A test instance generator for multiobjective mixed-integer optimization

Gabriele Eichfelder (), Tobias Gerlach () and Leo Warnow ()
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Gabriele Eichfelder: Technische Universität Ilmenau
Tobias Gerlach: Technische Universität Ilmenau
Leo Warnow: Technische Universität Ilmenau

Mathematical Methods of Operations Research, 2024, vol. 100, issue 1, No 14, 385-410

Abstract: Abstract Application problems can often not be solved adequately by numerical algorithms as several difficulties might arise at the same time. When developing and improving algorithms which hopefully allow to handle those difficulties in the future, good test instances are required. These can then be used to detect the strengths and weaknesses of different algorithmic approaches. In this paper we present a generator for test instances to evaluate solvers for multiobjective mixed-integer linear and nonlinear optimization problems. Based on test instances for purely continuous and purely integer problems with known efficient solutions and known nondominated points, suitable multiobjective mixed-integer test instances can be generated. The special structure allows to construct instances scalable in the number of variables and objective functions. Moreover, it allows to control the resulting efficient and nondominated sets as well as the number of efficient integer assignments.

Keywords: Multiobjective optimization; Mixed-integer optimization; Test instances; Nonconvex optimization; 90C11; 90C26; 90C29; 90C30 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00186-023-00826-z

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