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Makespan minimization for two parallel machines scheduling with a periodic availability constraint
Authors:Dehua Xu  Zhenmin Cheng  Yunqiang Yin  Hongxing Li
Affiliation:1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:A two parallel machines scheduling problem where one machine is periodically unavailable with the objective of minimizing makespan is considered. It is showed that the worst-case ratio of the classical LPT algorithm and the competitive ratio of the LS algorithm are 3/2 and 2, respectively, for the offline version and the online version of the problem.
Keywords:Scheduling   Parallel machine   Availability   Heuristic algorithm
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