Jejak digital: Jurnal Ilmiah Multidisiplin
Vol. 2 No. 1 (2026): JANUARI

Kajian Teori Antrian Model M/M/1 dan Implementasinya pada Berbagai Sistem Pelayanan

Maulana Hasan (Universitas Islam Negeri Sumatera Utara)
Sabrina Aisha Putri Lubis (Universitas Islam Negeri Sumatera Utara)
Siti Izzati Sarah (Universitas Islam Negeri Sumatera Utara)
Halimatussya’diyah Purba (Universitas Islam Negeri Sumatera Utara)
Siti Salamah Br. Ginting (Universitas Islam Negeri Sumatera Utara)



Article Info

Publish Date
05 Jan 2026

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.  

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Journal Info

Abbrev

jejakdigital

Publisher

Subject

Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Social Sciences Other

Description

Jurnal Ilmiah Multidisiplin adalah jurnal elektronik dan cetak Open Access Journal yang diterbitkan oleh Indo Publishing setiap 6 kali dalam setahun menyediakan forum untuk mempublikasikan artikel penelitian asli, artikel review dari kontributor, dan berita teknologi baru mencangkup multidisiplin ...