The augmented semi-Markov system and its asymptotic behaviour
Article first published online: 4 NOV 2010
Copyright © 2010 John Wiley & Sons, Ltd.
Applied Stochastic Models in Business and Industry
Volume 27, Issue 5, pages 519–530, September/October 2011
How to Cite
Dimitriou, V. A. and Tsantas, N. (2011), The augmented semi-Markov system and its asymptotic behaviour. Appl. Stochastic Models Bus. Ind., 27: 519–530. doi: 10.1002/asmb.860
- Issue published online: 18 OCT 2011
- Article first published online: 4 NOV 2010
- Manuscript Revised: 24 JUN 2010
- Manuscript Accepted: 24 JUN 2010
- Manuscript Received: 11 DEC 2008
- 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. Copyright © 2010 John Wiley & Sons, Ltd.