Lookahead policy and genetic algorithm for solving nurse rostering problems

Previous research has shown that value function approximation in dynamic programming does not perform too well when tackling difficult combinatorial optimisation problem such as multi-stage nurse rostering. This is because the large action space that need to be explored. This paper proposes to repla...

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Main Authors: Shi, Peng, Landa-Silva, Dario
Format: Conference or Workshop Item
Language:English
Published: 2018
Subjects:
Online Access:https://eprints.nottingham.ac.uk/53343/
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author Shi, Peng
Landa-Silva, Dario
author_facet Shi, Peng
Landa-Silva, Dario
author_sort Shi, Peng
building Nottingham Research Data Repository
collection Online Access
description Previous research has shown that value function approximation in dynamic programming does not perform too well when tackling difficult combinatorial optimisation problem such as multi-stage nurse rostering. This is because the large action space that need to be explored. This paper proposes to replace the value function approximation by a genetic algorithm in order to generate solutions to the stages before applying the lookahead policy to evaluate the future effect of decisions made in previous stages. Then, the paper proposes a hybrid approach that generates sets of weekly rosters through a genetic algorithm for consideration by the lookahead procedure that assembles a solution for the whole planning horizon of several weeks. Results indicate that this hybrid between an evolutionary algorithm and the lookahead policy mechanism from dynamic programming performs more competitive than the value function approximation dynamic programming investigated before. Results also show that the proposed algorithm is ranked well in respect of several other algorithms applied to the same set of problem instances. The intended contribution of this paper is towards a better understanding of how to successfully apply dynamic programming mechanisms to tackle difficult combinatorial optimisation problems.
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spelling nottingham-533432018-10-08T10:10:26Z https://eprints.nottingham.ac.uk/53343/ Lookahead policy and genetic algorithm for solving nurse rostering problems Shi, Peng Landa-Silva, Dario Previous research has shown that value function approximation in dynamic programming does not perform too well when tackling difficult combinatorial optimisation problem such as multi-stage nurse rostering. This is because the large action space that need to be explored. This paper proposes to replace the value function approximation by a genetic algorithm in order to generate solutions to the stages before applying the lookahead policy to evaluate the future effect of decisions made in previous stages. Then, the paper proposes a hybrid approach that generates sets of weekly rosters through a genetic algorithm for consideration by the lookahead procedure that assembles a solution for the whole planning horizon of several weeks. Results indicate that this hybrid between an evolutionary algorithm and the lookahead policy mechanism from dynamic programming performs more competitive than the value function approximation dynamic programming investigated before. Results also show that the proposed algorithm is ranked well in respect of several other algorithms applied to the same set of problem instances. The intended contribution of this paper is towards a better understanding of how to successfully apply dynamic programming mechanisms to tackle difficult combinatorial optimisation problems. 2018-09-16 Conference or Workshop Item PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/53343/1/dls_lod2018.pdf Shi, Peng and Landa-Silva, Dario (2018) Lookahead policy and genetic algorithm for solving nurse rostering problems. In: 4th International Conference on Machine Learning, Optimization and Data Science (LOD 2018), 13-16 September, 2018, Volterra, Italy. hybrid algorithm genetic algorithm lookahead policy eval- uation dynamic programming nurse rostering problem
spellingShingle hybrid algorithm
genetic algorithm
lookahead policy eval- uation
dynamic programming
nurse rostering problem
Shi, Peng
Landa-Silva, Dario
Lookahead policy and genetic algorithm for solving nurse rostering problems
title Lookahead policy and genetic algorithm for solving nurse rostering problems
title_full Lookahead policy and genetic algorithm for solving nurse rostering problems
title_fullStr Lookahead policy and genetic algorithm for solving nurse rostering problems
title_full_unstemmed Lookahead policy and genetic algorithm for solving nurse rostering problems
title_short Lookahead policy and genetic algorithm for solving nurse rostering problems
title_sort lookahead policy and genetic algorithm for solving nurse rostering problems
topic hybrid algorithm
genetic algorithm
lookahead policy eval- uation
dynamic programming
nurse rostering problem
url https://eprints.nottingham.ac.uk/53343/