Hybridizing the cross-entropy method: An application to the max-cut problem
نویسندگان
چکیده
Cross entropy has been recently proposed as a heuristic method for solving combinatorial optimization problems. We briefly review this methodology and then suggest a hybrid version with the goal of improving its performance. In the context of the well-known max-cut problem, we compare an implementation of the original cross entropy method with our proposed version. The suggested changes are not particular to the max-cut problem and could be considered for future applications to other combinatorial optimization problems.
منابع مشابه
The Accelerated Cross Entropy Method: An Application to the Max-Cut Problem
Cross entropy has recently been proposed as a heuristic method for solving combinatorial optimization problems. We briefly review this methodology and then suggest modifications and extensions with the goal of improving its performance. In the context of the well-known max-cut problem, we compare an implementation of the original cross entropy method with our proposed accelerated version. The s...
متن کاملModeling of the Maximum Entropy Problem as an Optimal Control Problem and its Application to Pdf Estimation of Electricity Price
In this paper, the continuous optimal control theory is used to model and solve the maximum entropy problem for a continuous random variable. The maximum entropy principle provides a method to obtain least-biased probability density function (Pdf) estimation. In this paper, to find a closed form solution for the maximum entropy problem with any number of moment constraints, the entropy is consi...
متن کاملLogical s-t Min-Cut Problem: An Extension to the Classic s-t Min-Cut Problem
Let $G$ be a weighted digraph, $s$ and $t$ be two vertices of $G$, and $t$ is reachable from $s$. The logical $s$-$t$ min-cut (LSTMC) problem states how $t$ can be made unreachable from $s$ by removal of some edges of $G$ where (a) the sum of weights of the removed edges is minimum and (b) all outgoing edges of any vertex of $G$ cannot be removed together. If we ignore the second constraint, ca...
متن کاملSolving Large MAX CUT Problems Using Cross Entropy & Parametric Minimum Cross Entropy
Two stochastic optimization methods: Cross Entropy (CE) and Parametric Minimum Cross Entropy (PME) were tested against Large Max-Cut problems. The problems were taken from the "The DIMACS Library of Mixed Semidefinite-Quadratic-Linear Programs" challenge web site. The two methods achieved close and even better results than the Best Known Solution. In addition to results presentation, several im...
متن کاملA new approach factor- entropy with application to business costs of SMEs in Shanghai
Business cost is acknowledged as one of the priorities in SMEs research. In thisstudy, the business cost of SMEs in Shanghai was primarily measured using Factor-Entropy analysis method. The purpose of this study is to effectively resolve the issueof simplification and assignment evaluation index system on business costs of SMEsin Shanghai. However, this study uses factor analysis to interpret t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Computers & OR
دوره 36 شماره
صفحات -
تاریخ انتشار 2009