El Baz, M. Elkihel, A dynamic programming method with lists for the knapsack sharing problem, Comput. Ind. Eng. 61 (2) (2011) 274-278.Boyer V, El Baz D, Elkihel M. A dynamic programming method with lists for the knapsack sharing problem. Computers & Industrial Engineering, in press,...
brute_force_method(items, capacity) 3. 动态规划法(Dynamic programming):动态规划是一种通过构建中间状态来解决问题的方法。在分数背包问题中,我们可以使用动态规划来构建一个二维数组,其中每个元素表示从当前位置开始,选择某个物品放入背包的最大价值。在0-1背包问题中,我们可以使用动态规划来构建一个一维数组,其中...
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 ...
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 ...
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 ...
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
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...
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 ...
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 ...