Question: Problem 1: This is a Line Balancing exercise. The hospital is repurposing one unit that previously housed orthopedic adult patients for the new childrens oncology

Problem 1:

This is a Line Balancing exercise. The hospital is repurposing one unit that previously housed orthopedic adult patients for the new childrens oncology program. The tasks to convert each room, the length of time needed to perform each task, and the tasks that must be completed prior to subsequent tasks are listed in the table below. The time available is 420 minutes per day, and the required output rate is 28 rooms per day.

Task

Time (min)

Immediate Predecessors

A

4

None

B

6

A

C

6

None

D

3

None

E

2

B

F

4

B, C

G

6

E, F

H

8

F

I

2

G, H

J

4

I

K

1

D, J

  1. Construct a precedence diagram (cf. Figure 7.13).
  2. Compute the desired cycle time.
  3. Compute the theoretical number of process steps.
  4. Balance the process using the longest activity time as a heuristic (always seek to add the next task to a group based on the longest time among candidate tasks)
  5. Depict the balanced process (simple process diagram with the groups of tasks and total time for each group; (cf. Figure 7.14).
  6. Compute the efficiency of the process.

Problem 2:

This is a Block Diagramming exercise. Below is the layout of three work stations (rooms 1,2,3) in the laboratory along with data regarding traffic between the work stations and distance between the zones (A,B,C) below:

  1. Find the loaddistance for the current layout.
  2. Redesign the layout to minimize loaddistance (i.e. the Zones are fixed in place, but the work stations would be moved around, so that Room 1 could be in Zone B or C instead of Zone A for example). What is the total loaddistance for your recommended layout?

Zone A

Room 1

Zone B

Room 2

Zone C

Room 3

Distances Between Locations (in Feet)

To

Zone

From

A

B

C

A

-

40

20

B

_-

60

Daily Traffic (Number of Trips) Between Rooms

To

Room

From

1

2

3

Room 1

-

26

4

Room 2

2

-

68

Room 3

-

28

-

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