The augmented semi-Markov system and its asymptotic behaviour

✍ Scribed by V. A. Dimitriou; N. Tsantas

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 157 KB
• Volume: 27
• Category: Article
• ISSN: 1524-1904
• DOI: 10.1002/asmb.860

✦ Synopsis

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.