Analisis sistem antrian model G/G/1 pada fasilitas layanan kesehatan

Aditya Rahadian Fachrur, Laura Novel Hutagaol, Rendiansyah Rendiansyah

Abstract


Health care is one of the services that must maintain excellent service quality, particularly in terms of patient wait times, including for XYZ health care facilities. XYZ health care services include administration or registration, health check-ups, and drug collection. Queues of patients are frequently encountered during the outpatient service process at XYZ health facilities. These queues often occur when patients perform registration administration, allegedly because there is only one registration counter. This problem will certainly affect patient satisfaction because service waiting time is a health facility customer satisfaction indicator. This study aims to analyze the queuing system for administrative services and health checks using the queuing theory method to obtain a queuing model and queuing performance. The results of this study indicate that the XYZ health facility queuing model is G/G/1/FIFO/I/I with an arrival rate for each service stage of 13 and 11 patients per hour, respectively, with 11 and 13 patients. Steady-state conditions are not met in administrative services because the arrival rate is higher than the service level, so the performance of the queuing system can be analyzed only on health check services, with the result that the probability of service facilities experiencing idle is 0.12. The average number of patients in the queue is one patient per hour, and the average number of patients in the system is four people per hour, while the waiting time for health check services is 37.0820 minutes per patient. The average length of time is 37.0820 minutes per patient. Patients are in the health care system for 41.9714 minutes per patient.


Full Text:

PDF

References


R. Nugraheni, “Gambaran Waktu Tunggu Pasien dan Mutu Pelayanan Rawat Jalan di Poli Umum UPTD Puskesmas Pesantren 1 Kota Kediri Tahun 2017,” Jurnal Wiyata, vol. 4, no. 2, hal. 165–172, 2017.

P. N. Azhari dan F. Niswah, “Kualitas Pelayanan Pendaftaran Pasien Melalui Sistem Informasi Antrian di Puskesmas Tarik (SIAP TARIK) Kecamatan Tarik-Sidoarjo,” Publika, vol. 8, no. 1, 2020.

G. Ismanto, Arenawati, Listyaningsih, dan A. P. Witantra, “Survei Indeks Kepuasan Masyarakat Terhadap Penyelenggaraan Pelayanan Publik di Puskesmas Se-Kabupaten Serang Tahun 2019,” Kabupaten Serang, 2019.

A. S. Septiani, P. A. Wigati, dan E. Y. Fatmasari, “Gambaran Sistem Antrian Pasien Dalam Optimasi Pelayanan Di Loket Pendaftaran Instalasi Rawat Jalan Rumah Sakit Umum Pusat Fatmawati,” Jurnal Kesehatan Masyarakat (e-Journal), vol. 5, no. 4, hal. 1–14, 2017.

Dinas Kesehatan Provinsi Banten, “Profil Kesehatan Provinsi Banten,” Kota Serang, 2020.

K. Salsabila, R. Renny, dan S. E. Supriyanto, “Analisis Model Antrian Kegiatan Kendaraan Operasional Dinas Di Kabupaten Banyumas Tahun 2020,” Jurnal Ilmiah Matematika dan Pendidikan Matematika, vol. 13, no. 1, hal. 39, 2021, doi: 10.20884/1.jmp.2021.13.1.4464.

F. S. Hillier dan G. J. Lieberman, Introduction to Operations Research, 7 ed. McGraw-Hill, 2001.

S. Milanda, Usman, dan D. Ukkas, “Pengaruh Sistem Antrian Dan Pelayanan Dalam Meningkatkan Efekttifitas Pelayanan Pasien Rawat Jalan Di Puskesmas Madising Na Mario Kota Parepare,” Jurnal Ilmiah Manusia Dan Kesehatan, vol. 2, no. 1, hal. 26–33, 2019, doi: 10.31850/makes.v2i1.120.

D. E. Cahyono, “Perancangan Sistem Informasi Antrian Pasien di UPT Puskesmas Kaligesing,” Jurnal Ekonomi dan Teknik Informatika, vol. 9, no. 2, hal. 76–81, 2021.

