Scheduling independent tasks with multiple modes
Discrete Applied Mathematics - Special volume on partitioning and decomposition in combinatorial optimization
A new approach for scheduling independent tasks with multiple modes
Journal of Heuristics
Heuristic algorithms for assigning and scheduling flight missions in a military aviation unit
Computers and Industrial Engineering
The solution algorithms for the multiprocessor scheduling with workspan criterion
Expert Systems with Applications: An International Journal
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We consider the following multi-mode task scheduling problem. Given are a set of independent tasks, and a set of single unit dedicated renewable resources. At any time each resource can be used by a single task at most. Each task has to be executed without preemption in one out of its possible execution modes, where each mode identifies a subset of resources simultaneously required by the task for its execution. The aim of the problem is to find a mode assignment for each task, and a schedule of the tasks to be executed in the assigned modes, such that the total amount of resources requested by tasks in any time period does not exceed the resource availability, and the schedule length, i.e., the makespan, is minimized. From the complexity viewpoint this problem is NP-hard. Heuristic algorithms for scheduling tasks with multiple modes for the minimum schedule length criterion involve in general two distinct phases, task mode assignment and task scheduling. In this paper, we propose a novel two-phase approach metaheuristic based on strategic oscillation and on a randomized choice of the neighborhood of the local search to avoid being trapped in local optima. The proposed approach, that can be interpreted as a simplification of a previous work by the authors, is compared to two state-of-the-art algorithms.