Move optimal and time optimal arbitrary pattern formations by asynchronous robots on infinite grid. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: Ghosh, Satakshi; Goswami, Pritam; Sharma, Avisek; Sau, Buddhadeb
• Is Part Of: International journal of parallel, emergent and distributed systems. Volume 38:Issue 1(2023)
• Page Start: 35
• Page End: 57
• Publication Date: 2023-01-02
• Subjects: Distributed computing -- autonomous robots -- arbitrary pattern formation -- robots with lights -- asynchronous -- look–compute–move cycle -- grid; Parallel computers -- Periodicals; Electronic data processing -- Distributed processing -- Periodicals; Computer algorithms -- Periodicals; 004.35
• DOI: 10.1080/17445760.2022.2124411
• Languages: English
• ISSNs: 1744-5760

Abstract

ABSTRACT: The ARBITRARY PATTERN FORMATION (APF ) is widely studied in distributed computing for swarm robots. This paper deals with the APF problem in an infinite grid under an asynchronous scheduler. In [Bose K, Adhikary R, Kundu MK, et al. Arbitrary pattern formation on infinite grid by asynchronous oblivious robots. Theor Comput Sci. 2020;815:213–227], the authors proposed an algorithm for APF problem in O B L O T model under an asynchronous scheduler, but the proposed algorithm was neither time optimal nor move optimal. This work provides two algorithms that solve APF problem in an asynchronous scheduler. The first algorithm is move optimal considering O B L O T model and the second algorithm is move and time optimal considering the L U M I model, where each robot has one light having three distinct colours.