In this article, we consider the single-machine scheduling problem with one availability constraint. We aim to minimize the weighted sum of completion times. We propose a branch-and-bound algorithm based on a set of improved lower bounds and heuristics. The numerical experiments show the...

In this paper, we study the identical parallel machine scheduling problem with a planned maintenance period on each machine to minimize the sum of completion times. This paper is a first approach for this problem. We propose three exact methods to solve the problem at hand: mixed integer linear...

Most scheduling problems are complex combinatorial problems and very difficult to solve [Manage. Sci. 35 (1989) 164; F.S. Hillier, G.J. Lieberman, Introduction to Operations Research, Holden-Day, San Francisco, CA, 1967]. That is why, lots of methods focus on the optimization according to a single...