Application of Markov Chain and Network theory

Labor is one of the key resources in any institution that if managed well can lead to increased productivity. Regular evaluation of existing structures and policies is necessary to avoid wastage and stagnation. A lot of work has been done in analysis of manpower systems using Markov models and other models such as computer simulation models, optimization models, supply chain models and colonic models. In this study Markov Chain theory has been integrated with network theory in evaluating effective administration of the current schemes of service for teachers by the Teachers Service Commission in Kenya. Ecosystem indicators applicable to a hierarchical system are used to assess the growth and development of the teacher progression system.Markov chain theory facilitates computation of the elements of the export compartments of the flow matrix while network theory goes beneath the surface to reveal features about the manpower system that arise from its underlying structure.