Solving the multi-dimensional multi-choice Knapsack problem with the help of ants

  • Authors:

  • Shahrear Iqbal;Md. Faizul Bari;M. Sohel Rahman

  • Affiliations:

  • AlEDA Groups, Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;AlEDA Groups, Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;AlEDA Groups, Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

  • Venue:
  • ANTS'10 Proceedings of the 7th international conference on Swarm intelligence
  • Year:
  • 2010

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Abstract

In this paper, we have proposed two novel algorithms based on Ant Colony Optimization (ACO) for finding near-optimal solutions for the Multi-dimensional Multi-choice Knapsack Problem (MMKP). MMKP is a discrete optimization problem, which is a variant of the classical 0-1 Knapsack Problem and is also an NP-hard problem. Due to its high computational complexity, exact solutions of MMKP are not suitable for most real-time decision-making applications e.g. QoS and Admission Control for Adaptive Multimedia Systems, Service Level Agreement (SLA) etc. Although ACO algorithms are known to have scalability and slow convergence issues, here we have augmented the traditional ACO algorithm with a unique random local search, which not only produces near-optimal solutions but also greatly enhances convergence speed. A comparative analysis with other state-of-the-art heuristic algorithms based on public MMKP dataset shows that, in all cases our approaches outperform others. We have also shown that our algorithms find near optimal (within 3% of the optimal value) solutions within milliseconds, which makes our approach very attractive for large scale real time systems.