The Setting And Optimization Of Quick Queue

Queuing theory is an important branch of operations research and a research direction that is very close to real life.In a service system,because of the resource cost limitation,queuing at the peak of the flow of people is very common,which may reduce the satisfaction of the customer's consumption experience.This paper studies that the rational setting of quick queues to improve customer satisfaction.After clarifying the research background,significance,content and methods,the paper gives a detailed review of relevant literatures,and analyzes the current research status and existing problems of queuing theory.Then considering customer waiting time and customer loss,we separately give two ways to rationalize the distribution of the serves.For the case of comparing the waiting time of customers as the standard of customer satisfaction,the paper considers that customer arrival is a peak and post-peak period,and establishes a fluid model of queuing behavior.In order to reduce the sum of waiting time of customers,we study the method of the setting and optimization of quick queue in a random service system.Under the premise of the total number of service equipment,we construct two queuing models,with one including only common queues and the other including both common and quick queues,and propose the formulas for calculating the sum of the waiting time of the two models.Then,we analyze the effect of quick queue on service system performance in the two cases of peak and post-peak periods.And we present the method for calculating the number of quick queues that gives the best overall system performance.Research shows that by reasonably setting the number of quick serves,the total waiting time of customers can be reduced while ensuring the same resource cost,thereby improving customer satisfaction and optimizing resource utilization.The study further considers that at the peak of the service system,due to resource cost and service level constraints,customers may hesitate and even leave in the face of inevitable queues,which will not only affect customer satisfaction,but also cause losses of enterprises.Therefore,in order to reduce the number of customer losses,this paper studies the setting and optimization methods of quick queues in stochastic service systems.Under the premise that the total number of serves is unchanged,we establish an optimized fluid model of customer queuing behavior,and give a calculation method for customer loss.Then,the paper compares and analyzes the impact of the quick queues on the performance of the service system during peak period,gives the objective function of different intervals.We obtain the calculation method and optimal value of the number of quick queues that can minimize the number of customer losses in a service system.This part of the research is that from the enterprise point of view,through the reasonable setting of the number of quick serves,under the constraints of resource costs,we minimize the number of customer losses due to queuing to achieve optimal use of resources.Finally,the effectiveness of the two allocation methods proposed in the paper is verified by an example,which shows its reference value for management practice.