Abstract:

This paper makes an economic analysis of a complete fault fluid model with two types of customers and disaster arrival. Disaster arrival will empty the system and force customers to leave. Suppose that the arriving customers decide whether to enter or not according to the "benefit-loss" utility function. The system of linear differential equations is constructed, and the individual balking threshold and the social benefit function per unit time are obtained by using the matrix analysis method at both fully observable and almost observable levels of information. Finally, the influence of parameters on social benefit is discussed through numerical examples.

Key words: fluid model, two types of customers, disaster, complete failure, equilibrium analysis