Perpetual maintenance of machines with different urgency requirements
(2024) In Journal of Computer and System Sciences 139.- 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 constraint 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... (More)
- 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 constraint 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/dcec6d5b-a860-4ec4-8148-58ae7c98aa69
- author
- Gasieniec, Leszek ; Jurdziński, Tomasz ; Klasing, Ralf ; Levcopoulos, Christos LU ; Lingas, Andrzej LU ; Min, Jie and Radzik, Tomasz
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Computer and System Sciences
- volume
- 139
- article number
- 103476
- publisher
- Elsevier
- external identifiers
-
- scopus:85170649660
- ISSN
- 0022-0000
- DOI
- 10.1016/j.jcss.2023.103476
- language
- English
- LU publication?
- yes
- id
- dcec6d5b-a860-4ec4-8148-58ae7c98aa69
- date added to LUP
- 2023-08-30 07:19:27
- date last changed
- 2023-10-26 15:01:45
@article{dcec6d5b-a860-4ec4-8148-58ae7c98aa69, 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 constraint 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.}}, author = {{Gasieniec, Leszek and Jurdziński, Tomasz and Klasing, Ralf and Levcopoulos, Christos and Lingas, Andrzej and Min, Jie and Radzik, Tomasz}}, issn = {{0022-0000}}, language = {{eng}}, publisher = {{Elsevier}}, series = {{Journal of Computer and System Sciences}}, title = {{Perpetual maintenance of machines with different urgency requirements}}, url = {{http://dx.doi.org/10.1016/j.jcss.2023.103476}}, doi = {{10.1016/j.jcss.2023.103476}}, volume = {{139}}, year = {{2024}}, }