International Journal of Computer Science & Network Security

International Journal of Computer Science & Network Security (국제컴퓨터통신보호논문지학회)
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Exploring Efficient Solutions for the 0/1 Knapsack Problem

  • Dalal M. Althawadi (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Sara Aldossary (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Aryam Alnemari (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Malak Alghamdi (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Fatema Alqahtani (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Atta-ur Rahman (Department of Computer Science, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Aghiad Bakry (Department of Computer Science, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University) ;
  • Sghaier Chabani (Department of Networks and Communication, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University)
  • Received : 2024.02.05
  • Published : 2024.02.29
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Abstract

One of the most significant issues in combinatorial optimization is the classical NP-complete conundrum known as the 0/1 Knapsack Problem. This study delves deeply into the investigation of practical solutions, emphasizing two classic algorithmic paradigms, brute force, and dynamic programming, along with the metaheuristic and nature-inspired family algorithm known as the Genetic Algorithm (GA). The research begins with a thorough analysis of the dynamic programming technique, utilizing its ability to handle overlapping subproblems and an ideal substructure. We evaluate the benefits of dynamic programming in the context of the 0/1 Knapsack Problem by carefully dissecting its nuances in contrast to GA. Simultaneously, the study examines the brute force algorithm, a simple yet comprehensive method compared to Branch & Bound. This strategy entails investigating every potential combination, offering a starting point for comparison with more advanced techniques. The paper explores the computational complexity of the brute force approach, highlighting its limitations and usefulness in resolving the 0/1 Knapsack Problem in contrast to the set above of algorithms.

Keywords

References

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