Research On Equilibrium Strategies Of Fluid Queueing Model

With the rapid development of information technology,the surge of “customers” has become a common phenomenon in some industries,such as: excessive information in network information transmission,too many products in pipeline manufacturing,etc.As the time interval between customers arriving in the system becomes smaller and the arrival rate becomes faster,the discrete customers are getting closer to continuous fluid,so the fluid queueing research is carried out.In order to avoid system congestion and meet the profit demand of customers and decision makers,the paper introduces a series of strategies into the fluid queueing model,such as working vacation,setup time,threshold mechanism and On-off.The customer individual equilibrium balking strategy and the equilibrium strategy of social benefits per unit of time are studied from the perspective of economics.Firstly,assuming the vacation and busy period appear alternately in a fluid queueing model with working vacation.The benefits utility function is expressed as the index form of sojourn time and average fluid level.Based on the above conditions,the equilibrium strategies of individual and maximum social benefits per unit time are discussed,in the case of fully observable and almost observable.Secondly,economic analysis of fluid queueing model with setup time and interruptible vacation was conducted.The balking strategies of individual benefits and optimal social benefits per unit time were studied,in both fully observable and almost observable cases.Thirdly,the equilibrium strategies in fluid models with threshold mechanism and variable service rate under threshold mechanism are studied respectively.Due to the complexity of the function of social benefits,the numerical analysis was used to discuss the equilibrium strategies.And the effects of and other parameters on social benefits are compared.Finally,On-off fluid queueing model is studied.Individual equilibrium strategies and social benefits per unit time are discussed separately in the case of completely unobservable and almost unobservable.And analyzed the strategies to optimal the social benefits per unit time.