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• W270651842 abstract "Many mixed-integer constraint satisfaction problems and global optimization problems contain some variables with unbounded domains. Their solution by branch and bound methods to global optimality poses special challenges as the search region is infinitely extended. Many usually strong bounding methods lose their efficiency or fail altogether when infinite domains are involved. Most implemented branch and bound solvers add artificial bounds to make the problem bounded, or require the user to add these. However, if these bounds are too small, they may exclude a solution, while when they are too large, the search in the resulting huge but bounded region may be very inefficient. Moreover, if the global solver must provide a rigorous guarantee (as for the use in computer-assisted proofs), such artificial bounds are not permitted without justification by proof." @default.
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• W270651842 date "2013-01-01" @default.
• W270651842 modified "2023-10-06" @default.
• W270651842 title "On Solving Mixed-Integer Constraint Satisfaction Problems with Unbounded Variables" @default.
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• W270651842 doi "https://doi.org/10.1007/978-3-642-38171-3_15" @default.
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