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Title: :  Literature review on comparing between different approaches to solve the 0-1 knapsack problem
PaperId: :  6778
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 3 Issue 5 2017
DUI:    16.0415/IJARIIE-6778
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Bhumi K. JoshiL.D COLLEGE OF ENGINEERING

Abstract

Information Technology
KNAPSACK, GREEDY ALGORITHM, DYNAMIC ALGORITHM
The purpose of this paper is to analyze several algorithm design paradigms applied to a single problem - the 0/1 Knapsack Problem. The Knapsack problem is a combinatorial optimization problem where one has to maximize the bene fit of objects in a knapsack without exceeding its capacity. It is an NP-complete problem and as such an exact solution for a large input is practically impossible to obtain. The main goal of the paper is to present a comparative study of the brute force, dynamic programming,and greedy algorithms. The paper discusses the complexity of each algorithm in terms of time requirements, and in terms of required programming efforts. Our experimental results show that the most promising approaches are dynamic programming.

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IJARIIE Bhumi K. Joshi. "Literature review on comparing between different approaches to solve the 0-1 knapsack problem" International Journal Of Advance Research And Innovative Ideas In Education Volume 3 Issue 5 2017 Page 1360-1364
MLA Bhumi K. Joshi. "Literature review on comparing between different approaches to solve the 0-1 knapsack problem." International Journal Of Advance Research And Innovative Ideas In Education 3.5(2017) : 1360-1364.
APA Bhumi K. Joshi. (2017). Literature review on comparing between different approaches to solve the 0-1 knapsack problem. International Journal Of Advance Research And Innovative Ideas In Education, 3(5), 1360-1364.
Chicago Bhumi K. Joshi. "Literature review on comparing between different approaches to solve the 0-1 knapsack problem." International Journal Of Advance Research And Innovative Ideas In Education 3, no. 5 (2017) : 1360-1364.
Oxford Bhumi K. Joshi. 'Literature review on comparing between different approaches to solve the 0-1 knapsack problem', International Journal Of Advance Research And Innovative Ideas In Education, vol. 3, no. 5, 2017, p. 1360-1364. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/Literature_review_on_comparing_between_different_approaches_to_solve_the_0_1_knapsack_problem_ijariie6778.pdf (Accessed : 19 September 2020).
Harvard Bhumi K. Joshi. (2017) 'Literature review on comparing between different approaches to solve the 0-1 knapsack problem', International Journal Of Advance Research And Innovative Ideas In Education, 3(5), pp. 1360-1364IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/Literature_review_on_comparing_between_different_approaches_to_solve_the_0_1_knapsack_problem_ijariie6778.pdf (Accessed : 19 September 2020)
IEEE Bhumi K. Joshi, "Literature review on comparing between different approaches to solve the 0-1 knapsack problem," International Journal Of Advance Research And Innovative Ideas In Education, vol. 3, no. 5, pp. 1360-1364, Sep-Oct 2017. [Online]. Available: http://ijariie.com/AdminUploadPdf/Literature_review_on_comparing_between_different_approaches_to_solve_the_0_1_knapsack_problem_ijariie6778.pdf [Accessed : 19 September 2020].
Turabian Bhumi K. Joshi. "Literature review on comparing between different approaches to solve the 0-1 knapsack problem." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 3 number 5 (19 September 2020).
Vancouver Bhumi K. Joshi. Literature review on comparing between different approaches to solve the 0-1 knapsack problem. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2017 [Cited : 19 September 2020]; 3(5) : 1360-1364. Available from: http://ijariie.com/AdminUploadPdf/Literature_review_on_comparing_between_different_approaches_to_solve_the_0_1_knapsack_problem_ijariie6778.pdf
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