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Algoritma Tabu Search untuk Graf Optimasi Rute Pengiriman Barang Heryana, Rowina Windiyani; Didi Suhaedi
Jurnal Riset Matematika Volume 4, No.2, Desember 2024, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v4i2.5063

Abstract

Abstrak. Dalam industri jasa ekspedisi, efisiensi rute pengiriman barang sangat penting untuk menekan biaya operasional dan meningkatkan kepuasan pelanggan. Dengan meningkatnya volume pengiriman akibat tren belanja online, optimasi rute pengiriman menjadi masalah yang krusial. Penelitian ini menggunakan data lokasi pengiriman barang pada satu hari pengiriman dengan lima titik pengiriman yang diolah dengan algoritma Tabu Search untuk mengatasi masalah optimasi rute pengiriman barang. Algoritma ini dipilih karena menggunakan memori tabu yang menyimpan solusi sebelumnya dan mencegah perulangan. Selain itu, algoritma Tabu Search dapat menghasilkan solusi yang optimal dengan adanya pertukaran dua vertex secara berurutan pada tiap iterasinya. Masalah rute pengiriman barang direpresentasikan dalam bentuk graf, dengan setiap simpul (vertex) mewakili lokasi pengiriman dan setiap sisi (edge) mewakili rute dengan bobot tertentu yang mewakili total jarak tempuh. Hasil penelitian ini menunjukkan bahwa algoritma Tabu Search dapat mengoptimalkan total jarak tempuh sebanyak 1,71%. Hal ini dapat memberikan rekomendasi rute pengiriman dengan total jarak tempuh minimum untuk jasa ekspedisi. Abstract. In the shipping industry, the efficiency of shipping routes is very important to reduce operational costs and increase customer satisfaction. With the increasing volume of shipments due to the trend of online shopping, optimization of shipping routes becomes a crucial problem. This study uses data on shipping locations on one shipping day with five shipping points processed by the Tabu Search algorithm to solve the problem of shipping route optimization. This algorithm was chosen because it uses tabu memory that stores previous solutions and prevents repetition. In addition, the Tabu Search algorithm can produce optimal solutions by exchanging two vertices sequentially in each iteration. The problem of shipping routes is represented in the form of a graph, with each vertex representing a shipping location and each edge representing a route with a certain weight representing the total distance traveled. The results of this study indicate that the Tabu Search algorithm can optimize the total distance traveled by 1.71%. This can provide recommendations for shipping routes with a minimum total distance traveled for shipping services.
Estimasi Keuntungan Penjualan dengan Fuzzy Subtractive Clustering dan FIS Sugeno Orde-1 Ashri Nur Aisyah; Didi Suhaedi
Jurnal Riset Matematika Volume 5, No.1, Juli 2025, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v5i1.6411

Abstract

Abstract. This research aims to develop a sales profit estimation model for Himatex, a textile distributor, using sales data from January 2021 to May 2023. The model is built through the application of fuzzy logic, specifically employing the fuzzy subtractive clustering method and the Sugeno Order-1 Fuzzy Inference System. The study involves two key processes: clustering sales data and implementing an inference system, both of which are integrated into the fuzzy logic framework. A significant issue faced by the distributor is the lack of attention to fabric types, leading to overstocking in warehouses. This stockpiling results in a mismatch between market demand and supply, causing financial losses. The research findings indicate that setting a radius value of 0.18, an accept ratio of 0.5, a reject ratio of 0.15, and a squash factor of 1.25, along with boundary values of [0; 0; 0] and [3,000; 60,000,000; 25,000,000], leads to the formation of five clusters and five profit estimation models. Data testing, using an average fabric yardage of 279 meters and an average sales value of Rp. 16,274,256, resulted in an estimated average profit of Rp. 4,696,327. The model demonstrated a low cumulative error percentage of 9.0919%, indicating high forecasting accuracy. Consequently, this model is suitable for textile distributors. Abstrak. Tujuan dari penelitian ini yaitu menentukan model estimasi keuntungan penjualan dengan data penjualan kain tekstil distributor Himatex di bulan Januari 2021-Mei 2023 melalui penerapan logika fuzzy menggunakan metode Fuzzy Subtractive Clustering dan Fuzzy Inference System Sugeno Orde- 1. Untuk menentukan model estimasi keuntungan penjualan terdapat 2 proses, yaitu proses clustering data dan melakukan inference system, kedua proses ini termasuk kedalam pembahasan yang sama yaitu dalam penerapan logika fuzzy. Masalah yang terjadi dalam distributor ini yaitu tidak memperhatikan jenis kain di minggu keberapa yang harus tingkatkan penjualannya, sehingga terjadinya penimbunan kain di dalam gudang. Dengan adanya penimbunan di gudang mengakibatkan ketidaksesuaian permintaan pasar dan juga penjualan mengalami sejumlah kerugian. Berdasarkan hasil penelitian yang telah dilakukan, dengan mengatur nilai jari-jari sebesar 0,18, nilai accept ratio sebesar 0,5, nilai reject ratio sebesar 0,15, nilai squash factor sebesar 1,25, [0; 0; 0], dan [3.000; 60.000.000; 25.000.000] diperoleh 5 cluster dan 5 persamaan model estimasi keuntungan penjualan. Hasil dari pengujian data menunjukan bahwa dengan menginputkan variabel rata-rata yard 279 meter, rata-rata penjualan Rp. 16.274.256, menghasilkan output rata-rata keuntungan penjualan sebanyak Rp. 4.696.327. Dari hasil pengolahan data, keseluruhan data telah diuji oleh presentase galat kumulatif sebanyak 9,0919%, dan kesalahan tersebut cukup rendah, dalam artian estimasi atau peramalan sangat baik. Sehingga model yang terbentuk pada penelitian ini dapat diajukan pada distributor kain tekstil.
Penggunaan Metode ROC dan PROMETHEE II Pada Pemilihan Investasi Sektor Perbankan Lestari, Tira Ayu Verania; Didi Suhaedi
Jurnal Riset Matematika Volume 5, No.1, Juli 2025, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v5i1.6441

