ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2014. Vol. 9

Polynomially Solvable Cases of the Project Scheduling Problem with Changing Consumption and Supply Rates of Nonaccumulative Resources

A. V. Eremeev, J. V. Kovalenko

We consider a strongly NP-hard project scheduling problem with nonaccumulative resources and sequence constraints. A distinctive feature of the formulation is that the rate of resource consumption by a task may change in duration of the task, and the resource availability depends on time. The problem is proved to be pseudo-polynomially solvable if the width of the partial order is bounded by a constant, being NP-hard. New polynomially solvable case of the problem is found.

project scheduling, nonaccumulative resources, dynamic programming, polynomial solvability, pseudo-polynomial solvability

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