The Subset Sum Problem is a member of the NP-complete class, so no known polynomial time algorithm exists for it. Although there are polynomial time approximations and heuristics, these are not always acceptable, yet exact-solution algorithms are unfeasible for large input. Quantum computation ...
1. 从选项库中迭代选择某选项; 2. 递归该问题的小规模形式; 3. 若问题解决,则返回 真值; 4. 若无法解决,则放弃该选项(回溯),迭代尝试下一个选项; 5. 直至尝试完所有选项,若无法解决,则返回 假值. C++ 例子:判断是否所有病人都能预约到医生 #include <iostream> #include "hashmap.h" #include "hashs...
A fast approximation algorithm for the subset-sum problem - Gens, Levner - 1994G. Gens and E. Levner. A fast approximation algorithm for the subset-sum problem INFOR, 32, pages 143-148, 1994.G.V. Gens, E.V. Levner, A fast approximation algorithm for the subset-sum problem, INFOR ...
The subset sum problem (SSP) is defined as: "Given n positive integers w 1,…, w n, find a combination amongst them such that their sum is the closest to, but not exceeding, a positive integer c". We suggest an exact algorithm by introducing a new type of Core Problem and also, ...
In this paper, we study priority algorithm approximation ratios for the Subset-Sum Problem, focusing on the power of revocable decisions, for which the accepted data items can be later rejected to maintain the feasibility of the solution. We first provide a tight bound of α≈0.657 for ...
Recently, hybrid CPU/GPU cluster has been widely used to deal with compute-intensive problems, such as the subset-sum problem. The two-list algorithm is a ... L Kang,L Wan,K Li - Sixth International Symposium on Parallel Architectures 被引量: 15发表: 2014年 ...
A team of researchers affiliated with several institutions in China created a photonic computer that was able to solve the subset sum problem. In their paper published in the journal Science Advances, the group describes their computer and how well it pe
We obtained an exact upper bound for the complexity of solving subset sum problem with the special kind of branch and bound algorithm. Complexity is defined as the number of steps of the algorithm. The dominance relation and cardinality bound is used to reduce the number of iterations. We cons...
The problem we address in this paper is indeed a multi-deciders version of the well known Subset Sum problem where two agents compete for the capacity of a common knapsack in presence of a very simple mechanism (round robin). However, we adopt a different perspective here, namely we look ...
Under the stochastic model: a 1 , ..., a n , b independent, a 1 ...,a n uniformly distributed on [0, 1], b uniformly distributed on [0, n ] we derive the gap-distributions and the expected size of the gaps.The analyzed algorithms include four algorithms which can be done in ...