Developments in linear and integer programming

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Developments in linear and integer programming

In this review we describe recent developments in linear and integer (linear) programming. For over 50 years Operational Research practitioners have made use of linear optimisation models to aid decision making and over this period the size of problems that can be solved has increased dramatically, the time required to solve problems has decreased substantially and the flexibility of modelling ...

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Linear Programming and Integer Linear Programming

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Symmetry in Integer Linear Programming

An integer linear program (ILP) is symmetric if its variables can be permuted without changing the structure of the problem. Areas where symmetric ILPs arise range from applied settings (scheduling on identical machines), to combinatorics (code construction), and to statistics (statistical designs construction). Relatively small symmetric ILPs are extremely difficult to solve using branch-and-c...

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An integer linear programming approach for bilinear integer programming

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ژورنال

عنوان ژورنال: Journal of the Operational Research Society

سال: 2002

ISSN: 0160-5682,1476-9360

DOI: 10.1057/palgrave.jors.2601435