Equilibrium Behavior Of Two Types Of Customers With Priority

With the continuous improvement of people's quality of life and the continuous progress of modern science and technology,more and more people are reluctant to waste time on waiting.As a result,many industries(such as banks,hospitals,post offices,etc.)begin to introduce priority to their services.This leads to the existence of two types of customers with priority and no priority in the system,and the research on queuing of priority rights arises at the historic moment.The first part introduces the origin and development of the status quo of queuing theory and the priority queue;the second part gives the quantitative index of common M/M/1 queuing system and M/M/1 with preemptive priority queuing system;the same kind of customers mainly consider the third part after arriving,due to the delay of different sensitivity,some customers choose to buy priority,priority of the right,and the remaining customers will choose to wait.The fourth part of the study is the equilibrium behavior of two different types of customers reaching the system with different arrival rates and the company pricing strategy.The research content is divided into three steps,first introduces the related knowledge about priority queuing,and given the time waiting for priority queue length based on performance index,length of stay and other important,and on this basis,reasonable assumptions of each kind of customer obtained after completing service revenue,and then construct the utility function.Enter the maximum rate of two kinds of customers obtain the system can accommodate the.Secondly,according to the relationship between the potential arrival rate of the priority customer and the maximum customer arrival rate and the total arrival rate that the system can accommodate,the equilibrium arrival rate of the customer is given,and then the equilibrium behavior of the customer is analyzed.Finally,combined with customer equilibrium behavior,we analyze the relationship between company pricing and the potential arrival rate of customers,and finally give the optimal pricing strategy corresponding todifferent parameters.It has been found that the potential market structure plays a vital role in the decision of the customer and the company.As a result,customers and companies must be fully aware of the potential market structure before making decisions.Different system parameters may lead to a different company pricing strategy.The fourth part of the article is to promote the content of this article.In this part,the article is mainly based on the M/G/1 queuing model.The main research methods are consistent with the methods used in second and third articles.Finally,the equilibrium behavior of two types of customers based on M/G/1 queuing is obtained.