The classical sorting algorithms can't be used for such ordering because the
precedence relation is not a total order relation.
If some
precedence relation already exists between a pair of activities, the test brings no new information to the solution method.
It is a permutation vector of activities conforming to
precedence relation, which represents a feasible solution for schedule [22].
If a
precedence relation between two activities resulted from availability of resources, the planner might wish to consider procuring more resources (e.g.
After that, we must decide whether
precedence relation we put in is correct.
Proposition 1 The
precedence relation is irreflexive, antisymmetric, and transitive.
A
precedence relation (shortly, a precedence) can be considered as a couple ([f.sub.1], [f.sub.2]) where [f.sub.1] = rnd(nrphases) [f.sub.2] = rnd (nrphases) and [f.sub.1] [not equal to] [f.sub.2] .
[PI] is satisfying disassembly
precedence relations between n components of all the feasible set of permutations, and n = {[[pi].sub.1], [[pi].sub.2], ..., [[pi].sub.[absolute value of [PI]]}
The Simple Assembly Line Balancing (SALB) Problem aims to assign a set of tasks to a set of workstations such that: A) Each task is assigned to only one workstation B)
Precedence relations among the tasks are not violated and C) One or more objectives are optimized.
His skillful braiding of these two lines of inquiry yields a nuanced description of how political processes flowing from the center have refashioned authority schemata that developed on the periphery, and projected them into newly created social domains (schools, bureaucracies, unions, parties)--establishing a predominance of stylized "
precedence relations" that are neither traditional nor modern.