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All Journal Jejak digital: Jurnal Ilmiah Multidisiplin Young Journal of Social Sciences and Humanities
Siti Salamah Br. Ginting
Universitas Islam Negeri Sumatera Utara
Humanities Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Social Sciences Other

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Penerapan Metode Simpleks Untuk Optimasi Produksi pada UMKM Syifa Hidroponik Medan Qori Aulia Hafni Nasution; Fara Syifa Nabila Siregar; Annisa Aulia Dahlan Dalimunthe; Asrah Nabila Purba; Siti Salamah Br. Ginting
Young Journal of Social Sciences and Humanities Vol. 1 No. 2 (2025): Young Journal of Social Sciences and Humanities
Publisher : Yayasan Bayt Shufiya Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66867/yjssh.v1i2.123

Abstract

This study aims to optimize the production process of kale-based food preparations, namely kale rendang and kale arsik, using a linear program approach. The main problem faced by business actors is limited resources such as raw materials, production time, and work capacity. By utilizing the simplex method, this study formulates a mathematical model of the objective function and real constraints in the production process. The optimization results show that to obtain maximum profit of Rp 3,000,000 per production cycle, the best strategy is to produce two units of kale rendang without producing kale arsik. This analysis confirms that kangkung rendang is mathematically more profitable than kangkung arsik, under the existing constraints. The findings recommend the use of linear programs as an effective decision-making tool in the planning and management of local food-based MSME production.
Kajian Teori Antrian Model M/M/1 dan Implementasinya pada Berbagai Sistem Pelayanan Maulana Hasan; Sabrina Aisha Putri Lubis; Siti Izzati Sarah; Halimatussya’diyah Purba; Siti Salamah Br. Ginting
Jejak digital: Jurnal Ilmiah Multidisiplin Vol. 2 No. 1 (2026): JANUARI
Publisher : INDO PUBLISHING

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/31ahp913

Abstract

The M/M/1 queuing model is one of the most fundamental mathematical approaches in queuing theory for analyzing single-server service systems. This article aims to examine the basic concepts of the M/M/1 model, its performance measures, and its implementation in various service systems through a Systematic Literature Review (SLR) approach to Indonesian-language publications. The results show that the M/M/1 model is widely applied in the banking, health, transportation, energy, and public service sectors. This model effectively predicts utilization rates (ρ), queue lengths (Lq), and waiting times (Wq). Limitations arise in systems with utilization >0.85, which cause instability. Increasing efficiency does not always require additional servers, but can be done through innovations such as digital queuing systems. The M/M/1 model serves as an analysis and strategic planning tool to maximize operational efficiency. Future research is recommended to explore complex models such as M/M/c or M/G/1 and integrate simulation methods.  
Co-Authors Annisa Aulia Dahlan Dalimunthe Asrah Nabila Purba Fara Syifa Nabila Siregar Halimatussya’diyah Purba Maulana Hasan Qori Aulia Hafni Nasution Sabrina Aisha Putri Lubis Siti izzati Sarah