FINAL report

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School

Concordia University *

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Course

INDU 6311

Subject

Statistics

Date

Apr 3, 2024

Type

docx

Pages

27

Uploaded by MagistrateFinch4209

Contents Mazhar ........................................................................................................................................................ 1 Destiny/Susmita .......................................................................................................................................... 2 Destiny/Susmita .......................................................................................................................................... 3 Destiny/Susmita .......................................................................................................................................... 4 Team on Saturday (8PM) ............................................................................................................................. 5 Matt ............................................................................................................................................................. 5 Saad ............................................................................................................................................................. 6 Dhruvin ........................................................................................................................................................ 7 Team on Saturday (8PM) ............................................................................................................................. 8 Model 1 = 1ST Alternative Model 2 = 2ND Alternative Model 3 = 3RD Alternative NEXT MEETING SAT 8PM – 835H Output Analysis of Model 1 Mazhar 1. State and explain the run parameters by answering the following. a) State how many replications you ran: We ran all the three alternative with 122 number of replication. b) Provide an explanation of how you calculated the above number of replications: Initial Number of Replications = n 0 = 20 Confidence Interval = CI = 95%
Alpha = = 0.05 Based on Method 3 n = n 0 β 0 β For Alternative 1: Key Performance Indicator Average Current Half Width ( β o ) Current Error (%) Desired Half Width ( β ) No of Replications (n) Final No of Replication Wait time to see doctor without priority 20.4785 0.98 0.04785506 8 1.023925 19 32 Wait time to see nurse 2.5655 0.03 0.01169362 7 0.128275 2 Doctor wait time priority 1 15.7622 0.41 0.02601159 7 0.78811 6 Doctor wait time priority 2 17.2173 0.62 0.03601029 2 0.860865 11 Doctor wait time priority 3 24.1691 1.52 0.06289021 9 1.208455 32 Total time in system priority 1 35.2427 0.96 0.02723968 4 1.762135 6 Total time in system priority 2 36.5906 1.07 0.02924248 3 1.82953 7 Total time in system priority 3 43.5569 1.75 0.04017733 1 2.177845 13 Last Time When Patient Leaves System 628.34 10.65 0.01694942 2 31.417 3 Total Time in System for Patient 39.7211 1.14 0.02870011 2 1.986055 7 For Alternative 2: Key Performance Indicator Average Current Half Width ( β o ) Current Error (%) Desired Half Width ( β ) No of Replications (n) Final No of Replication Wait time to see doctor without priority 52.4926 5.11 0.097347055 2.62463 76 Wait time to see appointment doctor without priority 47.8589 3.92 0.08190744 2.392945 54 Wait time to see nurse 2.811 0.06 0.021344717 0.14055 4 Doctor wait time priority 1 19.574 0.75 0.038316134 0.9787 12 Doctor wait time priority 2 26.0451 1.21 0.046457875 1.302255 18 Doctor wait time priority 80.4677 9.39 0.116692785 4.023385 109
3 122 Doctor wait time priority 1 appointment patient 48.0727 5.93 0.123354835 2.403635 122 Doctor wait time priority 2 appointment patient 48.5123 4.16 0.085751449 2.425615 59 Doctor wait time priority 3 appointment patient 47.3924 3.8 0.080181632 2.36962 52 Total time in system priority 1 48.3294 2.5 0.051728348 2.41647 22 Total time in system priority 2 52.5132 1.52 0.028945103 2.62566 7 Total time in system priority 3 89.2476 6.53 0.073167234 4.46238 43 Last Time When Patient Leaves System 742.95 24.87 0.033474662 37.1475 9 Total Time in System for Patient 57.1716 3.56 0.062268679 2.85858 32 Total Time in System for Appointment Patient 66.9744 4.18 0.062411907 3.34872 32 For Alternative 3 : Key Performance Indicator Average Current Half Width ( β o ) Current Error (%) Desired Half Width ( β ) No of Replications (n) Final No of Replication Wait time to see doctor without priority 55.4494 5 0.090172301 2.77247 66 88 Wait time to see appointment doctor without priority 17.9753 0.3 0.016689568 0.898765 3 Wait time to see nurse 2.8036 0.03 0.010700528 0.14018 1 Doctor wait time priority 1 21.4001 0.98 0.045794179 1.070005 17 Doctor wait time priority 2 28.7041 2.04 0.071069987 1.435205 41 Doctor wait time priority 3 82.7143 8.67 0.104818635 4.135715 88 Doctor wait time priority 1 appointment patient 17.958 0.78 0.043434681 0.8979 16 Doctor wait time priority 2 appointment patient 17.8941 0.4 0.022353737 0.894705 4 Doctor wait time priority 3 appointment patient 18.0324 0.37 0.020518622 0.90162 4 Total time in system priority 1 39.3832 1.11 0.028184607 1.96916 7
Total time in system priority 2 45.0381 1.66 0.036857683 2.251905 11 Total time in system priority 3 81.2205 5.91 0.072764881 4.061025 43 Last Time When Patient Leaves System 695.34 18.3 0.02631806 34.767 6 Total Time in System for Patient 59.3934 3.5 0.058929107 2.96967 28 Total Time in System for Appointment Patient 37.3242 0.67 0.01795082 1.86621 3 So we maximum form all the three alternatives which is 122. c) Insert a screenshot of your run parameters (should match your model!):
2. Present a table of 95% confidence intervals for all major performance metrics in table format, corresponding to the setting above. (Note I am not listing all performance metrics, you can add all the ones you used in your analysis.) Destiny/Susmita Alternative 1: Performance Metric Average 95% Confidence Interval Wait time to see Nurse 3.06 [3.0279, 3.0921] Wait time to see Doctor Priority 1 Patient 18.3 [18.113, 18.487] Priority 2 Patient 22.2 [21.895, 22.505] Priority 3 Patient 66.2 [63.36, 69.04] Total time in the system Priority 1 Patient 38 [37.653, 38.347] Priority 2 Patient 41.8 [41.411, 42.189] Priority 3 Patient 85.7 [ 82.78, 88.62] Average Nurse Queue Time (Waiting Time) 0.617 [0.588, 0.646] Last Time when patient leaves the system 707 Average Doctor Queue Time (Waiting Time) 30.1 [28.58, 31.62] Average Doctor Queue Time without Priority (Waiting Time) 43.9 [42.38, 45.52]
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