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- W4330337445 abstract "In the field of distributed system, Arbitrary Pattern Formation (APF) problem is an extensively studied problem. The purpose of APF is to design an algorithm to move a swarm of robots to a particular position on an environment (discrete or continuous) such that the swarm can form a specific but arbitrary pattern given previously to every robot as an input. In this paper the solvability of the APF problem on a continuous circle has been discussed for a swarm of oblivious and silent robots without chirality under a semi synchronous scheduler. Firstly a class of configurations called textit{Formable Configuration}($FC$) has been provided which is necessary to solve the APF problem on a continuous circle. Then considering the initial configuration to be an $FC$, an deterministic and distributed algorithm has been provided that solves the APF problem for $n$ robots on a continuous circle of fixed radius within $O(n)$ epochs without collision." @default.
- W4330337445 created "2023-03-22" @default.
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- W4330337445 date "2023-03-18" @default.
- W4330337445 modified "2023-09-23" @default.
- W4330337445 title "Arbitrary Pattern Formation on a Continuous Circle by Oblivious Robot Swarm" @default.
- W4330337445 doi "https://doi.org/10.48550/arxiv.2303.10366" @default.
- W4330337445 hasPublicationYear "2023" @default.
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