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Minimizing flow time in cyclic schedules for identical jobs with acyclic precedence: the bottleneck lower bound
Authors:Woonghee Tim Huh  Ganesh JanakiramanPeter L Jackson  Nidhi Sawhney
Institution:a School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY 14853, USA
b Carmen Systems AB, Odinsgaton 9, Goteborg 411 03, Sweden
Abstract:This paper studies minimizing the flow time of a cyclic schedule for repeated identical jobs, where one job is started/completed in each cycle, subject to the schedule achieving maximum throughput. We propose a branch and bound method for a single machine problem, and use this method to derive an improved lower bound for the multiple machine problem.
Keywords:Cyclic scheduling  Flow time  Branch and bound  Lower bound
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