sscm assignment

7/29/2019 Sscm Assignment

1/24

CASE :Staffing and Scheduling Bank Branch tellers

Table 14.9: Lobby, Monday-Thursday

Average Average

Time of day Arrivals Service Time

9 6.0 3.0 2.0 12.0

10 15.0 6.5

11 24.0 Service Rate (per hour)

12 36.0 20.00

1 38.0

2 31.0 Cells outlined in

3 20.0 red are INPUTS

4 13.0

Service goal: 2 minute average wait.

Time in line minutes

Number of TellersTime of day 1 2 3 4 5 6 7

9 1.29 0.26 0.11 0.06 0.04 0.03 0.02

10 9.00 0.90 0.33 0.17 0.11 0.07 0.05

11 2.25 0.67 0.32 0.19 0.13 0.09

12 13.50 1.50 0.61 0.34 0.21 0.15

1 28.50 1.73 0.68 0.37 0.23 0.16

2 5.17 1.07 0.47 0.27 0.17 0.12

3 1.50 0.50 0.25 0.15 0.10 0.07

4 5.57 0.72 0.28 0.15 0.09 0.06 0.04vg t me spent

by customers in

the line in a day 5.29 6.60 0.77 0.34 0.19 0.13 0.09

Amount of work required in a week

3666 minutes

61.1 hours

Table 14.9: Drive through, Monday-Thursday

Average Average


9 5.0 3.0

10 7.0


12 19.0 20.00

1 19.0


2/24



4 9.0




9 1.00 0.21 0.09 0.05 0.03 0.02 0.02

10 1.62 0.32 0.13 0.07 0.05 0.03 0.02

11 9.00 0.90 0.33 0.17 0.11 0.07 0.05

12 57.00 1.36 0.46 0.23 0.14 0.09 0.07

1 57.00 1.36 0.46 0.23 0.14 0.09 0.07

2 2.00 0.38 0.15 0.08 0.05 0.04 0.03

3 1.29 0.26 0.11 0.06 0.04 0.03 0.02

4 2.45 0.44 0.18 0.10 0.06 0.04 0.03

Avg time spent

by customers in

the line in a day 16.42 0.65 0.24 0.13 0.08 0.05 0.04

Amount of work required in a week

1659 minutes

27.65 hours

Q1) Total amount of work required in a week Q2)

5325 minutes

88.75 Hours

Lobby Drive-through

Amount of work required in a week Amount of work required in a week

3666 minutes 1659 minutes

61.1 hours 27.65 hours

If inventory could be used, (employee works for 40 hours/hr)

Tellers needed for lobby Tellers needed at drive through

1.5275 0.691

2 tellers at lobby 1 teller at drive through

Totally 3 tellers


3/24


4/24

Submitted by:

