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1. Rank Positional weight
(RPW) for assembly line
balancing
HEURISTIC METHOD

2. Rank positional weight
 It is a heuristic algorithm used to solve the assembly line balancing
problem. This methods depends on the processing times for all tasks and
their followers.

3. RPW Example
 The below figure shows the tasks, times and precedence relation for each
element used in cashew machine assembly.
Tas Time
(min)
Description Predecessor
1 20 Frame assembly -
2 20 Cutter assembly 1
3 45 Motor assembly 2
4 10 Crank assembly 3
5 7 Pickup assembly 2
6 5 Belt cover assembly 5
7 8 Cup assembly 5
8 20 Bucket and disk assembly with
shaft
5
9 15 Feed motor and belt assembly 5
10 5 Circuit assembly 5
11 4 Hopper assembly 6,7,8,9,10
12 45 Connect wires 11,4
13 6 Outer cover assembly 12

4. Precedence diagram

5. RPW solution method
 1-draw precedence diagram.
 2- for each task find the transitive followers (followers of followers till you
reach the end of the graph).
 3- calculate the RPW for each task (i). (RPW(i)= time of the task (i)+
summation of times of tasks in the transitive followers (i)
 4-re-arrange tasks according to their RPW in descending order
 5-open a work station and assign the feasible tasks till the cycle time is
reached or no more assignable tasks in the station.
 6- Repeat step 5 till all tasksare added to work stations.

6. RPW
Task RPW
1 210
2 190
3 106
4 61
5 115
6 60
7 63
8 75
9 70
10 60
11 55
12 51
13 6

7. RPW in descending order
Task RPW
1 210
2 190
5 106
3 61
8 115
9 60
7 63
4 75
6 70
10 60
11 55
12 51
13 6

8. Assign to work stations
Station task time Sum of station time
1
1 20 20
2 20 40
5 7 47
7 8 55
2
3 45 45
4 10 55
3
8 20 20
9 15 35
6 5 40
10 5 45
11 4 49
4
12 45 45
13 6 51

9. RPW software
 The RPW software available can be purchased by 10$ only
 Contact me for more information
 Shadymagdy@windowslive.com

10. Thank You!
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