GAUGING PERFORMANCE OF A QUEUING SYSTEM USING MULTI-SERVER WAITING LINE MODEL (M/M/S): AN INVESTIGATION ON A LOCAL HOSPITAL’S OUTPATIENT DEPARTMENT
DOI:
https://doi.org/10.11113/jt.v78.8987Keywords:
Healthcare, multiple-server waiting line model, queuing systemAbstract
Healthcare is a fast growing industry demanding perfection, top notch services and optimal utilization of available resources. Despite shortages in doctors and nurses as well as frequent overcrowding, the number of incoming patients to the government hospitals is increasing every year. The outpatient department in Malaysian Government hospitals is consistently experiencing frequent congestion particularly in the morning. The challenge for hospital administrators is to rightly and timely allocate resources in relevant departments. Henceforth, this study aims to further gauge the performance of an outpatient department in a local hospital in Kedah. In particular, it aims to investigate the current efficiency level of a queuing system of the said department and to propose potential solutions. The study uses Multi-server Queuing Models (M/M/s) to measure the performance of the waiting line. A computational work is then presented to value the operating characteristics of the model. The findings exhibit the performance of existing queuing system and the need to re-examine the number of doctors on duty. In all, the study may be beneficial as a decision making aid to the administrator of the outpatient department particularly to re-look and improve existing queuing system in tandem with the center’s commitment for better customer satisfaction and minimal patients’ turnover.
References
Zhu, H., Tang, J., and Gong, J. 2013. Nurse Staff Allocation in a Multi-stage Queuing System with Patients’ Feedback Flow for an Outpatient Department. iBusiness. 5(03): 90.
Garba, S. J., Ebenehi, O. E., and Ademola, O. G. 2013. The Application Of Waiting Line Management On The Operations Of Public Sector Organizations: The Kogi State Health Sector Experience. International Journal of Research in Business and Technology. 3(3): 2291-2118.
Singh, A. R., and Gupta, S. K. 2014. Study Of Patient Waiting Time At Emergency Department Of A Tertiary Care Hospital In India. International Journal of Innovative Research and Review. 2(2): 42-46.
Boucherie, R. J. and Van Dijk, N. M. 2011. Modeling a Hospital Queueing Network. International Series in Operations Research & Management Science. 154: 767-798.
Kokkinou, A. and Cranage, D. A. 2015. Why Wait? Impact Of Waiting Lines On Self-Service Technology Use. International Journal of Contemporary Hospitality Management. 27(6).
Aguilar, J. A. H., Mayo, A. R. P. and Osorio, F. C. 2015. Analysis and Diagnosis of Queue Lines in a Drugstore of the IMSS Clinic-Hospital in The City of Cuernavaca. Weber Business Management. 1(2).
Takagi, H. 2014. From Computer Science To Service Science: Queues With Human Customers And Servers. Computer Networks. 66: 102-111.
Xing, Y., Li, L., Bi, Z., Wilamowskaâ€Korsak, M., and Zhang, L. 2013. Operations Research (OR) In Service Industries: A Comprehensive Review. Systems Research and Behavioral Science. 30(3): 300-353.
Ngamsirijit, W. 2012. Using Queuing Theory For Evaluating Flexibility Performance In Banking Services. International Journal of Services and Operations Management. 12(4): 387-404.
Afrane, S., and Appah, A. 2014. Queuing 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.
Chandra, D. 2015. Reducing Waiting Time of Outdoor Patients in Hospitals Using Different Types of Models: A Systematic Survey. International Journal of Advanced Research and innovation. 3(1): 81-87.
Zhu, H., Chen, D., Gong, J., and Tang, J. 2014. Optimal Patient Routing Policies At Diagnosis-Stage In Outpatient Department Non-Preemptive Queues. In Control and Decision Conference (2014 CCDC) IEEE. 2203-2207.
Wijewickrama, A. K. A. 2006. Simulation Analysis For Reducing Queues In Mixed-Patients’ Outpatient Department. International Journal Of Simulation Modelling. 5(2): 56-68.
Harper, P. R., and Gamlin, H. M. 2003. Reduced Outpatient Waiting Times With Improved Appointment Scheduling: A Simulation Modelling Approach. OR Spectrum. 25(2): 207-222.
Brahimi, M. and Worthington, D. J. 1991. Queueing Models For Out-Patient Appointment Systems--A Case Study. Journal of the Operational Research Society. 733-746.
Wu, X. D., Khasawneh, M. T., Yue, D. M., Chu, Y. N., and Gao, Z. T. 2014. A Simulation Study Of Outpatient Scheduling With Multiple Providers And A Single Device. International Journal of Computational Intelligence Systems. 7(sup2): 15-25.
Jackson, R. R. P., Welch, J. D., and Fry, J. 1964. Appointment Systems In Hospitals And General Practice. Operations Research. 15: 219–237.
Barnes, C., Benson, C., and McGuinness, D. 1997. Success Stories in Simulation in Health Care. In S. Andradóttir, K. J. Healy, D. H. Withers, and B. L. Nelson (eds.). Proceedings of the 1997 Winter Simulation Conference. 1280-1285.
Pillay, Ir. M.S., Roslan Johari Dato Mohd Ghazali, R., Hazilah Abd Manaf, N., Hassan Asaari Abdullah, A., Abu Bakar, A., Salikin, F., Umapathy, M., Ali, R., Bidin, N and Wan Ismefariana, W. I. 2011. Hospital Waiting Time: The Forgotten Premise Of Healthcare Service Delivery? International Journal Of Health Care Quality Assurance. 24(7): 506-522.
Ganasegeran, K., Perianayagam, W., Abdul Manaf, R., Ali Jadoo, S. A., and Al-Dubai, S. A. R. 2015. Patient Satisfaction in Malaysia’s Busiest Outpatient Medical Care. The Scientific World Journal.
The Malaysian Medical Gazette. 2014. [online]. http://www.mmgazette.com/making-space-at-hospitals-kkm-health-dg-malaysia-datuk-dr-noor-hisham-abdullah/.
Russel, R. S. and Taylor, B. W. 2010. Operation Management 7th ed. Asia: John Wiley & sons (Asia). Pte Ltd.
Brown, A. J., and Badurdeen, F. 2013. A Queuing Model For Systems With Rework And Process Downtime. In Automation Science and Engineering (CASE). 2013 IEEE International Conference on IEEE. 789-794.
Mustafa, S., and Nisa, S. 2015. A Comparison of Single Server and Multiple Server Queuing Models in Different Departments of Hospitals. Journal of Mathematics. 47(1): 00-00.
Chowdhury, M. S. R., Rahman, M. T., and Kabir, M. R. 2013. Solving Of Waiting Lines Models In The Bank Using Queuing Theory Model The Practice Case: Islami Bank Bangladesh Limited, Chawkbazar Branch. Chittagong. Journal of Business and Management. 10(1): 22-29.
Qureshi, M. I., Khan, A., and Zaman, K. 2013. Measuring Queueing System & Time Standard: Case Study Of Student Affair In University. International Journal of Applied Pharmaceutical Sciences and Bio Medical Sciences. 2(4): 248-259.
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