Review on Queueing Problem in Healthcare


  • Hajar Ariff
  • M Ghazali Kamardan
  • Suliadi Sufahani
  • Maselan Ali





Healthcare, Scheduling, Simulation, Queueing.


This article shows the application of queueing, simulation and scheduling used in the field of healthcare. A summary of queueing, simulation and scheduling theory used in waiting time, appointment system and patient flow are summarised in this article. Different departments in the healthcare system are also considered in this article such as emergency department, outpatient department and the pharmacy. The aim is to provide the reader a general background into queueing, simulation and scheduling in the healthcare.


[1] Obulor R & BO Eke (2016), Outpatient Queueing Model

Development for Hospital Appointment System. International Journal of Scientific Engineering and Applied Science (IJSEAS) 2(4), 15-22.

[2] Afrane S & Appah A (2014), Queueing Theory and The Management of Waiting-time in Hospitals: The Case of Anglo Gold Ashanti Hospital in Ghana. International Journal of Academic Research in Business and Social Sciences 4 (2), 34-44.

[3] Vass H & Szabo ZK (2015), Application of Queuing Model to Patient Flow in Emergency Department: Case Study. Procedia Economics and Finance 32, 479-487.

[4] Mardiah FP & Basri MH (2013), The Analysis of Appointment System to Reduce Outpatient Waiting Time at Indonesia’s Public Hospital. Human Resource Management Research 3(1), 27-33.

[5] Aziati AHN & Salsabilah HN (2018), Application of Queueing Theory Model and Simulation to Patient Flow at The Outpatient Department. Proceedings of The International Conference on Industrial Engineering and Operations Management, 3016-3028.

[6] Ahmad N, Ghani NA, Kamil AA, Tahar RM (2015), Modelling the complexity of emergency department operations using hybrid simulation. Internat J. Simul. Process Model 10(4), 360-371.

[7] Laguna M & Marklund J (2005), Business Process Modeling, Simulation and Design. Pearson Prentice Hall.

[8] Alhaag MH, Aziz T & Alharkan IM (2015). A Queueing Model for Health Care Pharmacy using Software Arena. Proceedings of the 2015 International Conference on Industrial Engineering and Operations Management Dubai, United Arab Emirates (UAE).

[9] Bahadori M, Mohammadnejhad SM, Ravangard R & E.Teymourzadeh (2014), Using Queueing Theory and Simulation Model to Optimize Hospital Pharmacy Performance. Iran Red Crescent Med J. 16(3), 1-7.

[10] Hossain NU, Khasawneh M & Jaradat R (2017), Reducing Patient Waiting Time in an Outpatient Clinic: A Discrete Event Simulation (DES) Based Approach. Proceedings of the 2017 Industrial and Systems Engineering Conference.

[11] Lade IP, Chowriwar SA & Sawaitul PB (2013), Simulation of Queueing Analysis in Hospital. International Journal of Mechanical Engineering and Robotics Research 2(3),122-128.

[12] Schultz J & Claudio D (2014), Variability Based Surgical Scheduling: A Simulation Approach. Proceedings of The 2014 Winter Simulation Conference, 1353-1364.

[13] Bhattacharjee P & Ray PK (2016), Simulation Modelling and Analysis of Appointment System Performance for Multiple Classes of Patients in a Hospital: A Case Study (8),71-84.

[14] Nainggolan JCT & Kusumastuti RD (2018), Scheduling Nurses’ Shifts at PGI Cikini Hospital. IOP Conf. Series: Materials Science and Engineering 332, 1-7.

[15] Sufahani S & Ismail Z (2014), A Real Scheduling Problem for Hospital Operation Room. Applied Mathematical Sciences 8(114), 5681-5688.

[16] Bruballa E, Wong A & Epelde F (2017), Scheduling Model for Non-Critical Patients Admission into A Hospital Emergency Department. Proceedings of The 2017 Winter Simulation Conference, 2919-2928.

[17] Shamia O, Aboushaqrah N & Bayoumy N (2015), Physician On Call Scheduling: Case of a Qatari Hospital. IEEE.

[18] Pang B, Xie X, Song Y & Luo L (2018), Surgery Scheduling Under Case Cancellation and Surgery Duration Uncertainty. IEEE: Transactions on Automation Science and Engineering, 1-13.

[19] Jayeola D, Ismail Z, Sufahani SF & Manliura DP (2017), Optimal method for investing on assets using black litterman model. Far East Journal of Mathematical Sciences 101(5), 1123-1131.

[20] Sufahani SF & Ismail Z (2014), The statistical analysis of the prevalence of pneumonia for children age 12 in west Malaysian hospital. Applied Mathematical Sciences 8(113-116), 5673-5680.

[21] Sufahani SF, Che-Him N, Khamis A, Rusiman MS, Arbin NA C. K. Yee, I. N. Ramli, N. A. Suhaimi, S. S. Jing & Z. A. Azmi, (2017), Descriptive statistics with box-jenkins and marketing research for jewellery company in Malaysia. Far East Journal of Mathematical Sciences 101(10), 2151-2161.

[22] Sufahani SF & Ahmad A (2012), A comparison between normal and non-normal data in bootstrap. Applied Mathematical Sciences 6(89-92), 4547-4560.

[23] Rusiman MS, Hou OC, Abdullah AW, Sufahani SF & Azmi NA (2017). An analysis of time series for the prediction of barramundi (Ikan Siakap) price in Malaysia. Far East Journal of Mathematical Sciences 102(9), 2081-2093.

[24] Ismail Z, Abu N & Sufahani S (2016), “New product forecasting with limited or no dataâ€, AIP Conference Proceedings 1782 (050009).

[25] Kamardan MG, Sufahani S, Othman MZM, Che-Him N, Khalid K, Roslan R, Ali M & Zaidi AMA (2018), A Mathematical Model Development for the Lateral Collapse of Octagonal Tubes. Journal of Physics: Conference Series 995(1).

[26] Sufahani S, Kamardan MG, Rusiman MS, Mohamad M, Othman MZM, Khalid K, Ali M & Nawawi MKM (2018), A Mathematical Study on additive Technique Versus branch and Bound Technique for Solving Binary Programming Problem. Journal of Physics: Conference Series 995(1).

[27] Kamardan MG, Aminudin N, Che-Him N, Sufahani S, Khalid K & Roslan R (2018) Modified Multi Prime RSA Cryptosystem. Journal of Physics: Conference Series 995(1).

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