Perpetual maintenance of machines with different urgency requirements

Gąsieniec, Leszek ORCID: 0000-0003-1809-9814, Jurdziński, Tomasz, Klasing, Ralf, Levcopoulos, Christos, Lingas, Andrzej, Min, Jie and Radzik, Tomasz (2023) Perpetual maintenance of machines with different urgency requirements. Journal of Computer and System Sciences, 139. p. 103476.

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Abstract

A garden is populated by n bamboos, each with its own daily growth rate. The Bamboo Garden Trimming Problem (BGT) is to design for a robotic gardener a perpetual schedule of cutting bamboos to keep the elevation of the garden as low as possible. The frequency of cutting is constrained by the time needed to move from one bamboo to the next, which is one day in Discrete BGT and is defined by the distance between the two bamboos in Continuous BGT. The bamboo garden is a metaphor for a collection of machines which have to be serviced, with different frequencies, by a robot which can service only one machine at a time. For Discrete BGT, we show tighter approximation algorithms, with one of them settling a long-standing conjecture about the related Pinwheel problem. For Continuous BGT, we propose approximation algorithms which achieve logarithmic approximation ratios.

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User:	Symplectic Admin
Date Deposited:	04 Sep 2023 08:04
Last Modified:	30 Sep 2023 07:29
DOI:	10.1016/j.jcss.2023.103476
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3172503