Estimating Maximum Resource Load for Resource-Constrained Project Scheduling Problem
نویسنده
چکیده
This paper focuses on estimating maximum resource loads in ResourceConstrained Project Scheduling Problem (RCPSP). We examine a variant of vector sum problem with fractions: considering preemptions allowed, determine what part of each of n jobs should be accomplished in order to minimize sum of squares of non-consumed amounts of resources, taking into account the resource constraints along with minimizing the number of preemptions. We prove that in case of 2 resources, the optimal solution contains only 2 or less preemptions, and present two polynomial algorithms of finding such solution with time complexities of O(n) operations. We also present an investigation of the general case of arbitrary number of resources.
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