Greedy solution method for knapsack problems with RBurcu Durmuznur i GüneriNevin Güler DincerAkiNik Publications
That is why, this method is known as the 0-1 Knapsack problem.Hence, in case of 0-1 Knapsack, the value of xi can be either 0 or 1, where other constraints remain the same.0-1 Knapsack cannot be solved by Greedy approach. Greedy approach does not ensure an optimal solution in this...
The multiple knapsack problem with grouped items aims to maximize rewards by assigning groups of items among multiple knapsacks, without exceeding knapsack capacities. Either all items in a group are assigned or none at all. We study the bi-criteria variation of the problem, where capacities can ...
(1,k)-configuration facets for the generalized assignment problem.Mathematical Programming,46, 53–60. Google Scholar Gottlieb, E. S., & Rao, M. R. (1990b). The generalized assignment problem: Valid inequalities and facets.Mathematical Programming,46, 31–52. Google Scholar Goycoolea, M. (20...
Examples of stochastic population-based methods to solve the 0–1 QKP are as follows: Glover and Kochenberger [12] reformulated the 0–1 QKP to unconstrained binary quadratic problem and solved using Tabu search. In [13], a hybridization of the genetic algorithm with greedy heuristic based on...
COMPARATIVE ANALYSIS OF THE GREEDY METHOD AND DYNAMIC PROGRAMMING IN SOLVING THE KNAPSACK PROBLEMIn this work, two of the existing algorithms for solving the Knapsack are investigated and implemented using the same programming language. The complexity of the programs and hence the algorithms were ...
Greedy AlgorithmThe 0-1 knapsack problem is typical problem in computer science and its solution is a hot spot in algorithms design and verification. Because it is very hard to solve, it is very important in the research on cryptosystem and number theory. In this paper, the 0-1 knapsack ...
Developing a new methodMohamed FriAmal BoukiliFouad BelmajdoubMohammed El Hammoumi
The method to process node j that exploits the multi-follower formulation for the robust counterpart of the lower-level problem is formally stated in Algorithm 2. In contrast to the approach using the extended formulation, in which a single cut is added at each node of the branch-and-cut se...