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Linear and Integer Programming
2016Integer Programming (IP) is a modelling tool that has been widely applied in the last decades to obtain solutions for complex real problems, as those that arise in cutting and packing, location, routing and many other areas.
Cláudio Alves +3 more
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Nonlinear and Mixed Integer Linear Programming
2012In this chapter we compare continuous nonlinear optimization with mixed integer optimization of water supply networks by means of a meso scaled network instance. We introduce a heuristic approach, which handles discrete decisions arising in water supply network optimization through penalization using nonlinear programming.
Kolb, Oliver +3 more
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Watermarking integer linear programming solutions
Proceedings of the 39th conference on Design automation - DAC '02, 2002Linear programming (LP) in its many forms has proven to be an indispensable tool for expressing and solving optimization problems in numerous domains. We propose the first set of generic watermarking techniques for integer-LP (ILP). The proof of authorship by watermarking is achieved by introducing additional constraints to limit the solution space and
S. Megerian, M. Drinic, M. Potkonjak
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Multiobjective Integer and Mixed-Integer Linear Programming
2016The introduction of discrete variables into multiobjective programming problems leads to all-integer or mixed-integer problems that are more difficult to tackle, even if they have linear objective functions and constraints. The feasible set is no longer convex, and the additional difficulties go beyond those of changing from single objective linear ...
Carlos Henggeler Antunes +2 more
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Integer Linear Programming (ILP)
2013The feasible region of the LP model is continuous in the sense that each variable is restricted to over a continuous interval. If variables are further restricted to integer values, it becomes an ILP model. As its feasible region consists of discrete points, ILP model differs from LP model essentially.
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Improved Linear Integer Programming Formulations of Nonlinear Integer Problems
Management Science, 1975A variety of combinatorial problems (e.g., in capital budgeting, scheduling, allocation) can be expressed as a linear integer programming problem. However, the standard devices for doing this often produce an inordinate number of variables and constraints, putting the problem beyond the practical reach of available integer programming methods.
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Linear and Integer Linear Programming.
Journal of the Operational Research Society, 1975A. Ibrahim, Stanley Zionts
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Integer topological defects organize stresses driving tissue morphogenesis
Nature Materials, 2022Pau Guillamat +2 more
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