The adjusted flow matrix is obtained as:
F = [[0, 40, 490, 250, 180],
[40, 0, 70, 200, 120],
[490, 70, 0, 280, 210],
[250, 200, 280, 0, 150],
[180, 120, 210, 150, 0]]
The heuristic algorithm provides the following sequence:
3 - 1 - 4 - 2 - 5
Hence, the recommended linear single row layout is:
3 1 4 2 5
This minimizes the total material handling cost by placing machines with highest flow between them closest. The clearance between machines must also be ensured as per the data provided.