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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Majalah Ilmiah Matematika dan Statistika (MIMS) Tensor: Pure and Applied Mathematics Journal MATHunesa: Jurnal Ilmiah Matematika Pattimura Proceeding : Conference of Science and Technology Sora Journal of Mathematics Education Parameter: Jurnal Matematika, Statistika dan Terapannya PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Novita Dahoklory
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Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation Other

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Penerapan Aljabar Max-Plus dalam Penentuan Rute Terpendek Distribusi Barang pada Jaringan J&T Express di Kota Ambon Elvira Salelatu; Mozart Winston Talakua; Novita Dahoklory; Henry Willyam Michel Patty
Tensor: Pure and Applied Mathematics Journal Vol 7 No 1 (2026): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol7iss1pp43-58

Abstract

Penentuan rute terpendek merupakan suatu solusi yang diperlukan bagi perusahaan yang bergerak di bidang distribusi barang, karena rute terpendek dapat membantu perusahaan mengoptimalkan jarak yang ditempuh dan mengefisienkan waktu yang dibutuhkan. Oleh karena itu, penelitian ini bertujuan untuk menerapkan aljabar max-plus untuk menentukan jalur terpendek distribusi barang di jalur Jet Lee & Tony Chen (J&T) Express di Kota Ambon. Hasil analisis menunjukkan bahwa pendekatan ini efektif dalam meminimalkan bobot lintasan, sehingga mendukung efisiensi pengiriman barang dan meningkatkan kepuasan pelanggan melalui ketepatan waktu distribusi. Namun, hasil pemetaan juga mengungkapkan bahwa sebaran titik distribusi J&T Express di Kota Ambon belum merata di seluruh wilayah kecamatan. Beberapa desa di Kecamatan Nusaniwe dan Leitimur Selatan tidak memiliki titik distribusi yang berada dalam kecamatan yang sama, sehingga proses distribusi ke wilayah tersebut dilakukan melalui simpul transit di kecamatan lain, seperti J&T DP Galala ( ), J&T Sirimau ( ), dan J&T Teluk Ambon ( ). Selain itu, terdapat desa-desa yang secara administratif berada dalam satu kecamatan, namun dilayani oleh titik distribusi yang berada di luar wilayah tersebut. Meskipun demikian, hasil penelitian membuktikan bahwa proses distribusi tetap dapat berjalan secara optimal dengan memanfaatkan simpul distribusi terdekat sebagai titik transit. Dengan demikian, efisiensi jalur pengiriman tetap dapat dicapai melalui perencanaan rute yang tepat menggunakan analisis aljabar max-plus.
Fungsi Trace dan Fungsi Norm Lapangan Perluasan Atas Q Novita Dahoklory; Henry Willyam Michel Patty
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp39-48

Abstract

Suppose L/K is an extension field where K⊆L so that L can be viewed as a vector space over K. Moreover, it is known that for every α∈L, we can construct a linear transformation T_α: L→L where T_α (x)=αx for all x∈L so that we have the representation matrix [T_α] of T_α. In this study, the trace and norm functions are discussed which are defined using the trace and determinant of the matrix [T_α]. Furthermore, this study will also discuss the application of the trace and norm functions in the field of an extension field especially Q(∛2) over Q.
Pemodelan Sistem Antrian Pelayanan BPJS (Badan Penyelenggara Jaminan Sosial) Menggunakan Petri Net dan Aljabar Max-Plus Yohana L. Simbolon; Francis Y. Rumlawang; Novita Dahoklory; Henry W. M. Patty; Pranaya D. M. Taihuttu; Abraham Z. Wattimena Wattimena
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss2pp75-86

Abstract

Hospitals are one of the health facilities that serve patients with various types of services, including BPJS patients. Like other hospitals, the queue system is a challenge in service management, especially in outpatient services. The imbalance between the number of patients coming and the service capacity can cause long waiting times. In this study, outpatient queue modeling was carried out at Leimena General Hospital, Ambon, using Petri Net to describe the service flow, and Max-Plus algebraic analysis was applied to estimate patient waiting times more accurately. The simulation results showed that increasing the number of resources, such as adding registration counters and doctors in the laboratory, was able to significantly reduce patient waiting times at various stages of service, especially in the pharmacy. This modeling shows that the Petri Net and Max-Plus approaches are not only effective in mapping the queue system, but can also be used as a basis for decision making in optimizing hospital services. This study is expected to be a reference for hospitals in improving service efficiency and for further researchers to develop more complex models by considering additional relevant variables.
KAJIAN DASAR RUANG METRIK P-ADIC Novita Dahoklory; Henry Willyam Michel Patty
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p517-523

Abstract

Diberikan himpunan semua bilangan rasional Q. Pada penelitian ini akan dijelaskan metrik p-adic untuk suatu bilangan prima p yang dikonstruksikan menggunakan nilai mutlak p-adic pada himpunan Q. Dalam penelitian ini juga akan ditunjukkan bahwa (Q,dp) merupakan ruang metrik khusus yaitu ruang metrik non-Archimedean. Selanjutnya, akan diberikan beberapa sifat (Q,dp) dengan menggunakan beberapa barisan khusus dalam Q. Lebih lanjut, dengan menggunakan sifat-sifat barisan tersebut, akan ditunjukkan bahwa (Q,dp) bukan merupakan ruang metrik lengkap.
Co-Authors Abraham Z. Wattimena Wattimena Batkunde, Harmanus Elvira Salelatu Francis Y. Rumlawang H. W. M. Patty Henry W. M. Patty Huwae, Elsa Kololu, Selvy Marchia Meilin Imelda Tilukay Mozart Winston Talakua Patty, Dyana Patty, Henry Willyam Michel Persulessy, Elvinus R. Pranaya D. M. Taihuttu Rahakbauw, Dorteus L Rumlawang, Francis Y. Yohana L. Simbolon Zeth Arthur Leleury, Zeth Arthur