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Optimasi Waktu dan Biaya Pembangunan Box Underpass Proyek Jalan Tol Ruas Sigli-Banda Aceh dengan Menggunakan Metode PERT dan EVM Fahri, Muhammad Iqbal; Rakhmawati , Fibri; Panjaitan , Dedy Juliandri
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Vol 7 No 1 Maret 2024
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v7i1.3166

Abstract

Peningkatan efisiensi dalam proyek konstruksi infrastruktur jalan tol adalah suatu keharusan dalam upaya meminimalkan biaya dan mempercepat waktu penyelesaian. Tujuan dari penelitian ini untuk mengoptimalkan waktu dan biaya pembangunan Box Underpass dalam proyek jalan tol ruas Sigli-Banda Aceh dengan menggunakan Metode PERT (Program Evaluation and Review Technique) dan EVM (Earned Value Management). PeneIitian ini menggunakan jenis peneIitian terapan, jenis data yang digunakan adaIah data sekunder yang diambil dan dikumpulkan secara langsung dari tempat penelitian. Hasil peneIitian ini menunjukkan bahwa integrasi Metode PERT dan EVM dapat menghasilkan perencanaan yang lebih baik dan pengendalian yang lebih efektif terhadap waktu dan biaya proyek. Dengan pemantauan yang cermat dan analisis terus-menerus, proyek ini dapat diselesaikan lebih cepat dan dengan biaya yang Iebih efisien, sehingga memberikan manfaat signifikan bagi pemangku kepentingan proyek dan masyarakat yang akan menggunakan jalan tol ini. Proyek ini memiliki probabilitas sebesar 98,46% dengan estimasi waktu penyelesaian adalah 70 hari. Adapun perkiraan total biaya akhir proyek jika tren berkelanjutan adalah Rp 2.844.277.455.
SEIR Model for Stunting Risk Dynamics in Children Based on Nutritional Data in North Sumatra Aprilia, Rima; Panjaitan, Dedy Juliandri
Indonesian Journal of Education and Mathematical Science Vol 7, No 1 (2026)
Publisher : Universitas Muhammadiyah Sumatera Utara (UMSU)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30596/ijems.v7i1.29193

Abstract

Stunting remains a major chronic nutritional challenge in Indonesia, particularly in North Sumatra Province, where prevalence reaches 21.1% among children aged 2-4 years. This study develops a modified SEIR (Susceptible-Exposed-Infected-Recovered) mathematical model to analyse stunting risk dynamics based on nutritional intake patterns, using secondary data from the BPS, SSGI 2023, and the North Sumatra Health Profile 2023. Model compartments represent susceptible children (S), low-birth-weight infants indicating exposure risk (E), severely malnourished children (I), and recovered children after nutritional intervention (R). Parameter estimation employed least-squares fitting, with numerical simulations conducted over 12 months using a fourth-order Runge-Kutta method implemented in Python. Results reveal declining susceptible population trends alongside increases in the exposed (E: 1,362→1,525) and infected (I: 449→723) compartments, despite rising recovery rates (R: 414→2,900), indicating that current nutritional interventions are insufficient to suppress new stunting risk cases. The basic reproduction number proxy (R₀≈1.20) suggests self-sustaining risk propagation. The model demonstrates good fit to empirical SSGI data (MSE=0.012) and provides a quantitative basis for evidence-based nutritional policy formulation in North Sumatra, particularly targeting high-risk districts (Nias, Mandailing Natal, Langkat) identified through spatial analysis.
Penguatan Teori Antrian Pada Pengambilan Dana Bantuan Anak Yatim Dan Muslim Lanjut Usia (MUNSIA) di BAZNAS Provinsi Sumatera Utara aprilia, rima; sari, Della Arsita; Syahfitri, Ellysa; Br Damanik, Mahyuni; Batubara, Nuriman Astuti; Panjaitan, Dedy Juliandri
Amaliah: Jurnal Pengabdian Kepada Masyarakat Vol 8 No 1 (2024): Amaliah: Jurnal Pengabdian Kepada Masyarakat
Publisher : LPPI UMN AL WASHLIYAH

