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Local protocols for contracting and expanding robot formation problems / submitted by Jannik Castenow ; [Reviewers: Prof. Dr. Friedhelm Meyer auf der Heide, Paderborn University, Prof. Dr. Christian Scheideler, Paderborn University]. Paderborn, 2023
Inhalt
1 Introduction
1.1 Scope
1.2 Outline of the Thesis and Main Results
2 Robot Models & Notation
2.1 OBLOT
2.2 LUMI
2.3 Chains
2.4 Naming
3 Related Work
I Contracting Problems
4 Gathering in the Oblot Model
4.1 Contribution
4.2 Model Recap and Preliminaries
4.3 Continuous Time Gathering
4.4 Discrete Time Gathering
4.5 Conclusion & Outlook
5 Chain-Formation in the LUMI Model
5.1 Contribution
5.2 Model Recap and Preliminaries
5.3 Run Sequences and Movement Operations
5.4 Protocols for the Fsync Scheduler
5.5 Analyses
5.6 Synchronization for the Ssync and Async Schedulers
5.7 Conclusion & Outlook
6 Gathering in the LUMI Model
6.1 Contribution
6.2 Model Recap and Preliminaries
6.3 Protocol for the Fsync Scheduler
6.4 Synchronization for the SSync and Async Schedulers
6.5 Conclusion & Outlook
II Expanding Problems
7 The Max-Chain-Formation Problem
7.1 Contribution
7.2 Model Recap and Preliminaries
7.3 Protocols and Analyses in the Foblot Model
7.4 Protocols and Analyses in the Coblot Model
7.5 On the Speed of the Outer Robots
7.6 Conclusion & Outlook
8 The Max-Line-Formation Problem
8.1 Contribution
8.2 Model Recap and Preliminaries
8.3 Results in the Oblot Model
8.4 Results in Lumi Model
8.5 Conclusion & Outlook
Bibliography
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