Name: Usha Radhakrishnan

Table 14.9: Lobby, Friday Roll No: PGDMB-12/56

Average Average


9 15.0 3.0

10 21.0


12 63.0 20.00

1 70.0



4 36.0

5 69.0

6 75.0




9 9.00 0.90 0.33 0.17 0.11 0.07 0.05

10 1.66 0.54 0.27 0.16 0.11 0.08

11 3.00 0.96 0.49 0.30 0.20

12 2.78 1.02 0.55 0.35

1 5.25 1.40 0.70 0.43

2 6.50 1.39 0.65 0.38 0.25

3 2.75 0.92 0.47 0.29 0.20

4 13.50 1.50 0.61 0.34 0.21 0.15

5 4.70 1.34 0.68 0.42

6 11.25 1.80 0.83 0.49

by customers

in the line in a

day 9.00 5.35 2.44 1.54 0.58 0.33 0.21

Table 14.9: Drive through, Friday

Average Average


9 10.0 3.0

10 15.0


12 30.0 20.00

1 32.0


5/24



4 10.0

5 28.0

6 25.0




9 3.00 0.50 0.20 0.11 0.07 0.05 0.03

10 9.00 0.90 0.33 0.17 0.11 0.07 0.05

11 2.25 0.67 0.32 0.19 0.13 0.09

12 4.50 1.00 0.45 0.26 0.17 0.12

1 6.00 1.14 0.50 0.28 0.18 0.13

2 27.00 1.23 0.43 0.22 0.13 0.09 0.06

3 2.45 0.44 0.18 0.10 0.06 0.04 0.03

4 3.00 0.50 0.20 0.11 0.07 0.05 0.03

5 3.50 0.88 0.40 0.23 0.15 0.11

6 2.50 0.71 0.34 0.20 0.13 0.09Avg time spent

by customers

in the line in a

day 8.89 2.04 0.52 0.25 0.14 0.10 0.07

Lobby Drive through

Mon thurs Fri Mon thurs Fri

Time of day TellerWaiting

TellersWaiting

TellersWaiting

TellersWaiting

9 - 10 am 1 1.29 2 0.90 1 1.00 2 0.5

10 - 11 am 2 0.90 2 1.66 1 1.62 2 0.9

11 - 12 noon 3 0.67 4 0.96 2 0.90 3 0.7

12 noon - 1 p 3 1.50 4 2.78 2 1.36 3 1.01 - 2 pm 3 1.73 4 5.25 2 1.36 3 1.1

2 - 3 pm 3 1.07 4 1.39 1 2.00 2 1.2

3 - 4 pm 2 1.50 4 0.92 1 1.29 2 0.4

4 - 5 pm 2 0.72 3 1.50 2 0.44 2 0.5

5 - 6 pm 5 1.34 3 0.9

6 - 7 pm 5 1.80 3 0.7


6/24


7/24


8/24

TOTAL

Mon-thurs Fri

Total teller Total tellers

2.0 4.0

3.0 4.0

5.0 7.0

5.0 7.05.0 7.0

4.0 6.0

3.0 6.0

4.0 5.0

8.0

8.0


9/24

Q3) Requirement

TOTAL

Mon-thurs Fri

Time of day Total tellers Total tellers

9 - 10 am 2.0 4.0

10 - 11 am 3.0 4.0

11 - 12 noo 5.0 7.012 noon - 1 5.0 7.0

1 - 2 pm 5.0 7.0

2 - 3 pm 4.0 6.0

3 - 4 pm 3.0 6.0

4 - 5 pm 4.0 5.0

5 - 6 pm 8.0

6 - 7 pm 8.0

To minimize both idle time and number of employees

LP Problem Mon - thurs Fri Lunch at 1 lunch at 12

u t me te ers . 6.00 2.00 2.00

Part time starting at 9 am to1 pm 0.00 0.00

Part time starting at 10 am to 2 pm 0.00 3.00

Part time starting at 11 am to 3 pm 1.00 0.00

Part time starting at 12 pm to4 pm 0.00 0.00

Part time starting at 1 pm to 5 pm 0.00 0.00

Part time starting at 2 pm to 6 pm 0.00


Objective : Minimize total daily manpower cost 12.00

Constraints: For thurs For fri

9 - 10 am 6.00 6.00 >= 2.0 4.0

10 - 11 am 6.00 9.00 >= 3.0 4.0

11 - 12 noo 5.00 7.00 >= 5.0 7.0

12 noon - 1 5.00 7.00 >= 5.0 7.0

1 - 2 pm 5.00 7.00 >= 5.0 7.0

2 - 3 pm 7.00 6.00 >= 4.0 6.0

3 - 4 pm 6.00 8.00 >= 3.0 6.0

4 - 5 pm 6.00 8.00 >= 4.0 5.05 - 6 pm 8.00 >= 8.0

6 - 7 pm 8.00 >= 8.0

Idle time

Total employee hours 120.00 >= 93.0 27.00

Q3) Employee Schedule - Mon to thurs

Time Head Teller Teller 2 Teller 3 Teller 4 Teller 5 Teller 6

8:30 AM Administrative


10/24


9:00 AM Administrati Lobby Lobby Drive thru Lobby Drive thru



9:45 AM Break Lobby Lobby Drive thru Lobby Drive thru

10:00 AM Lobby Break Lobby Lobby Drive thru Drive thru

10:15 AM Lobby Lobby Break Lobby Drive thru Drive thru10:30 AM Lobby Lobby Lobby Break Drive thru Drive thru

