master card case solution

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max. avg waiting time 0.125263 1/2 hours 0.033333 1/2 hours Wq max Lq 3.757895 min 1 min Lq where

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Master Card case solution. Operations Management. Queuing concepts.

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Page 1: Master Card Case Solution

max. avg waiting time0.125263 1/2 hours 0.033333 1/2 hours Wq max 0.033333

Lq 0.6333333.757895 min 1 min

Lq <=where lam/mu

Page 2: Master Card Case Solution

Indianpolis

Groups Period Start End Arrivals Req No. of emp1/2 hours G-01 1 8:00 8:30 19 5 0 5

G-02 2 8:30 9:00 45 10 0 10G-03 3 9:00 9:30 42 9 -1 10

1.933333 G-04 4 9:30 10:00 58 12 0 129.666667 G-05 5 10:00 10:30 58 12 -3 15

G-06 6 10:30 11:00 50 11 -4 15G-07 7 11:00 11:30 63 13 -2 15G-08 8 11:30 12:00 42 9 -6 15G-09 9 12:00 12:30 31 8 -7 15G-10 10 12:30 13:00 24 6 -9 15G-01 11 13:00 13:30 30 7 -8 15G-02 12 13:30 14:00 60 13 -2 15G-03 13 14:00 14:30 44 10 -5 15G-04 14 14:30 15:00 49 11 -4 15G-05 15 15:00 15:30 29 7 -8 15G-06 16 15:30 16:00 45 10 -5 15G-07 17 16:00 16:30 26 7 -3 10G-08 18 16:30 17:00 17 5 0 5G-09 19 17:00 17:30 15 5 0 5G-10 20 17:30 18:00 2 2 -1 3

Day 8:00 18:00 749 172

1/2 hours hoursInd 172 86Kansas 117 58.5Dallas 98 49

Total 193.5 hours

Centralised 152.5 hours

Saving 41 hoursSalary 30000Days 240hours/day 8An. Hours 1920Hourly wag 15.625 41

Saving 640.625 per day153750 per year

Servers needed

Page 3: Master Card Case Solution

0.153 mn $

Page 4: Master Card Case Solution

Kansas

Start Exit Arrivals Req No. of empStart Exit5 22 5 0 5 55 32 8 0 8 3

25 6 -2 8

2 20 6 -2 83 18 5 -3 8

31 8 0 818 5 -3 823 6 -2 840 9 0 9 125 6 -3 916 5 -4 920 6 -3 931 8 -1 918 5 -4 913 4 -5 923 6 -3 9

5 26 7 0 7 3 55 11 4 0 4 30 19 5 0 5 1 02 5 3 -2 5 0

15 436 117 13

Servers needed

Page 5: Master Card Case Solution

Dallas Combined

Arrivals Req No. of empStart Exit Arrivals Req17 5 0 5 5 1 58 12 030 7 0 7 2 2 107 21 028 7 0 7 3 95 19 -2

16 5 -2 7 4 94 19 -227 7 0 7 5 103 20 -127 7 0 7 6 108 21 022 6 -1 7 7 103 20 -130 7 0 7 8 95 19 -215 5 -2 7 9 86 17 -412 4 -3 7 10 61 13 -814 4 -3 7 11 60 13 -818 5 -2 7 12 98 19 -223 6 -1 7 13 98 19 -215 5 -2 7 14 82 16 -511 4 -3 7 15 53 11 -106 3 -4 7 16 74 15 -67 4 0 4 2 5 17 59 12 05 3 0 3 1 2 18 33 8 02 2 -1 3 0 19 36 8 02 2 -1 3 0 20 9 3 -5

327 98 10 1512 305

151310

38 29

Servers needed

Servers needed

Page 6: Master Card Case Solution

No. of empStart Exit12 1221 921

2121212121212121212121212112 3 12

8 5 98 08 0

29