Mathematical Statistician and Engineering Applications ISSN: 2094-0343 2326-9865 3661 Vol. 71 No. 4 (2022) http://philstat.org.ph Single Server Queueing Model with Catastrophe, Restoration and Partial Breakdown M. Seenivasan 1,a) R. Ramesh 2,b) and F. Patricia 3,c) 1 Mathematics Wing –DDE, Annamalai University, Annamalainagar, India. 2 Department of Mathematics, Arignar Anna Govt. Arts College, Musiri - 621211, Tamilnadu, India. 3 Research scholar, Department of Mathematics, Annamalai University, Annamalainagar, India. a) Corresponding Author: emseeni@yahoo.com b) rameshsanju123@gmail.com c) jermypriyan@gmail.com Article Info Page Number: 3661 - 3685 Publication Issue: Vol 71 No. 4 (2022) Article History Article Received: 25 March 2022 Revised: 30 April 2022 Accepted: 15 June 2022 Publication: 19 August 2022 Abstract In this article, we have considered an M/M/1/N model with catastrophe, restoration and breakdown. The server works with the slower rate of service during partial breakdown. The number of times the system attains its capacity has been analyzed through matrix geometric method and some performance measures are obtained and numerical illustrations are also presented. Keywords: Catastrophe, Restoration, Working Breakdown, Repair, Matrix Geometric Method. 1. Introduction: In many real life situations, queues are often seen and it has various applications in different fields. The term catastrophe is a sudden destruction. When a queue undergoes catastrophe, all the customers are removed from the system. So, the system is in the position to regain its state. Moreover, the system takes its time to accept new customers which is referred as restoration time. Chao(1995) had studied A queueing network model with catastrophes and product from solution. Balasubramanian (2015) has