Abstract

Abstract. This study focuses on the selection of banking sector investments listed in the LQ45 Index. Investment in the banking sector plays an important role in the economy. However, investors have difficulty in choosing the right company based on the bank's financial health. To help assess a healthy company, various assessment criteria can be set such as Capital Adequacy Rate, Non Performing Loan, Return On Asset, Return On Equity, Net Interest Margin, Operating Costs and Operating Income, and Loan to Deposit Ratio. Meanwhile, to help select investments, this study uses the Rank Order Centroid method to determine the weight value of each criterion and Promethee II to determine the ranking order of alternative investments. The calculation results using the Promethee II method show that alternative Bank 3 (A3) (net flow = 0.27) as the first ranked alternative, Bank 2 (A2) (net flow = 0.24) as the second ranked alternative, Bank 1 (A1) and Bank 7 (A7) (net flow = -0.01) as the third ranked alternative, Bank 5 (A5) (net flow = -0.03) as the fourth ranked alternative, Bank 6 (A6) (net flow = -0.15) as the fifth ranked alternative, and Bank 4 (A4) (net flow = -0.32) as the sixth ranked alternative. Abstrak. Penelitian ini berfokus pada pemilihan investasi sektor perbankan yang terdaftar dalam Indeks LQ45. Investasi dalam sektor perbankan mempunyai peran penting dalam perekonomian. Namun, bagi investor terdapat kesulitan dalam memilih perusahaan yang tepat berdasarkan kondisi kesehatan finansial bank. Untuk membantu menilai perusahaan yang sehat, dapat ditetapkan berbagai kriteria penilaian seperti Capital Adequacy Rate, Non Performing Loan, Return On Asset, Return On Equity, Net Interest Margin, Biaya Operasional dan Pendapatan Operasional, dan Loan to Deposit Ratio. Sedangkan untuk membantu pemilihan investasi, penelitian ini menggunakan metode Rank Order Centroid untuk menentukan nilai bobot dari setiap kriteria dan Promethee II untuk menentukan urutan perankingan alternatif investasi. Hasil perhitungan menggunakan metode Promethee II menunjukkan bahwa alternatif Bank 3 () (net flow = 0,27) sebagai alternatif peringkat pertama, Bank 2 () (net flow = 0,24) sebagai alternatif peringkat kedua, Bank 1 () dan Bank 7 () (net flow = -0,01) sebagai alternatif peringkat ketiga, Bank 5 () (net flow = -0,03) sebagai alternatif peringkat keempat, Bank 6 () (net flow = -0,15) sebagai alternatif peringkat kelima, dan Bank 4 () (net flow = -0,32) sebagai alternatif peringkat keenam.
Pengaruh Belanja Pemerintah dan PMDN Terhadap Produk Domestik Regional Bruto di Provinsi Jawa Barat Ryadi, Silvy Faiza; Suhaedi, Didi
Matematika: Jurnal Teori dan Terapan Matematika Vol. 24 No. 1 (2025): Jurnal Matematika
Publisher : UPT Publikasi Universitas Islam Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/matematika.v24i1.3990

