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.