**Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time Distribution**

#### **Evsey Morozov 1,2,3,†, Michele Pagano 4,† and Irina Peshkova 1,\*,†,‡ and Alexander Rumyantsev 1,2,†**


Received: 9 June 2020; Accepted: 24 July 2020; Published: 3 August 2020

**Abstract:** The motivation of mixing distributions in communication/queueing systems modeling is that some input data (e.g., service time in queueing models) may follow several distinct distributions in a single input flow. In this paper, we study the sensitivity of performance measures on proximity of the service time distributions of a multiserver system model with two-component Pareto mixture distribution of service times. The theoretical results are illustrated by numerical simulation of the *M*/*G*/*c* systems while using the perfect sampling approach.

**Keywords:** pareto mixture distribution; multiserver system; uniform distance; perfect simulation
