2000
DOI: 10.1287/mnsc.46.10.1365.12272
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A Time-Oriented Branch-and-Bound Algorithm for Resource-Constrained Project Scheduling with Generalised Precedence Constraints

Abstract: Resource-constrained project scheduling with generalised precedence constraints is a very general scheduling model with applications in areas such as make-to-order production planning. We describe a time-oriented branch-and-bound algorithm that uses constraint-propagation techniques which actively exploit the temporal and resource constraints of the problem in order to reduce the search space. Extensive computational experiments with systematically generated test problems show that the algorithm solves more pr… Show more

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Cited by 100 publications
(54 citation statements)
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References 21 publications
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“…Problems with minimal and maximal time lags have been discussed by, e.g., Bartusch et al [16], Cesta et al [36], Dorndorf et al [58], Neumann and Zimmermann [135,137], Neumann et al [138], Schwindt [161], and Schwindt and Trautmann [162]). The concepts of minimal and maximal time lags has also been considered within the multi-mode RCPSP, see Barrios et al [14], Brucker and Knust [30], Heilmann [82,83], de Reyck and Herroelen [47] and Calhoun et al [34].…”
Section: Maximal Time Lagsmentioning
confidence: 99%
“…Problems with minimal and maximal time lags have been discussed by, e.g., Bartusch et al [16], Cesta et al [36], Dorndorf et al [58], Neumann and Zimmermann [135,137], Neumann et al [138], Schwindt [161], and Schwindt and Trautmann [162]). The concepts of minimal and maximal time lags has also been considered within the multi-mode RCPSP, see Barrios et al [14], Brucker and Knust [30], Heilmann [82,83], de Reyck and Herroelen [47] and Calhoun et al [34].…”
Section: Maximal Time Lagsmentioning
confidence: 99%
“…Dorndorf et al (2000) proposed an effective branch and bound method for the RCPSP problem denoted as PSjtempjC max (Błażewicz et al 1996;Brucker et al 1999a). The solution method is based on the constraint propagation that reduces the search space.…”
Section: Related Workmentioning
confidence: 99%
“…It is obvious that the choice of appropriate preference weights and priorities as well as the ordering of the partial goals by importance using parameters ai, 0%, may have a substantial impact on the optimal gate schedule. The basic optimization algorithm is a truncated branch and bound procedure (see [25] and [26]). The algorithm proceeds by assigning modes to the activities and by resolving resource conflicts that might appear.…”
Section: Find a Schedule (S C M) Which Assures The Following Constrmentioning
confidence: 99%