cover
Contact Name
Diah Chaerani
Contact Email
info.jmi@unpad.ac.id
Phone
+6281394981591
Journal Mail Official
info.jmi@unpad.ac.id
Editorial Address
Department of Matematics, FMIPA, Universitas Padjadjaran, Jl. Raya Bandung-Sumedang KM. 21 Jatinangor
Location
Kota bandung,
Jawa barat
INDONESIA
Jurnal Matematika Integratif
ISSN : 14126184     EISSN : 25499033     DOI : http://doi.org/10.24198/jmi
Jurnal Matematika Integratif (JMI) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. JMI received a manuscript in areas of study mathematics widely, and math-based multidisciplinary studies derived from outside problems of mathematics. All published articles in Jurnal Matematika Integratif are freely accessible in that website.
Articles 212 Documents
Green Economy-Based Multi-Objective Optimization Model for Agricultural Supply Chain Network Design Using Lexicographic Method Febrian, Rizky; Chaerani, Diah; Nahar, Julita
Jurnal Matematika Integratif Vol 22, No 1: April 2026
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v22.n1.69577.119-132

Abstract

This Article presents a multi-objective optimization model for agricultural supply chain network design that incorporates green economy principles. The problem is formulated as a Many-to-Many Location Routing Problem (MMLRP) to address strategic decisions including Regional Food Hub site selection, commodity flow allocation between producers and hubs, distribution routing to consumer zones, and warehouse capacity planning. Two objective functions are solved hierarchically using the Lexicographic Method: maximizing demand fulfillment as the primary objective, followed by minimizing total costs comprising shipping, warehousing, and hub construction expenses. The model incorporates flow conservation constraints, capacity limits for producers and demand zones, and logical constraints linking distribution activities to hub establishment. Environmental considerations are integrated through carbon tax components and vehicle emission factors in transportation activities, enabling decision-makers to account for the environmental impact of logistics operations. Results demonstrate that the optimal network configuration identifies strategic hub locations and efficient distribution patterns characterized by short-distance delivery clusters that minimize carbon emissions, while maintaining cross-regional shipments from major production centers to satisfy demand requirements.
Alternative Proof of the Butterfly Theorem on a Hyperbola Teguh, M.; Mashadi, Mashadi
Jurnal Matematika Integratif Vol 22, No 1: April 2026
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v22.n1.70222.73-82

Abstract

The Butterfly Theorem originally applies to a circle. Several researchers have proven the Butterfly Theorem using various methods of proof. Furthermore, the theorem has been extended from its original application on circles to other conic sections, namely the parabola and the ellipse, also through different proof techniques. In addition, the development of the Butterfly Theorem can be applied to another conic section, the hyperbola, through an analytic approach. In this paper, the author proves the Butterfly Theorem on a hyperbola using Haruki’s Lemma. Haruki’s Lemma was originally established for circles. Therefore, the author develops Haruki’s Lemma specifically for the hyperbola, which is then used to prove the Butterfly Theorem on a hyperbola. Thus, a new proof of the Butterfly Theorem on a hyperbola can be established