Cumulative Functions Scheduler

Cumul Functions

Feasible

Cumul Functions

Feasible

Global Constraints

Min Capacity:

Max Capacity:

Intervals

Gantt Chart (Drag to move/resize)

Cumulative Function

Limits Usage Violation

References

Cumulative functions were introduced in:

Laborie, P., Rogerie, J., Shaw, P., & Vilím, P. (2009). Reasoning with Conditional Time-Intervals. Part II: An Algebraical Model for Resources. In FLAIRS.

This paper explains how to implement them using a Generalized Cumulative Constraint:

Schaus, P., Thomas, C., & Kameugne, R. (2025). Implementing Cumulative Functions with Generalized Cumulative Constraints. ArXiv.