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Three is easy, two is hard: open shop sum-batch scheduling problem refined
Authors:Irina V Gribkovskaia  Vitaly A Strusevich  Dominique de Werra
Institution:a Molde University College, Molde, Norway
b Hong Kong University of Science and Technology, Hong Kong
c University of Greenwich, London, UK
d École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Abstract:For the two-machine open shop sum-batch problem to minimize the makespan an optimal schedule is known to contain one, two or three batches on each machine, and finding a two-batch optimal schedule is NP-hard. We adapt the open shop algorithm by de Werra for finding a three-batch optimal schedule in linear time.
Keywords:Scheduling  Open shop  Batching  Polynomial-time algorithm
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