RESOURCE LEVELING OF LINEAR SCHEDULES WITH SINGULARITY FUNCTIONS Gunnar Lucko

This paper builds on a new methodology of modeling linear schedules with singularity functions. These unique functions ha-ve 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 de-scribes the first moment of area of the resource profile. Minimizing the moment is the objective function for leveling the re-source profile. A genetic algorithm with inverse ranking is computerized to perform successive iterations. Chromosomes con-tain 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.