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Algoritma - Algoritma Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa - Vol. 3 Issue. 2 (2025)

Analisis Sistem Antrian dengan Model M/M/C dalam Meningkatkan Efektivitas Kinerja Sistem

Novita Ibrahim, Salmun K. Nasib, Agusyarif Rezka Nuha, Muh Rifai Katili, Nurwan Nurwan, Djihad Wungguli,



Abstract

Study This aim For analyze system queue at the Population and Registration Service Civil ( Disdukcapil) Bone Bolango Regency as well as apply the M/M/C (Multi Channel Single Phase ) queuing model optimizing performance system and upgrade effectiveness service to public . Arrival data visitors and time service collected for 5 days through observation . Analysis results show system applied queue moment This is the model (M/M/4 ): (FIFO/?/?) with level arrival visitors Poisson distribution , time service distribute Exponential , 4 counters service , discipline first-come first-served (FCFS) queues , as well source arrival and capacity queue No limited . Size performance the system in existing conditions shows time wait for the average visitor in system amounting to 26.4 minutes and time Wait in queue amounting to 44.4 minutes . For optimizing performance , research recommend application of the model (M/M/7 ) : (FIFO/?/?) with add amount counter service into 7 counters . In this model , level utility system (?) is below 50 % ie about 41%, which is considered effective Because enter in range level utility low (5%-10%). Application of the queuing model with 7 counters projected can shorten time wait for the average visitor in system to 18.42 minutes and time Wait in queue to 18 minutes . Findings This expected can increase effectiveness service and satisfaction public to service Disdukcapil Bone Bolango Regency.







DOI :


Sitasi :

0

PISSN :

3032-6230

EISSN :

3046-5427

Date.Create Crossref:

06-Jul-2025

Date.Issue :

13-Mar-2025

Date.Publish :

13-Mar-2025

Date.PublishOnline :

13-Mar-2025



PDF File :

Resource :

Open

License :

https://creativecommons.org/licenses/by-sa/4.0