Title
Algorithms for randomized time-varying knapsack problems
Abstract
In this paper, we first give the definition of randomized time-varying knapsack problems () and its mathematic model, and analyze the character about the various forms of . Next, we propose three algorithms for : (1) an exact algorithm with pseudo-polynomial time based on dynamic programming; (2) a 2-approximation algorithm for based on greedy algorithm; (3) a heuristic algorithm by using elitists model based on genetic algorithms. Finally, we advance an evaluation criterion for the algorithm which is used for solving dynamic combinational optimization problems, and analyze the virtue and shortage of three algorithms above by using the criterion. For the given three instances of , the simulation computation results coincide with the theory analysis.
Year
DOI
Venue
2016
10.1007/s10878-014-9717-1
Journal of Combinatorial Optimization
Keywords
Field
DocType
Knapsack problem,Exact algorithm,Approximations,Heuristics
Dynamic programming,Mathematical optimization,Combinatorics,Exact algorithm,Heuristic (computer science),Algorithm,Greedy algorithm,Knapsack problem,Optimization problem,Mathematics,Genetic algorithm,Computation
Journal
Volume
Issue
ISSN
31
1
1382-6905
Citations 
PageRank 
References 
8
0.45
22
Authors
6
Name
Order
Citations
PageRank
Yichao He1444.46
Xinlu Zhang2132.64
Wenbin Li329438.79
Xiang Li4498.76
Weili Wu52093170.29
Suogang Gao65912.78