A hybrid exact algorithm for complete set partitioning
نویسندگان
چکیده
منابع مشابه
A hybrid exact algorithm for complete set partitioning
In the Complete Set Partitioning problem we are given a finite set of elements where every subset is associated with avalue, and the goal is to partition this set into disjoint subsets so as to maximise the sum of subset values. This abstractproblem captures theCoalition Structure Generation problem in cooperative games in characteristic function form, whereeach subset, or coali...
متن کاملA Complete Anytime Algorithm for Number Partitioning
Given a set of numbers, the two-way partitioning problem is to divide them into two subsets, so that the sum of the numbers in each subset are as nearly equal as possible. The problem is NPcomplete, and is contained in many scheduling applications. Based on a polynomial-time heuristic due to Karmarkar and Karp, we present a new algorithm, called Complete Karmarkar Karp (CKK), that optimally sol...
متن کاملA Genetic Algorithm for the Set Partitioning
In this paper we present a genetic algorithm-based heuristic for solving the set partitioning problem. The set partitioning problem is an important combinatorial optimisation problem used by many airlines as a mathematical model for ight crew scheduling. We develop a steady-state genetic algorithm in conjunction with a specialised heuristic feasibility operator for solving the set partitioning ...
متن کاملAn exact algorithm for graph partitioning
An exact algorithm is presented for solving edge weighted graph partitioning problems. The algorithm is based on a branch and bound method applied to a continuous quadratic programming formulation of the problem. Lower bounds are obtained by decomposing the objective function into convex and concave parts and replacing the concave part by an affine underestimate. It is shown that the best affin...
متن کاملA Hybrid Exact Algorithm for the TSPTW
The Traveling Salesman Problem with Time Windows (TSPTW) is the problem of finding a minimum-cost path visiting a set of cities exactly once, where each city must be visited within a specific time window. We propose a hybrid approach for solving the TSPTW that merges Constraint Programming propagation algorithms for the feasibility viewpoint (find a path), and Operations Research techniques for...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Artificial Intelligence
سال: 2016
ISSN: 0004-3702
DOI: 10.1016/j.artint.2015.09.006