Research Article

Theoretical Expectation versus Practical Performance of Jackson’s Heuristic

Table 8

20 instances of 500 jobs. The processing time drawn from the interval . The instances that are not shown in the table were solved optimally.

Emerging job Overflow job Aprox. ratio

1 2737 30 24074 21250 74 21266 5 2065 21271 −16 21 23336 23315 1110.2 1.0009
2 10786 95 18198 11566 87 11656 −4 11675 11652 −90 86 23327 23241 270.2 1.0037
3 2469 100 6761 2531 22 2553 74 20778 2627 −22 96 23405 23309 242.8 1.0041
5 28 11 16601 31 35 32 7 23299 39 −1 8 23338 23330 2916.2 1.0003
6 187 77 9189 413 39 417 35 22914 452 −4 39 23336 23297 597.3 1.0016
8 6251 94 23315 21904 26 21934 62 1397 21996 −30 92 23393 23301 253.2 1.0039
9 6313 72 21427 18378 54 18427 12 4904 18439 −49 61 23343 23282 381.6 1.0026
11 12208 70 23060 19855 67 19866 36 3465 19902 −11 47 23367 23320 496.1 1.0020
16 11401 55 24586 23297 48 23331 9 0 23340 −34 43 23340 23297 541.7 1.0018
20 3181 88 17110 8493 39 8541 −1 14790 8540 −48 47 23330 23283 497.5 1.0020