Using Markov chain and simulation to analysis and optimization production lines systems with layout constraints

There are some problems with estimating time of manufacturing process of products, especially when there is 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, needs a precise planning to reduce volume of line stock. In this article, by analyzing real queue systems with layout constraints and by using concepts and principles of Markov chain in queue theory, a hybrid model has presented. This model can be a base to assess queue systems with probability parameters of service. Here by presenting a case study, the proposed model will be described. To do this, with Optimization the layout of production lines of a home application manufacturer, results will be analyzed.