Analisis Sistem Antrian dengan Model M/M/1 dan Model M/M/S (Studi Kasus : Seblak Mamah Saleh Cabang 2 Bandung)
DOI:
https://doi.org/10.63822/h59yfs41Keywords:
Queueing Theory, M/M/1 Model, M/M/S Model, Service System, Culinary UMKMAbstract
High public demand for Seblak Mamah Saleh (Bandung Branch 2) results in long queues at certain times, negatively impacting customer satisfaction and operational efficiency. This study aims to analyze the characteristics and performance of the queuing system at this location. The research employs queuing theory, specifically the M/M/1 and M/M/S models. Analysis using the M/M/1 model revealed a system utilization value of 1.93, indicating an unstable system where the queue grows indefinitely. To address this, the number of cashiers was increased from one to two. The M/M/S model analysis showed that system utilization dropped to 0.963, with a 0.02 probability of the system being empty. Additionally, the average number of customers in the system was 26.82 (with 24.90 in the queue), the average time spent in the system was 20.37 minutes (with 18.91 minutes spent waiting in the queue), and the probability of a customer having to wait was 94.5%. Although the probability of waiting remains relatively high, the addition of a cashier successfully stabilized the queuing system
References
Akbar, Y. R., & Mar’aini. (2022). Desain Sistem Manajemen Antrean Pada Pelayanan Teller Bank. https://doi.org/10.55382/jurnalpustakamanajemen.v2i2.342
Anshori, M., & Andesta, D. (2023). Analisis Sistem Antrian Pada Proses Pelayanan Pelanggan di Mie Gacoan XYZ. JUSTI (Jurnal Sistem Dan Teknik Industri), 4(1), 115–121. https://doi.org/10.30587/justicb.v4i1.6718
Apipah, S. N., Utami, S. S., Apipah, S., & Somadi. (2026). Penerapan Model Antrian dalam Upaya Optimalisasi Efiensi Pelayanan Warung Kuliner Gorengan Rela Menanti Sabar Menunggu. https://doi.org/10.8734/musytari.v1i2.359
Fakhira, A. L., Utomo, P. E. P., & Iftitah, H. (2025). Analisis Efektivitas Penambahan Server di Waktu Tertentu pada Sistem Antrian Toko Pupuk Sumber Tani : Peralihan dari Model M/M/1 dan Mengurangi Antrian. In Journal of Management and Innovation Entrepreunership (JMIE) (Vol. 2, Number 2). https://doi.org/10.70248/jmie.v2i2.1708
Hasan, M., Aisha Putri Lubis, S., Izzati Sarah, S., Purba, diyah, & Salamah Br Ginting, S. (2026). Kajian Teori Antrian Model M/M/1 dan Implementasinya pada Berbagai Sistem Pelayanan. Jurnal Ilmiah Multidisiplin, 2(1). https://doi.org/10.63822/31ahp913
Heizer, J., Render, B., & Munson, C. (2023). Operations Management : Sustainability and Supply Chain Management (14th ed.). Pearson.
Hillier, F. S., & Lieberman, G. J. (2021). Introduction to Operation Research (11th ed.). MCGraw-Hill Education.
Isandi, E., Mazhar, D. A. M., Adrian, Y. A., & Ritonga, I. D. R. (2025). Analisis Kinerja Sistem Pelayanan di Usaha Pencucian Sepeda Motor JL.Belibis Labuhan Batu Berdasarkan Model Antrian M/M/S. Journal Computer Science and Information Technology (JCoInT), 6(2), 81–92. http://jurnal.ulb.ac.id/index.php/JCoInT/index
Juwita, I., Iskandar, & Ilham. (2023). Analisis Efektivitas Jalur Antrian Pada Sistem Transaksi PT. Pos Indonesia di Tenggarong (Vol. 22). https://doi.org/10.53640/jemi.v22i1.1056
Kotler, P., & Keller, K. L. K. (2016). Marketing Management (Edisi ke-15) (15th Edision). Pearson.
Laoly, S. K., Wilia, U., Nurhalimah, R., & Hendra, C. (2024). Implementasi Teori Antrian Single Chanel Model (M/M/1) Menggunakan Microsoft Excel Dalam Pengujian Kelayakan Kendaraan Bermotor Pada Dinas Perhubungan Kota Medan. Bilangan : Jurnal Ilmiah Matematika, Kebumian Dan Angkasa, 2(3), 53–60. https://doi.org/10.62383/bilangan.v2i3.51
Parulian, T. (2023). Analisis Penerapan Teori Sistem Antrian pada Pelayanan di Rumah Makan Ayam Geprek XYZ. 6, 48–52. https://doi.org/10.32734/ee.v6i1.1779
Purnomo, B. H., Wibowo, Y., & Aditya, G. Y. (2021). Analisis Model Sistem Antrean pada Pelayanan Restoran Mi Cepat Saji di Kabupaten Jember. Agrointek : Jurnal Teknologi Industri Pertanian, 15(4), 1071–1083. https://doi.org/10.21107/agrointek.v15i4.10452
Qilmi, A. T., Sulistyawati, D. R., & Mohammad, G. (2026). Analisis Optimalisasi Sistem Antrean Pelanggan Cafe Kopinan 24 Menggunakan Model M/M/1 dan M/M/2. Jurnal Industrikrisna, 15(1). https://doi.org/10.61488/industrikrisna.v15i1.754
Rianti, D., Mukhaiyar, U., & Mardianto, L. (2022). Analisis Sistem Antrian pada Pelayanan Help Desk UPT TIK Institut Teknologi Sumatera Menggunakan Teori Antrian. Original Article Indonesian Journal of Applied Mathematics, 2(1), 10–17. https://journal.itera.ac.id/index.php/indojam/
Rismawati, D., Mangku, I. W., & Sumarno, H. (2023). M/M/1 Non-preemptive Priority Queuing System with Multiple Vacations and Vacation Interruptions. JTAM (Jurnal Teori Dan Aplikasi Matematika), 7(3), 751. https://doi.org/10.31764/jtam.v7i3.14910
Somadi. (2020). Bauran Strategi Pemberdayaan Usaha Mikro Dan Kecil (UMK) di Kabupaten Sukabumi. Volume 15. https://doi.org/10.36618/competitive.v15i1.674
Taha, A. H. (2025). Operations research: An introduction (11th ed.). Pearson Education.
Tjiptono, F. (2022). Service Management : Mewujudkan Layanan Prima (4th ed.). Andi.
Wiranda, D., Muhardi, & Gumelar, E. T. G. (2022). Analisis Sistem Antrian Layanan Teller Dengan Menggunakan Metode Multi Channel-Single Phase (M/M/S) Untuk Mengoptimalkan Pelayanan. Jurnal Riset Manajemen Dan Bisnis, 2(2), 71–80. https://doi.org/10.29313/jrmb.v2i2.1633
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Wulandari Nur Fitri, Rainnada Shalma, Indri Ratna Ayu , Somadi Somadi (Author)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
