International Journal of Quantitative Research and Modeling
Vol. 6 No. 3 (2025): International Journal of Quantitative Research and Modeling (IJQRM)

Implementation of Dynamic Programming Algorithm on The Integer Knapsack Problem (0/1) (Case Study: J&T Cargo Agent Purwokerto)

Puspitasari, Leni (Unknown)
Sugandha, Agus (Unknown)
Nurshiami, Siti Rahmah (Unknown)



Article Info

Publish Date
17 Sep 2025

Abstract

The pu IDR ose of this research is to solve the 0/1 integer knapsack problem, which is a problem of selecting items from a number of available items where each item has different weights and profits. The delivery of items at J&T Cargo Purwokerto is one of many item selection problems. The delivery of items at J&T Cargo Purwokerto is carried out progressively with higher profit values ​​first, due to the delivery capacity being able to accommodate only 700 kg. In order for J&T Cargo Purwokerto to obtain maximum profit, item selection for delivery must be carried out first. The item selection at J&T Cargo Purwokerto can be solved using the 0/1 integer knapsack problem method with a forward recursive dynamic programming algorithm with the help of Matlab R2021A software. The results of the research indicate that on July 1, 2025, a maximum profit of IDR 3,038,850 was achieved with a weight of 700 kg. On 2nd July 2025, a maximum profit of IDR 4,884,985 was achieved with a weight of 700 kg. On 3rd July 2025, a maximum profit of IDR 7,732,155 was achieved with a weight of 699 kg.

Copyrights © 2025






Journal Info

Abbrev

ijqrm

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Engineering Environmental Science Physics

Description

International Journal of Quantitative Research and Modeling (IJQRM) is published 4 times a year and is the flagship journal of the Research Collaboration Community (RCC). It is the aim of IJQRM to present papers which cover the theory, practice, history or methodology of Quatitative Research (QR) ...