Abstract

Indonesia merupakan negara berkembang yang masih bergelut dengan permasalahan perekonomian. Dengan berlakunya otonomi daerah, diharapkan tiap wilayah dapat membantu pertumbuhan perekonomian negara dengan cara mengoptimalkan realisasi anggaran pemerintah yang ada untuk pemenuhan kebutuhan masyarakat. Hal ini mengindikasikan bahwa belanja pemerintah harus direalisasikan secara optimal dan harus bisa mempengaruhi perekonomian di wilayah tersebut. Produk Domestik Regional Bruto (PDRB) digunakan sebagai instrumen dalam mengetahui kondisi perekonomian di suatu daerah. Indikator lain yang berperan meningkatkan PDRB adalah investasi. Besar investasi berhubungan dengan belanja pemerintah daerah yang realisasinya juga bernilai tinggi. Dengan demikian, baik investasi dalam negeri maupun belanja pemerintah daerah di Provinsi Jawa Barat seharusnya dapat menjadi variabel terkuat yang mempengaruhi nilai PDRB Provinsi Jawa Barat. Kemudian dilakukan penelitian dengan metode analisis regresi linier berganda untuk mengetahui pengaruh belanja pemerintah dan PMDN terhadap PDRB. Hasil penelitian didapatkan bahwa secara simultan, belanja pemerintah dan PMDN berpengaruh terhadap PDRB sebesar 98,2913%. Sedangkan secara parsial, belanja langsung dan belanja tidak langsung berpengaruh signifikan terhadap PDRB, dan untuk PMDN tidak berpengaruh signifikan terhadap PDRB. Indonesia is a developing country that's still struggling with economic problems. With the implementation of regional autonomy, it is hoped that each region can help the country's economic growth by optimizing the realization of the government spending to meet community needs. This indicates that government spending must be realized optimally and must be able to influence the economy in the region. Gross Regional Domestic Product (GRDP) is used as an instrument to determine economic conditions in a region. Another indicator that plays a role in increasing GRDP is investment. The amount of investment is related to regional government spending, the realization of which is also of high value. Thus, both domestic investment and regional government spending in West Java should be the strongest variables influencing the GRDP value of West Java. Then research was carried out using the multiple linear regression analysis method to determine the effect of government spending and PMDN on GRDP. The research results showed that simultaneously, government spending and PMDN had an effect on GRDP by 98.2913%. Meanwhile, partially, direct spending and indirect spending have a significant effect on GRDP, and PMDN does not have a significant effect on GRDP.
Unveiling the Geometry of Culture: An Ethnomathematical Exploration of Transformation Geometry in Cimahi Batik Motifs Purniati, Tia; suhaedi, Didi
Jurnal Pendidikan MIPA Vol 26, No 4 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i4.pp2518-2541

Abstract

Mathematics played an essential role in daily life. However, mathematics learning in schools was often less connected to students' real-life contexts, so many of them struggle to understand mathematical concepts. Relating mathematics to everyday life was necessary for students to understand its relevance and benefits. This research aimed to explore the cultural values and concepts of transformation geometry embedded in Cimahi batik motifs. The method used in this study was ethnographic, with the research conducted in Lembur Batik, Cimahi, West Java, Indonesia. The research framework in ethnomathematics adopted four key questions to inform the framework used to facilitate research, “Where should observations be made from?, "How is the observation process carried out?” "What are the results of these observations?", and “What is the meaning of it?. The investigator served as the instrument in the data-gathering process and used triangulation involving interviews, observations, and literature review. Analysis occurred in three stages: data condensation, data display, and drawing of conclusion. The study found that Cimahi batik motifs embody cultural values that reflect the identity of the Cimahi community. Moreover, these motifs employed concepts of transformation geometry, such as translation, reflection, rotation, and dilation. The distinctive feature of these findings is the association between the motif beauty of Cimahi batik and the use of transformation-geometry concepts derived from local culture. This is what makes the batik motif from Cimahi a valuable context for learning mathematics, particularly geometry. This has significant implications for the growth of ethnomathematics, as it means that geometrical concepts can be incorporated into local cultural frameworks within situational mathematics learning grounded in indigenous cultural knowledge.     Keywords: culture, transformation geometry, ethnomathematics, Cimahi batik motif.