Sequence step algorithm for continuous resource utilization in probabilistic repetitive projects
Proceedings of the 38th conference on Winter simulation
Optimal work breaks in deterministic and probabilistic repetitive projects
Proceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come
Flexible modeling of linear schedules for integrated mathematical analysis
Proceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come
Simulation and optimization for construction repetitive projects using promodel and SimRunner
Proceedings of the 40th Conference on Winter Simulation
Calculating float in linear schedules with singularity functions
Proceedings of the 40th Conference on Winter Simulation
Evolutionary computation: comments on the history and current state
IEEE Transactions on Evolutionary Computation
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This paper builds on a new methodology of modeling linear schedules with singularity functions. These unique functions have been used successfully for criticality and float analyses. The approach is extended to deriving one flexible equation for the complete resource profile of a schedule, including any changes in the resource rates of activities. A subsequent equation describes the first moment of area of the resource profile. Minimizing the moment is the objective function for leveling the resource profile. A genetic algorithm with inverse ranking is computerized to perform successive iterations. Chromosomes contain different permutations resource rates at which the activities can be performed. Probabilistic reproduction, crossover, and mutation steps mimic a biological selection process. Step-by-step descriptions of the calculations and a detailed example of a construction project illustrate how singularity functions can provide a powerful model that integrates the linear schedule with its resource profile and facilitates the overall optimization process.