the formulas in the even cells (354, 356, 358, etc.) Run the macro Three_ATMs_Serpentine

Monte Carlo Methods Focus on the Project: A summary of possible answers to five of the six claims appears in cells: X39 (Max waiting time) AC39 (Max present) AE39 (Mean waiting time) AF39 (Percent delayed) AG39 (Mean number in queue)

Monte Carlo Methods Focus on the Project: The final claim (percent irritated) must be answered and will be addressed later. Save this document in one folder (do not change the name from Queue Focus.xls)

Monte Carlo Methods Focus on the Project: Summary (9 am) Mean Wait Time Max Wait Time Percent Delayed Mean # in Queue Max # in Queue Percent Irritated 1 ATM % TBD 2 ATMs %7.167TBD 3 ATMs %1.029TBD 3 ATMs Serp %2.331TBD Claims % %

Monte Carlo Methods Focus on the Project: Once you have saved the file in a folder, create a new folder for your 9 pm data Save the Queue Focus.xls file in your new folder

Monte Carlo Methods Focus on the Project: Modify the Queue Focus.xls file for your 9 pm data This only requires a change of the cell B31 (mean arrival) in the worksheet 1 ATM and a change of the cell B30 (mean arrival) in the worksheets 2 ATMs, 3 ATMs, and 3 ATMs Serpentine

Monte Carlo Methods Focus on the Project: Summary (9 pm) Mean Wait Time Max Wait Time Percent Delayed Mean # in Queue Max # in Queue Percent Irritated 1 ATM %0.910TBD 2 ATMs %0.56TBD 3 ATMs %0.06TBD 3 ATMs Serp %0.06TBD Claims % %