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32696/ajpkm.v8i1.3054

Abstract

In an effort to build the people's economy, zakat is an important instrument that has great potential, especially for the development and welfare of the economic life of the community. However, this potential must be managed properly and professionally. There are several functions that are carried out, namely planning, implementing and controlling the collection, distribution, and utilization of zakat and reporting accountability for zakat management. The National Zakat Agency is authorized to collect, distribute, and utilize zakat. Community service carried out at Baznas in order to implement a queue system for withdrawing funds for MUNSIA at BAZNAS to help recipients of assistance receive services faster and not experience long waiting times. So to find out the optimal service performance measure in withdrawing funds for orphans and elderly Muslims, a single-track queue system is needed. In the process of serving recipients of MUNSIA at the BAZNAS office, a single-track queue model can be used. Where there is only one path that takes customers to the service stage. The time required by recipients of orphan and munsia aid funds applies the First Come First Served service where customers who come first will be served first. To optimize the service process for recipients of orphan and munsia aid funds, the Model (M/M/1) queuing theory formula can be used. Based on the results obtained, the performance of the queuing system is still optimal because officers are able to provide services to 90% of the arrivals of 55 recipients of orphan and MUNSIA aid funds.
Co-Authors Adinda Kinanti Alistraja Dison Silalahi Anggi Sapana Br Tarigan Anjeli, Sarifah Anjelia Tarigan Anurni Lestari Daeli Aprilia, Rima Atika Erlina Nasution Azmi Arief Sinaga Batu, Siti Sadar Sulastri Lumban Batubara, Nuriman Astuti Br Damanik, Mahyuni Br Tarigan, Dinda Renita Carissa Ghaniya Azzahra Carissa Ghaniya Azzahra Dahlia Dahlia Dahlia Dahlia Darmiati Darmiati Desi Syahfitri Dewi Fitria Dewi Nur Hasanah Elsadday Br Manalu Elvi Syahara Lubis Evi Julyana Nasution Fahri, Muhammad Iqbal Fayed, Heba A. Firmansyah Firmansyah Firmansyah Firmansyah Firmansyah Firmansyah Francisca, Onatri Gultom, Anastasya L. Hari Munandar Haryati Ahda Nasution Hasanah Hasanah Hasibuan, Nurleli Hema Pebria Rollingka Hidayat Hidayat Hilza Karyawati Indriani Husna, Wilia Indah Widya Hanzani Ismail Husein, Ismail Jamilah Rambe Kartolo, Rahmad Kristina Intan Parulian Panjaitan Kusyani, Diah Liza, Tasya Dwi Lubis, Lailan Syafira Putri Madyunus Salayan Madyunus Salayan, Madyunus Mariadi Marisa, - Mega Putri yani Muhammad Iqbal Fahri Muhammad Ridwan Muhammad Ridwan Naibaho, Mesni Harianty Nasution, Amanda Syahri Neni Triana, Neni Nisa Khairani Nurdalilah Nurdalilah Nurdalilah Nurdalilah Nurdiono Nurdiono Nurhafni Siregar Nurhalizah, Siti Nurlela Nurlela Nurmairina Pesta Rut Cahaya Sitanggang Putri, Annisa Fadhillah Rakhmawati , Fibri Rakhmawati, Fibri Ramadhani Ramadhani Rangkuti, Sakdiah Aini Rennika Irfenti Seprina Simorangkir Resti Yolanda Rima Aprilia Rima Aprilia Rina Filia Sari Rina Filia Sari, Rina Filia Rina Widyasari Rina Widyasari Risnawati, Erna Rita Destini Rizki Rahmadani Rizki Rahmadani Siregar Sagala, Pehulysa Saiful Bahri Saiful Bahri Santi Oktafenti Sapta, Andy Saragih, Agung Evansiyus Saragih, Jenri Hamonangan Sari, Della Arsita Sari, Dwi Novita Sekar Ayu Irawan Sezi Oktavia Simarmata Silalahi, Alistraja Dison Simbolon, Nurarfah H Sipahutar, Tuti Sumyati Siregar, Aisyah Siregar, Annisa Fadhillah Putri Siti Aisyah Sri Ulfa Rahayu Sri Wardaniyah Sudirman Sudirman Sukmana, Eko Akbar Syahara Lubis, Elvi Syahfitri, Ellysa Syahfitri, Lely Tarigan, Anjelia Taripar R Sihaloho Uliya Khoirun Nisa Waruwu, Nove Susanti Yessy Novalia Yovita Ningtias Yuki Indayanti Yuniar, Nana Yusnita, Nora Zahari, Cut Latifah Zebua, Mesra Belinda