The augmented semi-Markov system and its asymptotic behaviour

作者：Dimitriou V A; Tsantas N^*

来源：Applied Stochastic Models in Business and Industry, 2011, 27(5): 519-530.

DOI：10.1002/asmb.860

• semi-Markov processes (60K15, 60K20)
• manpower planning (90B70)

This paper suggests a generalized semi-Markov model for manpower planning, which could be adopted in cases of unavailability of candidates with the desired qualifications/experience, as well as in cases where an organization provides training opportunities to its personnel. In this context, we incorporate training classes into the framework of a non-homogeneous semi-Markov system and we introduce an additional, external semi-Markov system providing the former with potential recruits. For the model above, referred to as the Augmented Semi-Markov System, we derive the equations that reflect the expected number of persons in each grade and we also investigate its limiting population structure. An illustrative example is provided.

• 出版日期2011-10