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All Journal Jurnal Matematika: MANTIK
Monike Febriyani Faris
UIN Sunan Ampel Surabaya
Mathematics

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Implementation of The Open Jackson Queuing Network to Reduce Waiting Time Monike Febriyani Faris; Yuniar Farida; Dian C. Rini Novitasari; Nurissaidah Ulinnuha; Moh. Hafiyusholeh
Jurnal Matematika MANTIK Vol. 6 No. 2 (2020): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2020.6.2.83-92

Abstract

Waiting for service is a common thing in-hospital services. The more patients are waiting, the service delay increases, so waiting time in the queue gets longer. In health care in a hospital, a patient will queue several times in more than one queue in a hospital outpatient installation. The case study in this research is the queue system in the hospital's outpatient treatment, implementing an open Jackson queueing network to minimize waiting time. The workstations examined in this study were the registration, pre-consultation, and cardiology poly consultation, and pharmacy. The data is carried out for six days, counting the number of arrivals and departures with each point at intervals of 5 minutes. Applying the Jackson open queue network model, a recommendation was obtained for the hospital to increase employees' numbers. The registration workstation must have four servers; a poly cardiology workstation had three nurses and four doctors, while for pharmacy, had seven employees. With this personnel's addition, patients' total waiting time in the queuing system is approximately 12 minutes/patient. So, it can reduce waiting times in the queueing system that was initially 108 minutes/patient.
Co-Authors Dian C. Rini Novitasari Moh. Hafiyusholeh Nurissaidah Ulinnuha Yuniar Farida