Queueing with neighbours
(2010) 378. p.464-482- Abstract
- In this paper we study asymptotic behaviour of a growth process generated by a semi-deterministic variant of the cooperative sequential adsorption model (CSA). This model can also be viewed as a particular example from queueing theory, to which John Kingman has contributed so much. We show that the quite limited randomness of our model still generates a rich collection of possible limiting behaviours.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4359875
- author
- Shcherbakov, Vadim and Volkov, Stanislav LU
- publishing date
- 2010
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- cooperative sequential adsorption, interacting particle systems, max-plus algebra, queueing, Tetris
- categories
- Popular Science
- host publication
- Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman
- editor
- Bingham, N. H. and Goldie, C. M.
- volume
- 378
- pages
- 464 - 482
- publisher
- Cambridge University Press
- ISBN
- 9780521145770
- 9781139107174
- DOI
- 10.1017/CBO9781139107174.022
- language
- English
- LU publication?
- no
- id
- dc1e5906-9723-4485-87b8-c2abdcc35634 (old id 4359875)
- date added to LUP
- 2016-04-04 10:48:02
- date last changed
- 2019-05-08 02:15:32
@inbook{dc1e5906-9723-4485-87b8-c2abdcc35634, abstract = {{In this paper we study asymptotic behaviour of a growth process generated by a semi-deterministic variant of the cooperative sequential adsorption model (CSA). This model can also be viewed as a particular example from queueing theory, to which John Kingman has contributed so much. We show that the quite limited randomness of our model still generates a rich collection of possible limiting behaviours.}}, author = {{Shcherbakov, Vadim and Volkov, Stanislav}}, booktitle = {{Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman}}, editor = {{Bingham, N. H. and Goldie, C. M.}}, isbn = {{9780521145770}}, keywords = {{cooperative sequential adsorption; interacting particle systems; max-plus algebra; queueing; Tetris}}, language = {{eng}}, pages = {{464--482}}, publisher = {{Cambridge University Press}}, title = {{Queueing with neighbours}}, url = {{http://dx.doi.org/10.1017/CBO9781139107174.022}}, doi = {{10.1017/CBO9781139107174.022}}, volume = {{378}}, year = {{2010}}, }