Ⅰ Introduction& problem definition
The queue phenomenon in the banking offices is either a normal or a boring issue that should be solved properly in order to keep the clientele resources. The student always lined up in school campus bank. It is a familiar phenomenon in PolyU daily.
In operational research, the queuing theory is a very popular topic. It is widely used in some industries, such as computer network, logistics industry etc.(Wikipedia, 2013).
There is a series of models constructed, and the models may predict the queue length and waiting time(Sundarapandian, 2009).
Based on the queuing theory, some scholars have discussed the general area in service system. Taufemback and Da Silva published an article based on queuing theory in
2011, they provided a new method to calculate the excess reserves by estimate the total number of customers in bank service system(Taufemback and Da Silva, 2011). It introduced a good M/M/Z model for the bank service system which can also describe the service system in HangSeng bank. Coincidentally, Lin also did a research for bank in 2003. It discussed the bank service system by queuing theory. But he mainly focus on the statistical data to calculate the cost of queuing problem(Lin, 2010).
The literatures support that the queuing theory worked well enough to explain the queuing problem in bank. So the topic will the queuing problem in HangSeng Bank in
PolyU. The project aims to understand this phenomenon by the queuing theory.After observation, the HangSeng Bank takes M/M/Z model as queue method, whether the system is reasonable need to be analyzed and discussed.Under the condition of the constant service rate, what is the maximum capacity of service ability? According to the different customers’ arrive rate, simulating the relationship between queue length and average waiting time, providing the possible suggestion for customers’ decision.
Ⅱqueuing theory and model analysis
A. Queuing Theory:
Queuing