Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city

Abstract

In this research we have dealt with the number of customers (cars) arrive at Periodic vehicles Inspection (PVI) company in Erbil city according to poisson process, service time follows an exponential distribution and the number of cars that require repair following a binomial distribution with a certain probability.

In this work the basic concepts of queueing theory are defined and the poisson queue model with multichannel homogeneous parallel servers in terms of steady state is derived.

In order to achive the objectives of this research, the data about the failure car components as (Tires, Lights, Brakes and Engine) which are inspected by PVI company are obtained From Erbil traffic directorate, from the available data. the probabilities of the failure car components (Tires, Lights, Brakes and engine), the probability of the number of cars in the system, the probability of the number of cars that require repair and they will return to the system are defined, also the measures of performance of the queuing system are determined.