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In an activity list (lambda), all jobs (including the dummy activities) are included once.
We extended all 480 PSPLIB instances from the set j30 with 30 real activities and two dummy activities as described.
We use the so-called dummy activities 0 and (J+1) with a duration of 0 periods and no resource consumption to represent the distinct start and end of the project.
It is the revenue related to the finishing period of the dummy-activity (J+1) minus the total amount of overtime cost resulting from the schedule.
Figure 2 displays network of this project with eight non-dummy activities and the total of ten activities.
Table 4 Numerical results over time for small projects with 30 non-dummy activities Open image in new window.
Table 6 Numerical results over time for largeprojects with 120 non-dummy activities Open image in new window.
For the 270 comparatively small projects with 30 non-dummy activities in conjunction with a time limit of 30 s, we generated the results, as shown in Table 4.
The results for the 585 large projects with 120 non-dummy activities with a time limit of 120 s and up to 50,000 schedules are shown in Tables 6 and 7, respectively.
In a similar way, a tight and efficient upper bound for the latest finishing time (LFT_{J+1}) for the dummy ending activity (J+1) can be determined by constructing a feasible schedule with regular capacity using any heuristic procedure for the RCPSP.
(Occup_s) and (Sec_m ) are the eighteen occupation group dummies and twelve sector (economic activity) dummies based on the International Standard Classification of Occupations (ISCO-88) and the Statistical Classification of Economic Activities (NACE).
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