slots algorithm - Makespan minimization of multi-slot just-in-time scheduling on single and parallel machines | Journal of Scheduling omg slot 888

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The paper addresses the problem of multi-slot just-in-time scheduling. Unlike the existing literature on this subject, it studies a more general criterion—the minimization of the schedule makespan rather than the minimization of the number of slots used by schedule. It gives an O(nlog 2 n)-time optimization algorithm for the single machine problem. For arbitrary number of m>1 identical parallel machines it presents an O(nlog n)-time optimization algorithm for the case when the processing time of each job does not exceed its due date. For the general case on m>1 machines, it proposes a polynomial time constant factor approximation algorithm.

A Polynomial-Time Algorithm for 1/2-Well-Supported Nash Equilibria in Bimatrix Games.

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