Q1 Process Analysis with Multiple Flow Units Consider a proc

Q1.        (Process Analysis with Multiple Flow Units) Consider a process consisting of four resources that are operated ten hours a day. The process works on three different products A, B, C. Number of workers and processing times (in minutes) are given on the following table:

Number of Workers

Product

Resource

A

B

C

1

1

5

9

13

2

2

6

10

14

3

3

7

11

15

4

4

8

12

16

Demand for the three products is as follows: product A, 50 units per day; product B, 40 units per day; and product C, 30 units per day.

a. Which resource is the bottleneck?

b. How much is the implied utilization of each resource? Is this a feasible operation?

c. Management has decided to reassign one worker from Resource 4 to Resource 1.Which resource is the new bottleneck?Is this operation feasible now?

this is my answer pleaae check it and do a,b and c.

          Product

Resource

# of worker

Mins / day

Capacity

  A           B               C

50          40               30

Load

Implied utilization

1 bottleneck!

1

600

5*50       9*40        13*30

1000

1000/600 = 167%

2

2

1200

6*50     10*40        14*30

1120

1120/1200 = 93%

3

3

1800

7*50     11*40        15*30

1240

1240/1800 = 69%

4

4

2400

8*50     12*40        16*30

1360

1360/2400 = 57%

	Number of Workers	Product
Resource	A	B	C
1	1	5	9	13
2	2	6	10	14
3	3	7	11	15
4	4	8	12	16

Solution

Total workload = (Processing time of A* No of unit of A) +(Processing time of B* No of unit of B) + (Processing time of C* No.of Unit of C)

For Example , Resource 1, Total Workload = 5*50 + 9*40 +13*30 = 1000

(a) Resource 1 is the bottleneck because the resource with the highest implied utilization is the bottleneck.

(b) The Implied Utilization of each resources is shown in the above table. This is not the feasible operation because the implied utilization of resource 1 is more than 100% .

(c) Management has decided to reassign one worker from Resource 4 to Resource 1

Now in this case the resource 2 is the Bottleneck because it has highest implied utilization. Yes the operation is feasible because the implied utilization of each resource is less than 100%.

Available Time(min) {10*60}	600
Resource	Number of worker	Capacity (min)	Total Workload (min)	Implied Utilization ( Total Workload(min) / Capacity (min)
1	1	600	1000	166.67%
2	2	1200	1120	93.33%
3	3	1800	1240	68.89%
4	4	2400	1360	56.67%