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AN FM/M/c INTERDEPENDENT STOCHASTIC FEEDBACK ARRIVAL MODEL OF TRANSIENT SOLUTION AND BUSY PERIOD ANALYSIS WITH INTERDEPENDENT CATASTROPHIC EFFECT
Keywords:
interdependent feedback arrival rate, interdependent catastrophic effect, generating functions, Laplace transform, infinite capacityDOI:
https://doi.org/10.17654/0972361723014Abstract
In this paper, we consider the transient solution of an interdependent stochastic feedback arrival model with a feedback arrival rate, multiple servers with identical service rates, and an interdependent catastrophic effect. The transient solution for interdependent stochastic feedback arrival is derived for this model. Asymptotic behaviour of expected length for faster and slower rates of feedback arrivals is derived. The analytical results are numerically illustrated using Maple software. The effect of the nodal parameter on the system characteristics is studied.
Received: October 9, 2022; Revised: January 31, 2023; Accepted: February 2, 2023; Published: February 13, 2023
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