Journal ArticleDOI
Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction
TLDR
A mathematical model in a multi-level manpower planning setting is developed and analyzed incorporating the divisions of an organization's personnel into several homogeneous groups in this paper, where the proposed model is applied to the multi-organization setting.Abstract:
A mathematical model in a multi-level manpower planning setting is developed and analyzed incorporating the divisions of an organization’s personnel into several homogeneous groups. The proposed fr...read more
Citations
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Adapting to Changing Labor Productivity as a Result of Intensified Heat Stress in a Changing Climate
TL;DR: In this article, an optimization modeling approach coupled with dynamical downscaling is proposed to design the optimal adaptation strategies for improving labor productivity under heat stress in China, where the future changes in heat stress represented by the wet-bulb globe temperature (WBGT) are projected with a spatial resolution of 25 × 25 km by a regional climate model (RCM) through the dynamical downsizing of its driving global climate model.
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Open Markov Type Population Models: From Discrete to Continuous Time
TL;DR: This work proposes a direct extension from the discrete time theory to the continuous time one by using a known structure representation result for semi-Markov processes that decomposes the process as a sum of terms given by the products of the random variables of a discrete time Markov chain by time functions built from an adequate increasing sequence of stopping times.
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Upholding labor productivity with intensified heat stress: Robust planning for adaptation to climate change under uncertainty
TL;DR: In this article, an integrated optimization-based productivity restoration modeling framework is proposed for the first time to develop the optimal policies for adaptation to climate change, taking into account ensemble projections from five global climate models (GCMs) under two Representative Concentration Pathways (RCP2.6 and RCP8.5) and inexact system costs.
Journal ArticleDOI
Using data envelopment analysis in markovian decision making
TL;DR: A modelling framework which combines Data Envelopment Analysis and Markov Chains into an integrated decision aid and puts forward an approach to harness the power of DEA to fill the gap in existing Markovian manpower planning methods to handle stochasticity and optimization in a more tractable manner.
Journal ArticleDOI
On State Occupancies, First Passage Times and Duration in Non-Homogeneous Semi-Markov Chains
Andreas C. Georgiou,Alexandra K. Papadopoulou,Pavlos Kolias,Haris Palikrousis,Evanthia Farmakioti +4 more
TL;DR: In this paper, the authors provide closed analytic forms for three types of probabilities which describe attributes of considerable research interest in semi-Markov modeling: (a) the number of transitions to a state through time (Occupancy), (b) the amount of transitions or the time required to observe the first passage to a states (First passage time), and (c) the period of time required after a state is entered before the first real transition is made to another state (Duration).
References
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Book
Non-negative Matrices and Markov Chains
TL;DR: Finite Non-Negative Matrices as mentioned in this paper are a generalization of finite stochastic matrices, and finite non-negative matrices have been studied extensively in the literature.
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Asymptotic behavior of Markov systems
TL;DR: In this article, the authors studied the weak ergodicity of non-homogeneous Markov systems and found that the limiting structure and the relative limiting structure exist under certain conditions.
A Review of Operations Research Applications in Workforce Planning and Potential Modeling of Military Training
TL;DR: In this article, the authors present a review of workforce planning applications of operations research and explore potential modelling of military training via System Dynamics. And they classify the operations research techniques applied in workforce planning into four major branches: Markov chain models, computer simulation models, optimisation models and supply chain management through System Dynamics, and outline the underlying mathematical formalism and concepts, overview models published and discus potential limitations.
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Asymptotic behavior of nonhomogeneous semi-Markov systems
TL;DR: In this paper, the authors studied the asymptotic behavior of a nonhomogeneous semi-Markov system (population) in discrete time and established the conditions under which the ergodic behavior of such a chain exists and provided the limit of the basic matrix of the chain.
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Modelling heterogeneity in a manpower system: a review
TL;DR: Methods of incorporating population heterogeneity into manpower modelling are reviewed, including the use of observable sources of heterogeneity as they affect wastage, and the latent sources which cannot be identified precisely but are known to affect the key parameters of most models.