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Computing the crosscap number of a knot using integer programming and normal surfaces
integer programming normal surfaces crosscap number of a knot Geometric Topology
2011/9/5
Abstract: The crosscap number of a knot is an invariant describing the non-orientable surface of smallest genus that the knot bounds. Unlike knot genus (its orientable counterpart), crosscap numbers a...
Optimising a nonlinear utility function in multi-objective integer programming
nonlinear utility function multi-objective integer programming
2010/11/15
In this paper we develop an algorithm to optimise a nonlinear utility function of multiple objectives over the integer nondominated set. Our approach is based on identifying and updating bounds on th...
A DNA computing model to solve 0-1 integer programming problem
DNA computing fluorescence material
2010/9/14
The topic of binary optimization in integer linear programming is an intensive research area in the field of DNA computing. In this paper, a new DNA computation model utilizing solution-based methods ...
The Filled Function Method is a class of effective algorithms for
continuous global optimization. In this paper, a new filled
function method is introduced and used to solve integer
programming. Fi...
Exact Penalty Function and Asymptotic Strong Nonlinear Duality in Integer Programming
Integer programming exact penalty function asymptotic strong duality
2007/12/11
In this paper, a logarithmic-exponential penaltyfunction with two parameters for integer programming is discussed. We obtain the exact penalty properties and then establish the asymptotic strong nonl...
期刊信息
篇名
An Approximate Algorithm for a Class of Nonlinear Bilevel Integer Programming
语种
英文
撰写或编译
撰写
作者
李磊,滕春贤
第一作者单位
哈尔滨理工大学
刊物名称
J. Systems Science and Systems Engineering
页面
出版日期
2002年
11月
日
文章标识(I...