Transient Solution of 𝑀𝑋/𝑀/𝐶 Queueing Model for Homogenous Servers, with Catastrophes, Balking & Vacation
G.Kavitha1, K.Julia Rose Mary2 

1G.Kavitha*, Assistant Professor Department of Mathematics, Rathinam College of Arts & Science, Coimbatore.
2K.Julia Rose Mary, Associate Professor Department of Mathematics, Nirmala College for Women, Coimbatore.
Manuscript received on December 05 , 2020. | Revised Manuscript received on December 15, 2020. | Manuscript published on December 15, 2020. | PP: 65-69 | Volume-5 Issue-4, December 2020. | Retrieval Number: 100.1/ijmh.L03250831219 | DOI: 10.35940/ijmh.L0325.125420
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Abstract: In this paper we analyze 𝑴𝑿/𝑴/𝑪 Queueing model of homogenous service rate with catastrophes, balking and vacation. Here we consider the customers, where arrival follow a poisson and the service follows an exponential distribution. Based on the above considerations, under catastrophes, balking and vacation by using probability generating function along with the Bessel properties we obtain the transient solution of the model in a simple way.
Keywords: Homogeneous servers, vacation, balking, catastrophes, Bessel function.