D. Mulyati, A. Qasir, O. Alsyah, S. Yana, dan D. Satria, “Model Antrian Pada Apotek Puskesmas Ingin Jaya Aceh Besar,” 2019. [Daring]. Tersedia pada: https://repository.unimal.ac.id/4983/

R. W. Arini dan N. Suhartini, “Analisis sistem antrian badan penyelenggara jaminan sosial (BPJS) kesehatan: studi kasus puskesmas margadadi,” hal. 23–37, 2022.

V. F. Daelima, E. Febianti, dan M. A. Ilhami, “Analisis Keseimbangan Lintasan untuk Meningkatkan Kapasitas Produksi dengan Pendekatan Line Balancing dan Simulasi,” Jurnal Teknik Industri Untirta, vol. 1, no. 2, hal. 107–113, 2013.

W. S. Findari dan Y. A. Nugroho, “Optimasi Sistem Antrian Pada Layanan Kesehatan Masyrakat Dengan Pendekatan Simulasi,” Jurnal Manajemen Industri Dan Logistik, vol. 03, hal. 14–22, 2019.

R. Cornellia, “Analisis Antrian pada Loket Pembuatan Elektronik KTP dengan Menggunakan Simulasi Promodel,” STRING (Satuan Tulisan Riset dan Inovasi Teknologi), vol. 3, no. 2, hal. 119, 2018, doi: 10.30998/string.v3i2.2763.

R. Listiyani, L. Linawati, dan L. R. Sasongko, “Analisis Proses Produksi Menggunakan Teori Antrian Secara Analitik dan Simulasi,” Jurnal Rekayasa Sistem Industri, vol. 8, no. 1, hal. 9–18, 2019, doi: 10.26593/jrsi.v8i1.3154.9-18.

E. P. Setiawan, H. Sukoco, dan L. Harini, “Simulasi Penerapan Teori Antrian Dalam Pembatasan Pengunjung Objek Wisata,” BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 15, no. 4, hal. 719–726, 2021, doi: 10.30598/barekengvol15iss4pp719-726.

M. A. Ali, “Analisis Optimalisasi Pelayanan Konsumen Berdasarkan Teori Antrian Pada KALTIMGPS.COM Di Samarinda,” eJournal Ilmu Administrasi Bisnis, vol. 2, no. 3, hal. 346–357, 2014.

S. Bahar, M. L. Mananohas, dan C. Montolalu, “Model Sistem Antrian dengan Menggunakan Pola Kedatangan dan Pola Pelayanan Pemohon SIM di Satuan Penyelenggaraan Adminstrasi SIM Resort Kepolisian Manado,” d’CARTESIAN, vol. 7, no. 1, hal. 15, 2018, doi: 10.35799/dc.7.1.2018.19549.

H. A. Taha, Operation Research: An Introduction, 10 ed. Harlow: Pearson Education, Inc, 2017.

I. S. Christophorus dan J. D. Lesmono, “Model Antrian G/G/1 dan Aplikasinya Pada Antrian Kedatangan Penerbangan Di Landasan Pacu Bandara,” in Seminar Nasional Matematika, 2018, hal. 78–85.

F. P. Astrelia, Sugito, dan T. Wuryandari, “Analisis Antrian Pengunjung Dan Kinerja Sistem Dinas Kependudukan dan Pencatatan Sipil Kota Semarang,” Jurnal Gau, vol. 4, no. 4, hal. 837–844, 2015.

N. Nindyaiswari, Sugito, dan Y. Wilandari, “Identifikasi Model Antrian Bus Rapid Transit (BRT) Pada Halte Operasional BRT Semarang,” Jurnal Gaussian, vol. 4, no. 3, hal. 593–601, 2015.

P. R. Muninggar et al., “Analisis Sistem Antrian dengan Simulasi di Puskesmas Cebongan Kota Salatiga,” vol. 8, no. 2, hal. 57–64, 2019, doi: 10.14421/fourier.2019.82.57-64.




DOI: http://dx.doi.org/10.36055/joseam.v1i1.17547

Refbacks

  • There are currently no refbacks.


Universitas Sultan Ageng Tirtayasa