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The main problem that healthcare workers face in many hospitals is how long it takes patients to receive services. This tendency is becoming more prevalent, posing a threat to healthcare services. The repercussions of keeping people in a long line for medical care can result in a variety of issues, including death. The many server queuing models were utilized to examine the government hospital's service efficiency in this study. Over two weeks, primary data was collected at the hospital using observation and questionnaire methods to find the queuing model that minimizes patient waiting time. The findings revealed that most of the patients were dissatisfied with the hospital's queue management tactics. [ABSTRACT FROM AUTHOR]

The "Horizontal Y" shaped queuing model in which there is bulk infinite arrival of patients, but available M services are limited. The discrete flow of patients in the system is reduced in continuous flow and a diffusion equation is used. In terms of means and variances of inter-arrival time distribution, this process of the number of patients and the number of servers is used, imposing reflecting boundaries. The inspiration for this analysis came from Aradhye and Kallurkar [2], and Armony [3], who explained that hospitals are complex systems whose problems can be resolved utilizing queuing theory. The present paper deals with a double-ended queue in which patients wait in a queue for services. The discrete distribution equations for queue size with various cases have been derived. Finally, the expected length of the queue, i.e., LC and the expected finite server, i.e., LS have been derived. [ABSTRACT FROM AUTHOR]