Using data envelopment analysis in markovian decision making

Georgiou, Andreas C.; Thanassoulis, Emmanuel; Papadopoulou, Alexandra

doi:10.1016/j.ejor.2021.06.050

Cited by 4 publications

(5 citation statements)

References 52 publications

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“…In Section 5.4 of [12], there is a synopsis of real and potential applications of NHMS which illustrates the breadth of applications and some of the reasons why the entire theory is central to these processes. Work on manpower planning using results from NHMS and new areas has continued throughout the years up to nowadays, for example, Garg, et al [13][14][15], Ugwugo and McClean [16], Vassiliadis [17,18], Georgiou, et al [19], Guerry [20,21], Pollard [22], Esquivel, et al [23][24][25].…”

Section: Introductory Notesmentioning

confidence: 99%

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

Vassiliou

2024

Mathematics

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In the present, we study the problem of strong ergodicity in nonhomogeneous Markov systems. In the first basic theorem, we relax the fundamental assumption present in all studies of asymptotic behavior. That is, the assumption that the inherent inhomogeneous Markov chain converges to a homogeneous Markov chain with a regular transition probability matrix. In addition, we study the practically important problem of the rate of convergence to strong ergodicity for a nonhomogeneous Markov system (NHMS). In a second basic theorem, we provide conditions under which the rate of convergence to strong ergodicity is geometric. With these conditions, we in fact relax the basic assumption present in all previous studies, that is, that the inherent inhomogeneous Markov chain converges to a homogeneous Markov chain with a regular transition probability matrix geometrically fast. Finally, we provide an illustrative application from the area of manpower planning.

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Section: Introductory Notesmentioning

confidence: 99%

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

Vassiliou

2024

Mathematics

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“…From the results of the current research on DEA methods, researchers tend to focus only on yields with positive indicators (the more yields, the better the project), which is expected yields, such as economic benefits, product yields, etc. 25 Or the researchers only focused on outputs with negative indicators (the less the better), that is, poor outputs, such as sulfur dioxide emissions, wastewater discharges, and other factors that have an impact on the environment. 26 There are relatively few studies on binary indices (positive and negative) in output.…”

Section: Introductionmentioning

confidence: 99%

“…Since Boyd and Pang 23 and Ramanathan 24 applied this method to study the energy utilization efficiency of the glass industry, it has been widely used in the static and dynamic resource and environmental performance evaluation of various industries, departments, enterprises, and countries. From the results of the current research on DEA methods, researchers tend to focus only on yields with positive indicators (the more yields, the better the project), which is expected yields, such as economic benefits, product yields, etc 25 . Or the researchers only focused on outputs with negative indicators (the less the better), that is, poor outputs, such as sulfur dioxide emissions, wastewater discharges, and other factors that have an impact on the environment 26 .…”

Section: Introductionmentioning

confidence: 99%

The impact of regional material flows on circular economy: A case study of southwest China

et al. 2023

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Circular economy is beneficial to solve the conflict between the environment and development. The study combines the material flow in human society with the evaluation of the regional circular economy. Through the evaluation method combining DEA and rank‐sum ratio, the development level of circular economy in this area is evaluated from both vertical and horizontal perspectives (time level and space level). The result shows: (1) from the point of view of material input, direct material input, total material demand and total material consumption all show an upward trend. The overall resource input is relatively large. (2) In terms of material output, the emission is increasing. But the growth rate is relatively slow. The emission reduction effect is outstanding. The resource output rate showed a continuous growth trend. Economic development is less dependent on the massive consumption of natural resources. (3) In terms of material circulation, the import volume of natural resources outside the province in the southwest region increased. Solid waste recycling is not high. (4) Judging from the evaluation results, the development level of Sichuan's circular economy is relatively stable. Followed by Chongqing and Guizhou. However, the level of development in Yunnan fluctuates greatly. The material consumption rate in Southwest China is higher than the economic growth rate. Resource input and resource consumption are still relatively large. Although some environmental indicators have improved, there are still serious resource and environmental problems in the future economic development of the western region that need to be paid attention. © 2023 Society of Chemical Industry and John Wiley & Sons, Ltd.

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“…This, depending on the goal, model type and structural framework of the manpower system, can be in form of description, prediction, modelling or control of the attendant issues of the system, [3,4]. Three basic stochastic models that have been employed more in statistical manpower modelling are Markov, semi-Markov and renewal models [5,2,6,7,8,9,10,11]. The choice and treatment of any of these models are governed by a number of factors, which include: the nature of transitions and promotion flow -whether it is of 'push' or 'pull' type [12,13,14], discrete or continuous time space [15,16,17], system homogeneity or non-homogeneity [18,19,8,20], model tractability, descriptive ability and practicability [21].…”

Section: Introductionmentioning

confidence: 99%

Steady State Conditions in Tractable Markov Manpower Model for an Extended Manpower System

Ossai

2023

AJPAS

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In this work, a formulation of manpower structure in discrete-time homogeneous Markov model is done for a multilevel manpower system. The structure of the manpower system is first extended in a departmentalized framework and the features of the extended structure utilized to create a scenario of personnel membership in three classes: the active, non-active and external classes. This allows for the inclusion of different units of the system in the model. Specifically, a pool of members in absorbing states with respect to intra-class transitions is included, which forms a second channel of recruitment. The first channel of recruitment is from the external class and all recruits go to the active class. All states of the active class are non-absorbing and give rise to various intra-class and inter-class transitions. Different probability matrices that form the main components of the Markov manpower model are constructed from probabilities of these transitions. One-step steady state condition on the manpower structure is considered, based on the formulated model, and established to be invariant with respect to varying proportion of recruits into the system.

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Using data envelopment analysis in markovian decision making

Cited by 4 publications

References 52 publications

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

The impact of regional material flows on circular economy: A case study of southwest China

Steady State Conditions in Tractable Markov Manpower Model for an Extended Manpower System

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