We propose a new class of knapsack problems by assiuning that the sizes of the items to be put into a knapsack are known to be elements 0f a given subset S of tdoi:10.1016/0167-9236(94)90075-2D. KrassS.P. SethiG. Sorger
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...
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 ...
Applegate, D.L., Bixby, R.E., Chvátal, V., Cook, W.J.: The Traveling Salesman Problem: A Computational Study. Princeton University Press, Princeton (2011) MATH Google Scholar Balas, E.: Facets of the knapsack polytope. Math. Program. 8(1), 146–164 (1975) MathSciNet MATH Google...
We study computational complexity theory and define a class of optimization problems called OptP (Optimization Polynomial Time), and we show that TRAVELLING SALESPERSON, KNAPSACK and 0-1 INTEGER LINEAR PROGRAMMING are complete for OptP. OptP is a natural generalization of NP (Nondeterministic Polynomial...
Therefore, the choice of solution method is closely connected to the complexity class of the problem. Even one-stage problems have been shown to be in higher complexity classes. The min–max regret knapsack problem with interval uncertainty was shown to be Σ2p-complete [17], which also leads...
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 ...
Sensitivity analysis of the knapsack problem: a negative result We consider the Blair hypothesis on the computational complexity of the problem connected with optimal solutions to the so-called adjacent knapsack problem... VA Mikhailyuk,NV Lishchuk - 《Cybernetics & Systems Analysis》 被引量: 3发表...
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...