Assembly line balancing using Rank positional weight (RPW)
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This document describes the Rank Positional Weight (RPW) heuristic method for solving assembly line balancing problems. It provides an example of applying RPW to tasks for assembling a cashew machine. The key steps of the RPW method are: 1) drawing a precedence diagram of tasks and their time requirements, 2) calculating the RPW for each task based on its time plus the times of following tasks, 3) sorting tasks by descending RPW, and 4) assigning tasks to work stations while balancing cycle time until all tasks are assigned. The example shows the RPW calculations and demonstrates assigning the sorted tasks to four balanced work stations. Contact information is provided to purchase RPW software.
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Assembly line balancing using Rank positional weight (RPW)
- 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
- 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