Optimal Gathering Over Weber Meeting Nodes in Infinite Grid

Article Type

Research Article

Publication Title

International Journal of Foundations of Computer Science

Abstract

The gathering over meeting nodes problem requires the robots to gather at one of the pre-defined meeting nodes. This paper investigates the problem with respect to the objective function that minimizes the total number of moves made by all the robots. In other words, the sum of the distances traveled by all the robots is minimized while accomplishing the gathering task. The robots are deployed on the nodes of an anonymous two-dimensional infinite grid which has a subset of nodes marked as meeting nodes. The robots do not agree on a global coordinate system and operate under an asynchronous scheduler. A deterministic distributed algorithm has been proposed to solve the problem for all those solvable configurations, and the initial configurations for which the problem is unsolvable have been characterized. The proposed gathering algorithm is optimal with respect to the total number of moves performed by all the robots in order to finalize the gathering.

First Page

25

Last Page

49

DOI

https://10.1142/S0129054122500174

Publication Date

1-1-2023

Comments

Open Access, Green

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