Uncapacitated flow-based extended formulations
نویسندگان
چکیده
منابع مشابه
Uncapacitated Flow-based Extended Formulations
An extended formulation of a polytope is a linear description of this polytope using extra variables besides the variables in which the polytope is defined. The interest of extended formulations is due to the fact that many interesting polytopes have extended formulations with a lot fewer inequalities than any linear description in the original space. This motivates the development of methods f...
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Large-sized extended formulations have the potential for providing high-quality bounds on some combinatorial optimization problems where the natural formulations perform poorly. This chapter discusses the use of some families of cuts that have been recently applied on extended formulations that are obtained by the discretization of the continuous variables occurring in the natural formulation o...
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Mixed integer programming (MIP) formulations are typically tightened through the use of a separation algorithm and the addition of violated cuts. Using extended formulations involving new variables is a possible alternative, but this often results in prohibitively large MIPs where even the linear programming relaxations are hard or impossible to solve. In this paper, we demonstrate how, in cert...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2015
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-015-0862-9