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Integer and Mixed Integer Linear Fractional Programming
1997Some of the problems mentioned in Chapter 1 required that either part of the variables, or all of them take integer values. This chapter will study such problems. In particular, we will address the bivalent programming in which part of the variables or all of them can take only values 0 or 1 (Section 9.1).
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Linear, Integer, and Mixed Integer Programming
2021William P. Fox, Robert E. Burks
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Linear Programming Tools for Integer Programming
1989Abstract : The motivation for this work has been the need for a practical procedure to solve the maximum-weight cut problem (MCP) in undirected graphs. Our primary focus has been on problems arising from considerations in statistical mechanics. These problems are typically posed on grid graphs and some natural variants.
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From Mixed-Integer Linear to Mixed-Integer Bilevel Linear Programming
2017Bilevel Optimization is a very challenging framework where two players (with different objectives) compete for the definition of the final solution. In this paper we address a generic mixed-integer bilevel linear program, i.e., a bilevel optimization problem where the objective functions and constraints are all linear, and some variables are required ...
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Exact linear and integer programming
Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, 2013This tutorial surveys state-of-the-art algorithms and computational methods for computing exact solutions to linear and mixed-integer programming problems.
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Symmetry in Integer Linear Programming
2009An 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).
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