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A two-machine flow-shop scheduling problem with controllable processing times modeled by a non-linear convex resource consumption function is considered in this paper. The objective is to minimize the resource consumption that is needed to control the makespan not to exceed the given deadline. The problem is proved to be stronglyN P -hard. An optimal resource allocation algorithm is designed to calculate the optimal processing times of the jobs, while the optimal or near-optimal processing sequence of the jobs is determined by a heuristic or a tabu-search algorithm.

Schedule Two-machine Flow-shop with Controllable Processing Times Using Tabu-search