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MIXED INTEGER MINIMIZATION MODELS FOR PIECEWISE-LINEAR FUNCTIONS OF A SINGLE VARIABLE

机译：单变量分段线性函数的混合整数最小化模型

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摘要

In an earlier report the concept of a mixed integer minimization model (MIMM) was defined and the utility of MIMM's as well as the relationship of MIMM's to classes of piecewise-linear functions of n variables was described. This report establishes necessary and sufficient conditions for bounded-integer MIMM representability for piecewise-linear functions of a single real variable.

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作者
R. R. Merer;
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作者单位

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年度 1974
页码 1-23
总页数 23
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear programming; Algorithms; Optimization; Theorems; Mixed integer programming;

机译：线性规划;算法;优化;定理;混合整数规划;

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2. Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions [J] . Vielma JP, Ahmed S, Nemhauser G Operations Research: The Journal of the Operations Research Society of America . 2010,第2期

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3. On a class of mixed-integer sets with a single integer variable [J] . Di Summa M. Operations Research Letters: A Journal of the Operations Research Society of America . 2010,第6期

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5. Mixed convexity and optimization results for functions with integer and real variables with applications to queueing systems. [D] . Tokgoz, Emre. 2012

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6. A mixed integer linear programming model to reconstruct phylogenies from single nucleotide polymorphism haplotypes under the maximum parsimony criterion [O] . Daniele Catanzaro, Ramamoorthi Ravi, Russell Schwartz 2013

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7. Mixed integer minimization models for piecewise-linear functions of a single variable [O] . Meyer R.R. 1976

机译：单变量分段线性函数的混合整数最小化模型

MIXED INTEGER MINIMIZATION MODELS FOR PIECEWISE-LINEAR FUNCTIONS OF A SINGLE VARIABLE

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