# Question 2: Workcell Grouping and Process Matrix Given the table: | Component Part | Volume | Machine Sequence | |----------------|--------|------------------| | L7 | 50,000 | A, B, C, D | | R6 | 30,000 | S, M | | P1 | 9,000 | C, D | | O3 | 10,000 | S, M, R | | F7 | 1,000 | S, R, A | | J4 | 15,000 | B, A, D | | H5 | 1,000 | B, D, M | Assume the plant has one of each kind of machine. --- ## a. **Forming Workcell Groupings (Visual Method)** ### Step 1: List All Machines - **Machines:** A, B, C, D, S, M, R ### Step 2: Create a Machine-Part Matrix | | A | B | C | D | S | M | R | |-------|---|---|---|---|---|---|---| | L7 | X | X | X | X | | | | | R6 | | | | | X | X | | | P1 | | | X | X | | | | | O3 | | | | | X | X | X | | F7 | X | | | | X | | X | | J4 | X | X | | X | | | | | H5 | | X | | X | | X | | ### Step 3: Visual Grouping - **Cell 1 (A, B, C, D):** - L7 (A, B, C, D) - J4 (A, B, D) - P1 (C, D) - H5 (B, D) - **Cell 2 (S, M, R):** - R6 (S, M) - O3 (S, M, R) - F7 (S, R, A) (*exception: needs A from cell 1*) ### Discussion: - Groupings minimize part travel between cells. - **Exceptional parts/machines:** - **F7** uses A (from cell 1) and S, R (from cell 2): It's a "cross-cell" part. These could be produced in one cell and moved, or scheduled for shared machine access. - **H5** uses B, D (cell 1) and M (cell 2): Another cross-cell part. - Such exceptions can be handled by: - Duplicating machines if volume is justified (not likely here, due to low volumes). - Scheduling their production during downtime of key machines. - Accepting limited inter-cell transport for low-volume, exceptional parts. --- ## b. **Process Matrix and BOA (Bond Energy Algorithm/Block Diagonal Form)** ### Step 1: Rearranged Machine-Part Matrix Let’s try to rearrange to form block-diagonal cells: | | A | B | C | D | S | M | R | |-------|---|---|---|---|---|---|---| | L7 | X | X | X | X | | | | | J4 | X | X | | X | | | | | P1 | | | X | X | | | | | H5 | | X | | X | | X | | | R6 | | | | | X | X | | | O3 | | | | | X | X | X | | F7 | X | | | | X | | X | - **Block 1 (A, B, C, D):** L7, J4, P1, H5 - **Block 2 (S, M, R):** R6, O3, F7 ### Discussion: - Two main clusters (cells) are apparent. - **Cross-cell parts:** F7 and H5. These have processing steps in both cells. - **Handling exceptions:** Same as above—schedule carefully, or accept minimal inter-cell movement. --- ## **Final Summary** - **Workcell Groupings:** Two clear groups—one for A, B, C, D (L7, J4, P1, H5), and one for S, M, R (R6, O3, F7). - **Exceptional Parts:** F7 and H5 require machines in both cells. Given their low volume, handle them by scheduling or limited inter-cell transfer. - **Process Matrix & BOA:** Confirms two main cells, with a small number of exceptional, low-volume parts that cross cells. - **Recommendation:** Form two cells, accept minor inefficiency for rare exceptions, and optimize scheduling for these cases. This approach balances efficiency and practicality.

# Question 3: Workcell Grouping and Process Matrix ## Overview This section analyzes six manufactured component parts and their production volumes and machine sequences, similar to the previous question. ### Provided Data Table | Component Part | Volume | Machine Sequence | |----------------|--------|------------------| | A1 | 20,000 | X, Y, Z | | B2 | 15,000 | X, Y | | C3 | 5,000 | Y, Z | | D4 | 10,000 | Z, X | | E5 | 8,000 | Y | | F6 | 2,000 | Z, X, Y | --- ## a. **Forming Workcell Groupings (Visual Method)** ### Step 1: List All Machines - **Machines:** X, Y, Z ### Step 2: Create a Machine-Part Matrix | | X | Y | Z | |-------|---|---|---| | A1 | X | X | X | | B2 | X | X | | | C3 | | X | X | | D4 | X | | X | | E5 | | X | | | F6 | X | X | X | ### Step 3: Visual Grouping - **Cell 1 (X, Y):** - A1 (X, Y) - B2 (X, Y) - F6 (X, Y) - **Cell 2 (Z):** - C3 (Y, Z) - D4 (Z, X) - E5 (Y) ### Discussion: - Groupings minimize part travel between cells. - **Exceptional parts/machines:** - **C3** requires machine Z but does not fit into cell 1. It can be handled via scheduling or dedicated machine access. --- ## b. **Process Matrix and BOA (Bond Energy Algorithm/Block Diagonal Form)** ### Step 1: Rearranged Machine-Part Matrix | | X | Y | Z | |-------|---|---|---| | A1 | X | X | X | | B2 | X | X | | | D4 | X | | X | | F6 | X | X | X | | C3 | | X | X | | E5 | | X | | ### Block Groupings - **Block 1 (X, Y):** A1, B2, F6, D4 - **Block 2 (Z):** C3, E5 ### Discussion: - Two main clusters are evident. - **Handling exceptions:** Same as above—schedule carefully or accept minimal inter-cell movement. --- ## **Final Summary** - **Workcell Groupings:** Two primary groups identified—one using machines X and Y (A1, B2, F6, D4) and another using machine Z (C3, E5). - **Exceptional Parts:** C3 requires Z and can be managed through scheduling or dedicated access. - **Process Matrix & BOA:** Confirms the two main cells, with some low-volume exceptions. - **Recommendation:** Establish two cells and ensure efficient scheduling for exceptional cases to maintain workflow effectiveness.

# Summary of Questions ## Question 2 Summary Workcell groupings were established using visual methods, identifying two cells: one for machines A, B, C, D containing components L7, J4, P1, and H5, and another for S, M, R containing R6, O3, and F7. Exceptional parts like F7 and H5 require machines from both cells and can be managed through careful scheduling or limited inter-cell transport. ## Question 3 Summary The workcell groupings for the six manufactured components revealed two main clusters: one utilizing machines X and Y (A1, B2, F6, D4) and another using machine Z (C3, E5). Exceptional part C3, which requires machine Z, can be addressed by scheduling or dedicated machine access to maintain production efficiency.