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Perpetual maintenance of machines with different urgency requirements.
- Source :
-
Journal of Computer & System Sciences . Feb2024, Vol. 139, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *APPROXIMATION algorithms
*BAMBOO
*MACHINERY
*GARDENS
Subjects
Details
- Language :
- English
- ISSN :
- 00220000
- Volume :
- 139
- Database :
- Academic Search Index
- Journal :
- Journal of Computer & System Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 172849396
- Full Text :
- https://doi.org/10.1016/j.jcss.2023.103476