10:45 AM Lobby Lobby Lobby Lobby Drive thru Drive thru

11:00 AM Lobby Lobby Lobby Drive thru Lunch Lunch




12:00 PM Lobby Lobby Lunch Lunch Lobby Drive thru




1:00 PM Lunch Lunch Lobby Lobby Lobby Drive thru




2:00 PM Lobby Lobby Lobby Lobby Break Lobby

2:15 PM Lobby Lobby Lobby Lobby Lobby Break

2:30 PM Lobby Lobby Lobby Lobby Lobby Lobby

2:45 PM Lobby Lobby Lobby Lobby Lobby Lobby

3:00 PM Lobby Lobby Lobby Lobby Drive thru Drive thru





4:15 PM Administrati Lobby Lobby Lobby Drive thru Drive thru





Q3) Employee Schedule - Friday

Time Head Teller Teller 2 Teller 3 Teller 4 Teller 5 Teller 68:30 AM Administrative





9:45 AM Break Lobby Lobby Drive thru Drive thru Break

10:00 AM Lobby Break Lobby Lobby Drive thru Drive thru

10:15 AM Lobby Lobby Break Drive thru Break Drive thru


11/24

10:30 AM Lobby Lobby Lobby Break Drive thru Drive thru

10:45 AM Lobby Lobby Lobby Lobby Drive thru Drive thru

11:00 AM Lobby Lobby Lobby Lobby Lunch Lunch




12:00 PM Lobby Lobby Lunch Lunch Lobby Lobby12:15 PM Lobby Lobby Lunch Lunch Lobby Lobby

