Computational geometry: an introduction
Computational geometry: an introduction
Computing the Envelope for Stepwise-Constant Resource Allocations
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
A New Multi-resource cumulatives Constraint with Negative Heights
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Constraint based scheduling to deal with uncertain durations and self-timed execution
CP'10 Proceedings of the 16th international conference on Principles and practice of constraint programming
A resource cost aware cumulative
CSCLP'09 Proceedings of the 14th Annual ERCIM international conference on Constraint solving and constraint logic programming
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This article first introduces an extension of the classical cumulativeconstraint: each task is no more a rectangle but rather a sequence of contiguous trapezoid sub-tasks with variable duration and heights. The resource function is no more constant but is a positive or negative piecewise linear function of time. Finally, a task is no more pre-assigned to one resource, but to a task corresponds a set of possible resource assignments. In this context, this article provides an O(p·(logp+ q)) for computing all the cumulated resource profiles where qis the number of resources and pis the total number of trapezoid sub-tasks of all the tasks.