Analysis Of Optimal Balking Strategics For Customers In The M/G/1Queue With General Service And Vacation Times

Compared with the classic queue system, vacation queue, an independent features di-rection in the queueing theory, is a broader and more complex queuing system. Queueing systems with vacations mainly deal with situations where the servers may be unavailable for serving customers over some intervals of time which often incurred in real applications. Therefore, vacation queues provide many new subjects for scientific research in queueing theory. Game theory is a mathematical theory and a method of studying the phenomenon which has the competitive nature. It is analysis the optimization strategy of the study ob-ject. In other words, it refers to a process that an individual or organization select strategies and implement them relying on the information they have mastered to obtain the earnings under the established rule-bound. It has been brought into play in many subjects such as in computer science, biology, military strategy, economics and so on.Studying the joining-balking dilemma in queueing systems with vacations from an e-conomic point of view seems to be a recent endeavor, which combines the management and mathematical theories and uses the existing results in queuing theory and game theory to seek equilibrium strategies about customers and service organizations, enrich the existing theoretical research and provide a new theoretical foundation and analytical methods. In this paper, I identify equilibrium strategies of customers and socially optimal strategies in the Geom/G/1queue and M/G/1queue with vacation and expect to establish reasonable poli-cies and interests of the coordination mechanism for the service industry from the customer’s point of view.