12:30 PM Lobby Lobby Lunch Lunch Lobby Lobby

12:45 PM Lobby Lobby Lunch Lunch Lobby Lobby

1:00 PM Lunch Lunch Lobby Lobby Lobby Lobby








3:00 PM Lobby Lobby Lobby Lobby Supper Supper

3:15 PM Lobby Lobby Lobby Lobby Supper Supper

3:30 PM Lobby Lobby Supper Supper Lobby Lobby

3:45 PM Lobby Lobby Supper Supper Lobby Lobby

4:00 PM Supper Supper Lobby Lobby Lobby Lobby

4:15 PM Supper Supper Lobby Lobby Lobby Lobby

4:30 PM Administrati Lobby Lobby Lobby Lobby Lobby

4:45 PM Administrati Lobby Lobby Lobby Lobby Lobby

5:00 PM Lobby Lobby Lobby Lobby Lobby Drive thru











12/24

Requirement

Lobby Drive through

Mon thurs Fri Mon thurs Fri

Time of da Tellers Tellers Tellers Tellers

9 - 10 am 1 2 1 2

10 - 11 am 2 2 1 2

11 - 12 no 3 4 2 312 noon - 3 4 2 3

1 - 2 pm 3 4 2 3

2 - 3 pm 3 4 1 2

3 - 4 pm 2 4 1 2

4 - 5 pm 2 3 2 2

5 - 6 pm 5 3

6 - 7 pm 5 3

Lunch at 12.00

6.00

To minimize both idle time andno of employees

1135.999997

Requirement

Lobby Drive through

Part time (1 people) Mon thurs Mon thurs

Time of da Tellers Tellers

Full time employees = 6

Part time employees = 6 per week


13/24

9 - 10 am 1 1

10 - 11 am 2 1

11 - 12 no 3 2

12 noon - 3 2

1 - 2 pm 3 2

2 - 3 pm 3 1

3 - 4 pm 2 14 - 5 pm 2 2

5 - 6 pm

Drive thru 6 - 7 pm

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Drive thru

Requirement

Part time (5 people) Lobby Drive throughFri Fri

Time of da Tellers Tellers

9 - 10 am 2 2

10 - 11 am 2 2

11 - 12 no 4 3

12 noon - 4 3

Drive thru - 2 , Lobby -1 1 - 2 pm 4 3



14/24



Drive thru - 3, Lobby -0 5 - 6 pm 5 3

Drive thru - 3, Lobby -0 6 - 7 pm 5 3

Drive thru - 3, Lobby -0


Drive thru - 3, Lobby -0Drive thru - 3, Lobby -0







Drive thru - 2 , Lobby -0


















15/24


16/24

CASE :Staffing and Scheduling Bank Branch tellers

Table 14.9: Lobby and drive through, Monday-Thursday

Average Average


9 11.0 3.0 2.0 22.0

10 22.0 11.5


12 55.0 20.00

1 57.0



4 22.0



Number of Tellers

Time of day 1 2 3 4 5 6 7

9 3.67 0.57 0.22 0.12 0.07 0.05 0.04

10 1.83 0.58 0.28 0.17 0.11 0.08

11 58.50 1.86 0.71 0.38 0.24 0.17

12 11.00 1.65 0.73 0.42 0.28

1 19.00 1.86 0.80 0.45 0.29

2 58.50 1.86 0.71 0.38 0.24 0.17

3 2.79 0.76 0.36 0.21 0.14 0.10

4 1.83 0.58 0.28 0.17 0.11 0.08Avg time spent

by customers in

the line in a day 3.67 20.67 4.48 0.75 0.36 0.22 0.15

Amount of work required in a week5325 minutes

88.75 hours

Q4) Savings in Personnel

Lobby and Drive through Mon thurs

Mon thurs Fri Time of day Tellers

Time of day Tellers

Waiting

time in line Tellers

Waiting

time in line 9 - 10 am 0


17/24

9 - 10 am 2 0.57 3 0.71 10 - 11 am 1

10 - 11 am 2 1.83 3 1.50 11 - 12 noo 2

11 - 12 noon 3 1.86 5 1.34 12 noon - 1 1

12 noon - 1 pm 4 1.65 6 1.72 1 - 2 pm 1

1 - 2 pm 4 1.86 7 1.15 2 - 3 pm 1

2 - 3 pm 3 1.86 5 1.40 3 - 4 pm 0

3 - 4 pm 3 0.76 4 1.47 4 - 5 pm 24 - 5 pm 2 1.83 4 1.01 5 - 6 pm

5 - 6 pm 7 0.97 6 - 7 pm

6 - 7 pm 7 1.07


18/24

Table 14.9: Lobby and drive through, Friday

Average Average


9 25.0 3.0

10 36.0


12 93.0 20.00

1 102.0



4 46.0

5 97.0

6 100.0



Number of Tellers

Time of day 1 2 3 4

9 2.50 0.71 0.34

10 13.50 1.50 0.61

11 4.70

12

1

2 5.25

3 7.57 1.47

4 3.29 1.01

5

6Avg t me

spent by

customers

in the line

in a day 8.00 3.27 2.23

19

Fri

Tellers Total Personnel saved 19

1 1


19/24

1 2

2 4

1 2

0 1

1 2

2 2

1 31 1

1 1


20/24

5 6 7

0.20 0.13 0.09

0.34 0.21 0.15

1.34 0.68 0.42

7.97 1.72 0.85

2.83 1.15

1.40 0.70 0.43

0.68 0.40 0.26

0.51 0.31 0.21

19.40 2.11 0.97

2.50 1.07

1.78 0.87 0.44


21/24


22/24

Q5) Vacation by tellers

Assuming at a time only 2 tellers would take leave

LP Problem Mon - thurs Fri Lunch at 1 lunch at 12

Full time tellers 4.00 4.00 2.00 1.00Part time starting at 9 am to1 pm 1.00 1.00

Part time starting at 10 am to 2 pm 1.00 2.00Part time starting at 11 am to 3 pm 1.00 2.00

Part time starting at 12 pm to4 pm 0.00 0.00

Part time starting at 1 pm to 5 pm 0.00 0.00



Objective : Minimize total daily manpower cost 16.00

Constraints: For thurs For fri

9 - 10 am 5.00 5.00 >= 2.0 4.0

10 - 11 am 6.00 7.00 >= 3.0 4.011 - 12 noo 5.00 7.00 >= 5.0 7.0

12 noon - 1 6.00 8.00 >= 5.0 7.0

1 - 2 pm 5.00 7.00 >= 5.0 7.0

2 - 3 pm 5.00 6.00 >= 4.0 6.0

3 - 4 pm 4.00 8.00 >= 3.0 6.0

4 - 5 pm 4.00 8.00 >= 4.0 5.0

5 - 6 pm 8.00 >= 8.0

6 - 7 pm 8.00 >= 8.0

Idle time

Total employee hours 112.00 >= 93.0 19.00


23/24

Lunch at 1

1.00

4.00

To minimize both idle time andno of employees

1216

If two of the tellers are on leave, the number of part time

employees increases. Assuming two employees are abs

are required to employee additional 4 part time employe

the requirements. But we can also notice that the idle ti

reduced. This shows that employing more part time emwould increase the utilisation of the system.


24/24

ent, we

es to meet

e as

loyees

sscm assignment

Documents