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Fixed budget computations : a different perspective on run time analysis
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Jansen, Thomas and Zarges, Christine (2012) Fixed budget computations : a different perspective on run time analysis. In: Fourteenth international conference on Genetic and evolutionary computation conference, Philadelphia, USA., 7-11 July 2012. Published in: Proceedings of the fourteenth international conference on genetic and evolutionary computation conference pp. 1325-1332. ISBN 9781450311779. doi:10.1145/2330163.2330347
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Official URL: http://dx.doi.org/10.1145/2330163.2330347
Abstract
Randomised search heuristics are used in practice to solve difficult problems where no good problem-specific algorithm is known. They deliver a solution of acceptable quality in reasonable time in many cases. When theoretically analysing the performance of randomised search heuristics one usually considers the average time needed to find an optimal solution or one of a pre-specified approximation quality. This is very different from practice where usually the algorithm is stopped after some time. For a theoretical analysis this corresponds to investigating the quality of the solution obtained after a pre-specified number of function evaluations called budget. Such a perspective is taken here and two simple randomised search heuristics, random local search and the (1+1) evolutionary algorithm, are analysed on simple and well-known example functions. If the budget is significantly smaller than the expected time needed for optimisation the behaviour of the algorithms can be very different depending on the problem at hand. Precise analytical results are proven. They demonstrate novel and interesting challenges in the analysis of randomised search heuristics. The potential of this different perspective to provide a more practically useful theory is shown.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science > Computer Science | ||||
| Journal or Publication Title: | Proceedings of the fourteenth international conference on genetic and evolutionary computation conference | ||||
| Publisher: | ACM | ||||
| ISBN: | 9781450311779 | ||||
| Book Title: | Proceedings of the fourteenth international conference on Genetic and evolutionary computation conference - GECCO '12 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Page Range: | pp. 1325-1332 | ||||
| DOI: | 10.1145/2330163.2330347 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | Fourteenth international conference on Genetic and evolutionary computation conference | ||||
| Type of Event: | Conference | ||||
| Location of Event: | Philadelphia, USA. | ||||
| Date(s) of Event: | 7-11 July 2012 |
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