Using hybrid model with probability parameters to analysis queuing systems with layout constraints

Manufactures and service provider institutes usually need queue theory to optimize their decisions about customers' waiting time. This will help them to specify resources that should be investigated and to provide customers' satisfaction. These two factors, resource allocation and customer satisfaction are so important for companies' survival essentially in a highly competitive environment. So describing queue systems performance in different environmental conditions is necessary. In this paper by analyzing actual queuing systems with layout constraints, a framework is introduced for specific conditions by using Markov chain concepts. This model can be a base for evaluating exponential queue systems with probability parameters. In this paper by providing a case study, it is tried to describe the proposed model. To do this, filling stations are analyzed in Tehran city.