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Stochastic Heuristics for Knapsack Problems

  • Miloš Šeda
  • Pavel Šeda
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 837)

Abstract

In this paper, we introduce knapsack problem formulations, discuss their time complexity and propose their representation and solution based on the instance size. First, deterministic methods are briefly summarized. They can be applied to small-size tasks with a single constraint. However, because of NP-completeness of the problem, more complex problem instances must be solved by means of heuristic techniques to achieve an approximation of the exact solution in a reasonable amount of time. The problem representations and parameter settings for a genetic algorithm and simulated annealing frameworks are shown.

Keywords

Knapsack problem Dynamic programming Branch and bound method Heuristic Genetic algorithm Simulated annealing 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringBrno University of TechnologyBrnoCzech Republic
  2. 2.IBM Global Services Delivery CenterBrnoCzech Republic

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