Resource allocation with wobbly functions
(2002) In Computational Optimization and Applications 23(2). p.171-200- Abstract
- We consider resource allocation with separable objective functions defined over subranges of the integers. While it is well known that (the maximisation version of) this problem can be solved efficiently if the objective functions are concave, the general problem of resource allocation with functions that are not necessarily concave is difficult. In this article, we focus on a large class of problem instances, with objective functions that are close to a concave function or some other smooth function, but with small irregularities in their shape. It is described that these properties are important in many practical situations. The irregularities make it hard or impossible to use known, efficient resource allocation techniques. We show... (More)
- We consider resource allocation with separable objective functions defined over subranges of the integers. While it is well known that (the maximisation version of) this problem can be solved efficiently if the objective functions are concave, the general problem of resource allocation with functions that are not necessarily concave is difficult. In this article, we focus on a large class of problem instances, with objective functions that are close to a concave function or some other smooth function, but with small irregularities in their shape. It is described that these properties are important in many practical situations. The irregularities make it hard or impossible to use known, efficient resource allocation techniques. We show that, for this class of functions the optimal solution can be computed efficiently. We support our claims by experimental evidence. Our experiments show that our algorithm in hard and practically relevant cases runs up to 40-60 times faster than the standard method. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/326187
- author
- Andersson, A ; Carlsson, Per LU and Ygge, F
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- distributed resource allocation, non-concave optimization, optimization, non-convex, resource allocation, computational optimization
- in
- Computational Optimization and Applications
- volume
- 23
- issue
- 2
- pages
- 171 - 200
- publisher
- Springer
- external identifiers
-
- wos:000178468900002
- scopus:0036853858
- ISSN
- 0926-6003
- DOI
- 10.1023/A:1020524817896
- language
- English
- LU publication?
- yes
- id
- f5f79200-9e9a-4f02-825b-75e269ca7321 (old id 326187)
- date added to LUP
- 2016-04-01 16:45:50
- date last changed
- 2022-01-28 21:55:58
@article{f5f79200-9e9a-4f02-825b-75e269ca7321,
abstract = {{We consider resource allocation with separable objective functions defined over subranges of the integers. While it is well known that (the maximisation version of) this problem can be solved efficiently if the objective functions are concave, the general problem of resource allocation with functions that are not necessarily concave is difficult. In this article, we focus on a large class of problem instances, with objective functions that are close to a concave function or some other smooth function, but with small irregularities in their shape. It is described that these properties are important in many practical situations. The irregularities make it hard or impossible to use known, efficient resource allocation techniques. We show that, for this class of functions the optimal solution can be computed efficiently. We support our claims by experimental evidence. Our experiments show that our algorithm in hard and practically relevant cases runs up to 40-60 times faster than the standard method.}},
author = {{Andersson, A and Carlsson, Per and Ygge, F}},
issn = {{0926-6003}},
keywords = {{distributed resource allocation; non-concave optimization; optimization; non-convex; resource allocation; computational optimization}},
language = {{eng}},
number = {{2}},
pages = {{171--200}},
publisher = {{Springer}},
series = {{Computational Optimization and Applications}},
title = {{Resource allocation with wobbly functions}},
url = {{http://dx.doi.org/10.1023/A:1020524817896}},
doi = {{10.1023/A:1020524817896}},
volume = {{23}},
year = {{2002}},
}