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Journal : Pattimura International Journal of Mathematics (PIJMath)

Application of Sequential Linear Goal Programming Method and Modified Simplex Method for Production Planning Optimization Djaelani, Eka Desi Kirana; Ilwaru, Venn Yan Ishak; Lesnussa, Yopi Andry
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp01-08

Abstract

Production planning is an important thing in company management. Every company aims to seek maximum profit in its business activities, so it must be able to utilize its resources as optimally as possible. This study was conducted to determine whether or not any production planning that has been implemented at Istana Roti Hilyah Bakery is optimal. This research aimed to maximize revenue and profit, minimize production costs and raw material usage and optimize production quantities using the sequential linear goal programming method and the simplex modification method with the assistance of LINGO software. Based on the study's results, the revenue increased by IDR 60,000, and the profit increased by IDR 66,679. The minimization value of production costs decreased by IDR 6,679, with the production amount of White Bread as many as 60 pcs, Almond Crumble Bread as many as 45 pcs, Chocolate Crumble Bread as many as 50 pcs, Wheat Bran Bread as many as 55 pcs, Sweet Comb Bread as many as 82 pcs and Jam Comb Bread as many as 84 pcs.
Application of the Weighted Product Method in Determining the Selection of Exemplary Students at Public Junior High School 67 Central Maluku Berhitu, Yulyana; Rahakbauw, Dorteus L.; Ilwaru, Venn Yan Ishak
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp23-30

Abstract

To consider student learning outcomes each semester, the school usually selects exemplary students each year. It is done so that the enthusiasm for learning continues to increase. It is hoped that the selection of exemplary students can be a benchmark for students so that they continue to develop and deepen the knowledge they are learning. Some of the problems that occur in every school, especially at Public Junior High School 67 Central Maluku, in determining exemplary students are less effective and still require a lot of time to process and know the results of determining exemplary students. Based on the analysis that had been done, researchers used the Weighted Product method in processing data to produce exemplary students, which aimed to reduce the occurrence of errors in determining exemplary students and made it easier for schools to determine exemplary students. The Weighted Product method is one of the methods used to solve decision-making systems by considering criteria and weights. From the results of calculations using the Weighted Product method and manual calculations, it was found that Yunita D Firnanda was ranked first with the results of calculations using the Weighted Product method of 0.0149912 and manual calculations of 964, for the second rank using the Weighted Product method of 0.014292153 and manual calculations of 957 on behalf of Jordi Parinussa and the third rank on behalf of Sri Meilans Kinyari with the results of calculations using the Weighted Product method of 0.014146707 and manual calculations of 946.
Optimization of Flat Construction Implementation Time Using Critical Path Method and Project Evaluation and Review Technique Tuanaya, Adis Harni; Ilwaru, Venn Yan Ishak; Lesnussa, Yopi Andry
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp39-50

Abstract

This research aims to develop a system that effectively solves construction project management problems using PERT (Project Evaluation and Review Technique) and CPM (Critical Path Method) methods for the ASN flat construction project in Piru City, Maluku Province, Indonesia. In this study, the project activity data was analyzed using the PERT Method, which includes realistic, optimistic, and pessimistic durations; then, it is used to calculate the estimated time of each activity. Meanwhile, CPM was used to determine the critical path of the project. The results showed that project management can be done more accurately and efficiently with these two methods, minimizing the risk of delays. The optimal duration of the project obtained is 49 weeks with a probability value of 98.87% with the critical path obtained, namely A-B-E-F-G-J-K-L-M.