using markov chain to analyze production lines systems with layout constraints

there are some problems with estimating the time required for the manufacturing process of products, especially when there is a variable serving time, like control stage. these problems will cause overestimation of process time. layout constraints, reworking constraints and inflexible product schedule in multi product lines need a precise planning to reduce volume in particular situation of line stock. in this article, a hybrid model has been presented by analyzing real queue systems with layout constraints as well as by using concepts and principles of markov chain in queue theory. this model can serve as benchmark to assess queue systems with probable parameters of service. here, the proposed model will be described drawing on the findings of a case study. thus, production lines of a home application manufacturer will be analyzed.