المستخلص: |
This paper focuses on the problem of congestion at an Emergency Department in one of local hospitals in Kingdom of Saudi Arabia and the inability to have queue line management in place as well as an increase of pressure and overload on the server units. These are important problems which was addressed and discussed from queuing theory prospective to understand it in order to reach to an optimum solution to achieve system stability and prevent losses such as time, costs, the organization’s reputation and most importantly is preventing the loss of patients’ life’s which could be catastrophic. The study is based on a number of trials conducted on the selected model (single queue line model with multiple servers, finite system capacity and infinite population size which is fits the case) by modifying and improving its properties and then produced a collection of new models, then examined it to reach to the best queuing model with the optimum number of servers that reduced the patients’ waiting time significantly. The decisions were verified after finding that the models’ probabilities reached to stability situation in the stage of optimum model, also by obtaining patient’s actual delay and potential delay through the simple queue-length-based delay estimator for abandonment patients and conduct a comparison between both delays. A special program developed by using programming language to obtain the main parameters for the emergency department system after it was calculated manually such as, arrival rates, service rates, total service time, inter-arrival times and others.
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