Journal of Computational and Applied Mathematics2022,Vol.40015.DOI:10.1016/j.cam.2021.113697

On some synchronization problems with multiple instances

Cornilly, Dries Puccetti, Giovanni Rueschendorf, Ludger Vanduffel, Steven
Journal of Computational and Applied Mathematics2022,Vol.40015.DOI:10.1016/j.cam.2021.113697

On some synchronization problems with multiple instances

Cornilly, Dries 1Puccetti, Giovanni 2Rueschendorf, Ludger 3Vanduffel, Steven4
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作者信息

  • 1. Asteria Investment Managers SA
  • 2. Univ Milan
  • 3. Univ Freiburg
  • 4. Vrije Univ Brussel
  • 折叠

Abstract

Many classical synchronization problems such as the assembly line crew scheduling problem (ALCS), some data association problems or multisensor tracking problems can be formulated as finding intra-column rearrangements for a single matrix repre-senting costs, distances, similarities or time requirements. In this paper, we consider an extension of these problems to the case of multiple matrices, reflecting various possible instances (scenarios). To approximate optimal rearrangements, we introduce the Block Swapping Algorithm (BSA) and a further customization of it that we call the customized Block Swapping Algorithm (Cust BSA). A numerical study shows that the two algorithms we propose - in particular Cust BSA - yield high-quality solutions and also deal efficiently with high-dimensional set-ups. (C) 2021 Elsevier B.V. All rights reserved.

Key words

Assembly line crew scheduling (ALCS)/Swapping algorithm/Rearrangement algorithm/Multidimensional assignment problems/MINIMIZE/BOUNDS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量27
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