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Object Migration Automata for Non-equal Partitioning Problems with Known Partition Sizes

Abstract : Solving partitioning problems in random environments is a classic and challenging task, and has numerous applications. The existing Object Migration Automaton (OMA) and its proposed enhancements, which include the Pursuit and Transitivity phenomena, can solve problems with equi-sized partitions. Currently, these solutions also include one where the partition sizes possess a Greatest Common Divisor (GCD). In this paper, we propose an OMA-based solution that can solve problems with both equally and non-equally-sized groups, without restrictions on their sizes. More specifically, our proposed approach, referred to as the Partition Size Required OMA (PSR-OMA), can solve general partitioning problems, with the only additional requirement being that the unconstrained partitions’ sizes are known a priori. The scheme is a fundamental contribution in the field of partitioning algorithms, and the numerical results presented demonstrate that PSR-OMA can solve both equi-partitioning and non-equi-partitioning problems efficiently, and is the only known solution that resolves this problem.
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https://hal.inria.fr/hal-03287690
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Submitted on : Thursday, July 15, 2021 - 6:11:15 PM
Last modification on : Friday, August 13, 2021 - 4:29:53 PM
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Rebekka Olsson Omslandseter, Lei Jiao, B. John John Oommen. Object Migration Automata for Non-equal Partitioning Problems with Known Partition Sizes. 17th IFIP International Conference on Artificial Intelligence Applications and Innovations (AIAI), Jun 2021, Hersonissos, Crete, Greece. pp.129-142, ⟨10.1007/978-3-030-79150-6_11⟩. ⟨hal-03287690⟩

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