A Novel Local Search Algorithm for Knapsack Problem

被引:0
|
作者
Memariani, Mostafa [1 ]
Ghandeshtani, Kambiz Shojaee [2 ]
Madadi, Ahmad [3 ]
Neshati, Mohammad Mohsen [1 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Elect Engn, Mashhad, Iran
[2] Univ Tehran, Dept Elect Engn, Tehran, Iran
[3] Univ Amir Kabir, Dept Comp Engn, Tehran, Iran
关键词
Artificial intelligence; NP-hard; Knapsack problem; Combinational optimization;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Knapsack problem is an integer programming that is generally called "Multidimentional Knapsack". Knapsack problem is known as a NP-hard problem. This paper is an introduction to a new idea for solving one-dimentional knapsack that with defining the "Weight Value Index", "Sorting" and "Smart local search" forms a new algorithm. This algorithm is mathematically formulated and has run on 5 sample problems of one-dimentional knapsack, that in most of them the result is close to the optimum. The results show that this method by comparison with the others recently published in this field, despite of its simplicity, has enough required functionality in order to get the result on the tested items.
引用
收藏
页码:77 / 80
页数:4
相关论文
共 50 条
  • [1] Ant Algorithm with Local Search Procedure for Multiple Knapsack Problem
    Fidanova, Stefka
    Atanassov, Krassimir
    [J]. LARGE-SCALE SCIENTIFIC COMPUTATIONS, LSSC 2023, 2024, 13952 : 246 - 252
  • [2] BRANCH SEARCH ALGORITHM FOR KNAPSACK PROBLEM
    GREENBERG, H
    HEGERICH, RL
    [J]. MANAGEMENT SCIENCE SERIES A-THEORY, 1970, 16 (05): : 327 - 332
  • [3] A Hybrid Ant Colony Algorithm with a Local Search for the Strongly Correlated Knapsack Problem
    Zouari, Wiem
    Alaya, Ines
    Tagina, Moncef
    [J]. 2017 IEEE/ACS 14TH INTERNATIONAL CONFERENCE ON COMPUTER SYSTEMS AND APPLICATIONS (AICCSA), 2017, : 527 - 533
  • [4] A reactive local search-based algorithm for the disjunctively constrained knapsack problem
    Hifi, M.
    Michrafy, M.
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2006, 57 (06) : 718 - 726
  • [5] A flipping local search genetic algorithm for the multidimensional 0-1 knapsack problem
    Alonso, Cesar L.
    Caro, Fernando
    Montana, Jose Luis
    [J]. CURRENT TOPICS IN ARTIFICIAL INTELLIGENCE, 2006, 4177 : 21 - 30
  • [6] Solving 0-1 knapsack problem by a novel global harmony search algorithm
    Zou, Dexuan
    Gao, Liqun
    Li, Steven
    Wu, Jianhua
    [J]. APPLIED SOFT COMPUTING, 2011, 11 (02) : 1556 - 1564
  • [7] A multi-start iterated local search algorithm for the generalized quadratic multiple knapsack problem
    Avci, Mustafa
    Topaloglu, Seyda
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2017, 83 : 54 - 65
  • [8] An Improved Iterated Local Search Algorithm for Invest strongly correlated 0/1 Knapsack Problem
    Luo, Xiaohu
    Lv, Qiang
    Qian, Peide
    [J]. 2009 INTERNATIONAL FORUM ON COMPUTER SCIENCE-TECHNOLOGY AND APPLICATIONS, VOL 2, PROCEEDINGS, 2009, : 167 - 171
  • [9] A novel resampling algorithm based on the knapsack problem
    Bacak, Ahmet
    Hocaoglu, Ali Koksal
    [J]. SIGNAL PROCESSING, 2020, 170
  • [10] A Binary Machine Learning Cuckoo Search Algorithm Improved by a Local Search Operator for the Set-Union Knapsack Problem
    Garcia, Jose
    Lemus-Romani, Jose
    Altimiras, Francisco
    Crawford, Broderick
    Soto, Ricardo
    Becerra-Rozas, Marcelo
    Moraga, Paola
    Paz Becerra, Alex
    Pena Fritz, Alvaro
    Rubio, Jose-Miguel
    Astorga, Gino
    [J]. MATHEMATICS, 2021, 9 (20)