Sharif University of Technology Scientia Iranica 1026-3098 31 14 2024 08 01 Analysis of Stationary Fluid Queue Driven by State-Dependent Birth-Death Process Subject to Catastrophes 1149 1158 22874 10.24200/sci.2022.57036.5030 EN S. I. Ammar Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Egypt S. K. Samanta Department of Mathematics, National Institute of Technology Raipur Raipur-492010, Chhattisgarh, India N. M. Kilany Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Egypt T. Jiang College of Economics and Management, Shandong University of Science and Technology, Qingdao-266590, Shandong, China Journal Article 2020 10 21 This paper investigates an infinite buffer capacity fluid queueing model driven by a state-dependent birth-death process prone to catastrophes. We employ the Laplace-Stieltjes transform and the continued fraction techniques to determine explicit expressions for the joint probability of the number of customers in the background queueing model and the content of the buffer in the steady state. The importance of the proposed system is that, in numerous practical situation, the service facility possesses defence mechanisms versus long waiting lines. The servers may increase their rate of service under the pressure of a large backlog of work. Therefore, it is of interest to discuss queueing systems taking into regard the state dependent nature of the systems. For example, the congestion control mechanisms deny the formation of long queue in computer and communication systems by controlling the transmission rates of packets based on the queue length (of packets) at source or destination. Numerical illustrations are added to uphold the theoretical results. https://scientiairanica.sharif.edu/article_22874_fa6ce1b70fea81af99a4a77339e20861.pdf