A Comparison of Single Server and Multiple Server Queuing Models in Different Departments of Hospitals

Abstract

Queuing theory is the branch of Operations research in applied mathematics and deals with phenomenon of waiting lines. Queuing theory is concerned with the mathematical modeling and analysis of systems which provides service to random demands. In this paper, we have focused the applications of queuing theory in the field of healthcare (hospital) i.e. one of the biological paradigm. The health systems should have an ability to deliver safe, efficient and smooth services to the patients. We considered different departments of health care sector such as patient’s registration department, outpatients department and pharmacy department and also observed different processes in the system by queuing models. Different queues and numbers of servers involved in the processes are also observed by using appropriate probability distributions. The arrival process calculated by exponential distributions and service process is measured by Poisson distributions. Single server M/M/1 and multiple server queuing models M/M/2 are used in order to analyze queuing parameters and performance measures of the system. Queuing analysis is done by using queuing simulation technique in order to compute the values of unknown parameters and performance measures. Besides this, strength of relationship between different performance measures is calculated.