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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 programming methods, a dynamic programming based method and a branch-and-bound method. Several constructive...
In this paper, we consider the parallel-machine scheduling problem with scheduled maintenance periods to minimize the total (non-weighted and weighted) completion time. For the case of single maintenance period on each machine, we provide an adapted definition of the "SPT" algorithm and we propose an MSPT2 heuristic. For the general case, we present a dynamic programming model to solve optimally...
In this paper, we consider the parallel-machine scheduling problem with a maintenance scheduled period on each machine, to minimize the sum of completion times of jobs. We propose a branch-and-bound method to solve this problem. We define a new separation scheme for this method and we compare it with the first scheme that we preconized for this method at the beginning. Dominance properties, upper...
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