The knapsack problem can be solved in O(2 n/2 ) steps by a method called the basic algorithm (or two list algorithm). In this paper, (i) it is shown that for some restricted class of inputs a modification of the
Recent studies of human participants have shown that computational difficulty impacts performance, and that the knapsack problem is a generally useful framework to define and study complex decision making4,5. Here we devised an NHP ‘knapsack task’, based on the eponymous problem21, with the goal...
In this article, the concept of conditioning in integer programming is extended to the concept of a complexity index. A complexity index is a measure through which the execution time of an exact algorithm can be predicted. We consider the multidimensional knapsack problem with instances taken from...
Böckenhauer, H.-J., Komm, D., Královič, R., Rossmanith, P.: On the advice complexity of the knapsack problem. In: Fernández-Baca, D. (ed.) LATIN 2012. LNCS, vol. 7256, pp. 61–72. Springer, Heidelberg (2012) Chapter Google Scholar Böckenhauer, H.-J., Komm, D....
A single wrong decision during the online computation may increase the cost of the computed solution by a factor linear in the input size. This is also true, e. g., for the vertex cover problem [34] or the knapsack problem [10], but is not the case with paging, graph coloring, or ...
Knapsack problem: You have a knapsack with a given size and several objects with various sizes and values. The problem is how to fill your knapsack with these objects so that you have a maximum total value. Hamiltonian Cycle: a cycle that contains all nodes of the graph. Proving ...
the difference between the knapsack problem and a sorting algorithm with N^2 complexity . The sorting algorithm, considering that the vector values have up to 32 bits, has an input size of 32n, but how is this different from the knapsack problem that has an input size of nLogW ?
7.1 KNAPSACK DP AIM:The aim of this code is to solve the 0/1 knapsack problem using dynamic programming and print the selected items that maximize the total value. DESCRIPTION: This code implements the dynamic programming approach to solve the 0/1 knapsack problem. It finds the maximum value...
We consider an integer stochastic knapsack problem (SKP) where the weight of each item is deterministic, but the vector of returns for the items is random ... DP Morton,RK Wood - Advances in Computational & Stochastic Optimization, Logic Programming, & Heuristic Search 被引量: 137发表: 1998...
* What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear ...