Table 1 Cost-time-quality matrix
Worker (i) | Job (j) | |||||
|---|---|---|---|---|---|---|
Job-1 | Job-2 | Job-3 | Job-4 | Job-5 | Job-6 | |
Worker-1 | ||||||
\(c_{ij}\) | (4, 6, 8) | (3, 4, 6) | (4, 5, 8) | (6, 8, 11) | (7, 10, 14) | (4, 6, 7) |
\(t_{ij}\) | (2, 4, 5) | (16, 20, 24) | (7, 9, 12) | (2, 3, 5) | (5, 8, 10) | (7, 9, 12) |
\(q_{ij}\) | (0, 1, 3) | (1, 3, 5) | (0, 1, 3) | (0, 1, 3) | (0, 1, 3) | (3, 5, 7) |
Worker-2 | ||||||
\(c_{ij}\) | (4, 6, 7) | (4, 5, 7) | (5, 6, 9) | (3, 5, 7) | (6, 9, 11) | (6, 8, 11) |
\(t_{ij}\) | (4, 6, 9) | (15, 18, 22) | (6, 8, 12) | (5, 7, 10) | (14, 17, 20) | (6, 8, 10) |
\(q_{ij}\) | (1, 3, 5) | (3, 5, 7) | (1, 3, 5) | (3, 5, 7) | (5, 7, 9) | (3, 5, 7) |
Worker-3 | ||||||
\(c_{ij}\) | (8, 11, 14) | (5, 7, 9) | (2, 4, 6) | (5, 8, 12) | (2, 3, 4) | (3, 4, 6) |
\(t_{ij}\) | (2, 3, 4) | (6, 8, 10) | (17, 20, 24) | (5, 7, 10) | (12, 15, 18) | (5, 7, 10) |
\(q_{ij}\) | (0, 1, 3) | (5, 7, 9) | (3, 5, 7) | (1, 3, 5) | (3, 5, 7) | (5, 7, 9) |
Worker-4 | ||||||
\(c_{ij}\) | (7, 9, 12) | (7, 10, 12) | (6, 8, 11) | (4, 6, 8) | (8, 10, 12) | (3, 4, 6) |
\(t_{ij}\) | (10, 12, 16) | (10, 13, 16) | (12, 14, 18) | (4, 6, 9) | (7, 9, 12) | (8, 10, 14) |
\(q_{ij}\) | (3, 5, 7) | (7, 9, 10) | (1, 3, 5) | (3, 5, 7) | (1, 3, 5) | (1, 3, 5) |
Worker-5 | ||||||
\(c_{ij}\) | (3, 4, 6) | (4, 6, 8) | (5, 7, 10) | (7, 9, 12) | (6, 8, 12) | (5, 7, 10) |
\(t_{ij}\) | (7, 9, 12) | (5, 8, 11) | (5, 7, 10) | (11, 14, 18) | (3, 5, 8) | (7, 9, 12) |
\(q_{ij}\) | (1, 3, 5) | (7, 9, 10) | (5, 7, 9) | (3, 5, 7) | (1, 3, 5) | (1, 3, 5) |
Worker-6 | ||||||
\(c_{ij}\) | (2, 3, 4) | (4, 5, 7) | (8, 11, 15) | (8, 10, 13) | (9, 12, 15) | (6, 8, 12) |
\(t_{ij}\) | (14, 17, 21) | (10, 13, 16) | (2, 3, 5) | (3, 5, 8) | (10, 13, 17) | (5, 7, 10) |
\(q_{ij}\) | (1, 3, 5) | (1, 3, 5) | (3, 5, 7) | (5, 7, 9) | (3, 5, 7) | (5, 7, 9) |