Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization
1
Department of Mathematics and Statistics, University of Turku, FI-20014 Turku, Finland
2
Laboratory of Mathematics, Tampere University of Technology, FI-28100 Pori, Finland
*
Author to whom correspondence should be addressed.
Algorithms 2019, 12(12), 252; https://doi.org/10.3390/a12120252
Received: 24 October 2019
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Revised: 21 November 2019
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Accepted: 22 November 2019
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Published: 25 November 2019
(This article belongs to the Special Issue Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov)
Several countries utilize nuclear power and face the problem of what to do with the spent nuclear fuel. One possibility, which is under the scope in this paper, is to dispose of the fuel assemblies in the disposal facility. Before the assemblies can be disposed of, they must cool down their decay heat power in the interim storage. Next, they are loaded into canisters in the encapsulation facility, and finally, the canisters are placed in the disposal facility. In this paper, we model this process as a nonsmooth multiobjective mixed-integer nonlinear optimization problem with the minimization of nine objectives: the maximum number of assemblies in the storage, maximum storage time, average storage time, total number of canisters, end time of the encapsulation, operation time of the encapsulation facility, the lengths of disposal and central tunnels, and total costs. As a result, we obtain the disposal schedule i.e., amount of canisters disposed of periodically. We introduce the interactive multiobjective optimization method using the two-slope parameterized achievement scalarizing functions which enables us to obtain systematically several different Pareto optimal solutions from the same preference information. Finally, a case study adapting the disposal in Finland is given. The results obtained are analyzed in terms of the objective values and disposal schedules.
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Keywords:
achievement scalarizing functions; interactive method; multiobjective optimization; nonsmooth optimization; spent nuclear fuel disposal
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MDPI and ACS Style
Montonen, O.; Ranta, T.; Mäkelä, M.M. Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization. Algorithms 2019, 12, 252. https://doi.org/10.3390/a12120252
AMA Style
Montonen O, Ranta T, Mäkelä MM. Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization. Algorithms. 2019; 12(12):252. https://doi.org/10.3390/a12120252
Chicago/Turabian StyleMontonen, Outi, Timo Ranta, and Marko M. Mäkelä. 2019. "Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization" Algorithms 12, no. 12: 252. https://doi.org/10.3390/a12120252
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