Because the value and size of items and the size of knapsack can change along with the time, it causes that solving this problem is more difficult. We proposed an efficient algorithm for solving RTVKP with dynamic size of knapsack based on dynamic programming method, and analyzed the ...
Bi-objective fuzzy knapsack problemTriangular fuzzy numberDynamic programmingPossibility indexCompromise ratio methodSummary: This paper considers bi-objective knapsack problem with fuzzy weights, says bi-objective fuzzy knapsack problem (BOFKP). Here we introduce an index which gives the possibility of ...
s). Different types of Knapsack Problems occur, depending on the distribution of the items and knapsacks: In the 0-1Knapsack Problem each item may be chosen at most once, while in the Bounded Knapsack Problem we have a bounded amount of each item type. The Multiple-choice Knapsack Problem ...
A parallel implementation via CUDA of the dynamic programming method for the knapsack problem on NVIDIA GPU is presented. A GTX 260 card with 192 cores (1.4 GHz) is used for computational tests and processing times obtained with the parallel code are compared to the sequential one on a CPU ...
In this paper we present an efficient parallelization of the dynamic programming applied to bi-knapsack problem, in distributed memory machines(MMD). Our approach develops the tiling technique in order to control the grain parallelism and find the optima
An and Fu proposed a method called sequential combination tree algorithm to solve the test problem 3 in [9]. The optimal solution by this method is x∗ = (1, 1, 0, 1), and f(x∗) = 35. This method can easily find the required solutions of 0–1 knapsack problems with small ...
0-1-knapsack-problem-master (246)c.zipEn**x_ 上传54KB 文件格式 zip 0-1 背包问题(0-1 Knapsack Problem)是计算机科学中的一个经典优化问题,尤其在算法设计和组合优化领域有着广泛的应用。它涉及到如何在给定容量限制的情况下,从一组物品中选择一部分,使得这些物品的总价值最大。0-1 背包问题得名于其...
However, this chapter will cover 0-1 Knapsack problem using dynamic programming approach and its analysis.Unlike in fractional knapsack, the items are always stored fully without using the fractional part of them. Its either the item is added to the knapsack or not. That is why, this method ...
Life presents us with problems of varying complexity. Yet, complexity is not accounted for in theories of human decision-making. Here we study instances of the knapsack problem, a discrete optimisation problem commonly encountered at all levels of cognit
Knapsack problem Robust optimization Dynamic programming 1. Introduction The classical Knapsack Problem (KP) can be described as follows. We are given a set N={1,…,n} of items, each of them with positive profit pj and positive weight wj, and a knapsack capacity c. The problem asks for ...