A rule for slack allocation proportional to the duration in a PERT network

Project Duration Evaluated Using Affine Arithmetic

“…Only the durations D 2 , D 3 , D 4 and D 8 present uncertain variables. Since they can be calculated as the ratio between the quantity of the work and the production, it is possible to express the total time D TOT using Eq.…”

The constrained equal loss rule in problems with constraints and claims

“…We can adapt this property to this new framework in the following way: we say that a rule R satisfies EXC if given an agent whose claim verifies that c i ðL =jjÞ for all 2 P with i 2 , where L ¼ maxf0, P j2 c j À E g, it is verified that R i (c, E) ¼ 0. But ECEL does not satisfy EXC: consider the problem (c, E) 2 G(N ) where N ¼ {1, 2, 3, 4, 5}, P ¼ {{1, 2, 5}, {1, 3, 5}, {4, 5}}, c ¼ (1,5,5,4,9) and E ¼ (11,11,5). The vector of losses is L ¼ (4, 4, 8) and for every 2 P with 1 2 it is verified that c 1 ¼ 1 5 ðL =jjÞ ¼ ð4=3Þ.…”

“…At this point, the PERT problem focuses on how to allocate the extra time among these activities, without delaying the project, in a 'well-behaved' manner. This problem has been also studied in [5].…”

Time Reduction for Completion of a Civil Engineering Construction Using Fuzzy Clustering Techniques

“…However, this choice can produce consequently critical complications, such as growth of construction costs or congestion of the working area generating unexpected diseconomies and potential hazards for workers' safety (Chretienne and Sourd, 2003;Castro et al, 2008aCastro et al, , 2008b.…”