On the Stochastic Theory of Compartments: The General Time-Dependent Two-Compartment Reversible System with an Application to Manpower Planning

In this paper a general time-dependent stochastic model for the analysis of the two-compartment reversible system with non-homogeneous Poisson inputs and arbitrary residence times in each of the compartments is presented. The transition probabilities are suitably modified in order to be useful for e...

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Veröffentlicht in:The Journal of the Operational Research Society. - Taylor & Francis, Ltd.. - 42(1991), 7, Seite 587-594
1. Verfasser: Agrafiotis, G. K. (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1991
Zugriff auf das übergeordnete Werk:The Journal of the Operational Research Society
Schlagworte:Manpower Planning Population Studies Renewal Theory Business Mathematics Behavioral sciences Economics
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100 1 |a Agrafiotis, G. K.  |e verfasserin  |4 aut 
245 1 0 |a On the Stochastic Theory of Compartments: The General Time-Dependent Two-Compartment Reversible System with an Application to Manpower Planning 
264 1 |c 1991 
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520 |a In this paper a general time-dependent stochastic model for the analysis of the two-compartment reversible system with non-homogeneous Poisson inputs and arbitrary residence times in each of the compartments is presented. The transition probabilities are suitably modified in order to be useful for estimation purposes of the parameters of the model. Various results are derived in terms of the distributions of the residence times only and are expressed in the form of convolution integrals which are readily evaluated by means of known computational algorithms. Finally, the theoretical results are applied to examples from the literature on manpower planning and some practical implications for the personnel and labour fields are considered. 
540 |a Copyright 1991 The Operational Research Society Limited 
650 4 |a Manpower Planning 
650 4 |a Population Studies 
650 4 |a Renewal Theory 
650 4 |a Business  |x Business administration  |x Human resources 
650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Stochastic models 
650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Probabilities  |x Transition probabilities 
650 4 |a Mathematics 
650 4 |a Behavioral sciences  |x Psychology  |x Cognitive psychology  |x Decision theory  |x Operations research 
650 4 |a Mathematics  |x Mathematical analysis  |x Functional analysis  |x Convolution integrals 
650 4 |a Economics  |x Economic disciplines  |x Labor economics  |x Employment  |x Employment opportunity  |x Occupational mobility  |x Employee turnover 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Statistical models  |x Parametric models 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Distribution functions  |x Theoretical Papers 
655 4 |a research-article 
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952 |d 42  |j 1991  |e 7  |h 587-594