Application of the Goal Programming Method in Nurse Scheduling at RSUD Dr. Hadrianus Sinaga Pangururan

Larry Ronaldo Samosir; Faiz Ahyaningsih

doi:10.55927/ijar.v2i7.4898

Authors

Larry Ronaldo Samosir Universitas Negeri Medan
Faiz Ahyaningsih Universitas Negeri Medan

DOI:

https://doi.org/10.55927/ijar.v2i7.4898

Keywords:

Goal Programming, LINGO Software, Nurse Scheduling

Abstract

The purpose of this study was to establish an effective and optimal nurse schedule at the Regional General Hospital dr. Hadrianus sinaga Pangururan. RSUD dr.Hadrianus Sinaga Pangururan is still scheduling nurses manually with a total of 20 nurses and has three work shifts namely morning, afternoon and evening. As a result of manual scheduling, it takes quite a long time and is less efficient due to imbalances in the distribution of shifts. The method used to solve nurse scheduling problems is Goal Programming. Goal Programming is the development of linear programs that are used to solve linear programming problems with multiple objective functions. In modeling this scheduling problem, there are two systems of constraints that must be met, namely the main constraints and additional constraints. The main obstacle is hospital rules that must be complied with while additional obstacles are hospital rules that are still given tolerance for violations. In modeling the nurse scheduling problem, each problem is converted into a mathematical model and the completion of the goal programming model is assisted by LINGO software. From the LINGO output, the results show that nurse scheduling using goal programming meets all system constraints, while the hospital's manual schedule does not meet system constraints.

Downloads

Download data is not yet available.

References

Abdillah, (2013) Program Linier: Dua Satu Press Fakultas Ilmu Tarbiyah Dan Keguruan Insitut Agama Islam Negeri Ambon.

Abdul Ghaffar, A. R., Hasan, M. G., Ashraf, Z., & Khan, M. F. (2020): Fuzzy goal programming with an imprecise intuitionistic fuzzy preference relations. Symmetry, 12(9), 1548. Diakses pada 30 januari 2023, dari https://www.mdpi.com/2073-8994/12/9/1548.

Adnan, Z. (2008): Ruang Lingkup Kesehatan Kerja dan Peran Dokter Kesehatan Kerja. Jakarta: PT. Gasindo.

Ang, B. Y., Lam, S. W. S., Pasupathy, Y., & Ong, M. E. H. (2018). Nurse workforce scheduling in the emergency department: a sequential decision support system considering multiple objectives. Journal of nursing management, 26(4),432441. Diakses pada 30 januari 2023, dari https://onlinelibrary.wiley.com/doi/abs/10.1111/jonm.12560.

Asefzadeh, S., Kalhor, R., & Tir, M. (2017): Patient safety culture and job stress among nurses in Mazandaran, Iran. Electronic Physician, 9(12), 6010. Diakses pada 30 januari 2023, dari https://www.ncbi.nlm.nih.gov/ pmc/articles/PMC5843428/.

Belien J, Demeulemeester E. (2007); Building cyclic master surgery schedules with leveled resulting bed occupancy. Operation Research. 176: 1185–1204. Diakses pada 30 januari 2023, dari https://www. sciencedirect.com/science/article/abs/pii /S0377221705006946.

Caisario, I., (2014): Pemodelan Masalah Penjadwalan Perawat Menggunakan Nonpreemptive Goal Programming: Studi Kasus di Rumah Sakit Permata Bekasi. Diakses pada 30 januari 2023, dari https://repository. ipb.ac.id/handle/123456789/81137.

Dimyati, T.T dan A.Dimyati. (2006): Operation Research Model-Model Pengambilan Keputusan. Bandung : Sinar Baru Algesindo.

Edy,S., 2015, “Program Linear,” Medan: Unimed Press.

Franita, Y. (2019): Pendekatan Goal Programming pada Model Penjadwalan Perawat Multiobjektif dengan Mempertimbangkan Preferensi Perawat. Unnes Journal of Mathematics, 8(1), 1-10. Diakses pada 30 januari 2023, dari https://journal.unnes.ac.id/sju/index.php/ujm/ article/view/28993.

Hakim, L., (2016): Model Goal Programming dan Pengoptimuman Taklinear pada Penjadwalan Perawat. Journal of Mathematics and Its Applications, 15(1), 23-32. Diakses pada 30 januari 2023, dari https://jurnal.ipb.ac.id/index.php/jmap/article/view/20042.

Husen, A., (2008):Manajemen Proyek, Penerbit: Andi Yogyakarta.

Jeumard, B., (1998). A genereralized linear programming model for nursescheduling 107: 1-18, European Journal of Operation Research. Diakses pada 26 januari 2023, dari https://mx2.atmajaya. ac.id/index.php/metris/article/view/3896.

Khan, M. F., Hasan, M. G., Quddoos, A., Fügenschuh, A., & Hasan, S. S. (2020): Goal programming models with linear and exponential fuzzy preference relations. Diakses pada 26 januari 2023, dari Symmetry, 12(6), 934. https://www.mdpi.com/2073-8994/12/6/934.

Kurnia, N. S., Septiawan, D., & Anggraeni, N. F. (2020): Analisis Masalah Transhipment Menggunakan Software Lingo di PT SBT. Jurnal Ilmiah Teknologi Informasi Terapan, 6(2), 94-99. Diakses pada 26 januari 2023, dari https://journal.widyatama.ac.id/index.php/jitter/article/view/369.

Lesmana, E., & Herdyati, M. (2019): Penjadwalan Perawat IGD Rumah Sakit Umum Daerah Kota Bandung Menggunakan Metode Goal Programming. Teorema: Teori Dan Riset Matematika, 4(2), 99-110. Diakses pada 26 januari 2023, dari https://jurnal.unigal.ac.id/index.php /teorema/article/view/2468.

LINGO, S. I. (2008). LINGO User’s Guide. Illinois : LINGO Systems Inc.

Maloky, M. M., Mangobi, J. U., & Maukar, M. G. (2022). Preemptive Goal Programming untuk Penjadwalan Perawat di Ruang ICU. MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi, 3(1), 49-56. Diakses pada 26 januari 2023, dari https://ejurnal-mapalus-unima.ac.id/index .php/marisekola/article/download/2414/1853.

Manuaba, (2000): Hubungan Beban Kerja Dan Kapasitas Kerja. Jakarta: Rineka Cipta.

Marchelia, V. (2019). Stres kerja ditinjau dari shift kerja pada karyawan. Jurnal Ilmiah Psikologi Terapan, 2(1), 130-143. Diakses pada 26 januari 2023, dari https://ejournal.umm.ac.id/index.php/jipt/article/view/1775.

Mohammadian, M., Babaei, M., Amin Jarrahi, M., & Anjomrouz, E. (2019). Scheduling nurse shifts using goal programming based on nurse preferences: a case study in an emergency department. International Journal of Engineering, 32(7), 954-963. Diakses pada 26 januari 2023, dari https://www.ije.ir/article_87117.html.

Mwachofi, A., Walston, S. L., & Al‐Omar, B. A. (2021). Factors affecting nurses' perceptions of patient safety. International journal of health care quality assurance. Diakses pada 26 januari 2023, dari https://www. emerald.com/insight/content/doi/10.1108/09526861111125589/full/html

Mulyono,S., (1991): Operation Reseach, Fakultas Eonomi Universitas Indonesia.

Najimi, A., Goudarzi, A. M., & Sharifirad, G. (2017). Causes of job stress in nurses: A cross-sectional study. Iranian journal of nursing and midwifery research, 17(4), 301. Diakses pada 26 januari 2023, dari https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3702151/.

Nasendi (1985): Program Linier dan Variasinya. Jakarta: Gramedia.

Purba, S. D., A.F., (2020): Integer Programming Dengan Metode Branch And Bound Dalam Optimasi Jumlah Produksi Setiap Jenis Roti Pada PT. Arma Anugerah Abadi. Jurnal Karismatika, 6(03), 20-29. Diakses pada 12 januari 2023, dari https://digilib.unimed.ac.id/id/eprint/41465.

Riggio R.E., (1990): Introduction To Industrial And Organization Psychology London: Scott, Forestman And Company.

Rustiana, E. R., & Cahyati, W. H. (2022). Stress kerja dengan pemilihan strategi coping. KEMAS: Jurnal Kesehatan Masyarakat, 7(2), 149-155. Diakses pada 12 januari 2023, dari https://journal.unnes.ac.id/nju/index.php/ kemas/article/view/2811.

Saragih, H. (2019). Penerapan Model Goal Programming Pada Masalah Penjadwalan Perawat Di RSUD Dr. Pirngadi Kota Medan (Doctoral dissertation, Universitas Negeri Medan). Diakses pada 12 januari 2023, dari https://digilib.unimed.ac.id/id/eprint/36664.

Siregar, P. M., (2015): Optimisasi Penjadwalan Perawat Dengan Goal Programming: Sebuah Studi Kasus Di Rumah Sakit Umum Padang sidimpuan. Semirata, 1(1). Diakses pada 12 januari 2023, dari https://jurnal.untan.ac.id/index.php/semirata2015/article/view/14101

Supranto, J., (1980): Linear Programing. Jakarta. FE Universitas Indonesia.

Taha, H., (2017): Operations Research An Introduction 10th edition. Pearson Education.