Markov-Chain Simulation-Based Analysis of Human Resource Structure: How Staff Deployment and Staffing Affect Sustainable Human Resource Strategy
Abstract
:1. Introduction
2. Literature Review
2.1. Human Resources in Production and Logistics
2.2. State of the Art in Human Resource Research
2.3. Markov-Chain Modelling
2.4. Consequences of Literature Review
3. Materials and Methods
4. Results
4.1. Scenario 1: Superdiagonal Promotion Matrix with Dynamic Recruitment Rate
4.2. Scenario 2: Promotion Matrix with Sub- and Superdiagonal Elements with Dynamic Recruitment Rate
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Operator | Technician | Supervisor | Line Manager | Unchallenged by the Work | Lack of Recognition | Financial Reasons | |
---|---|---|---|---|---|---|---|
Operator | 0.80 | 0.15 | 0.00 | 0.00 | 0.02 | 0.01 | 0.02 |
Technician | 0.00 | 0.85 | 0.12 | 0.00 | 0.01 | 0.01 | 0.01 |
Supervisor | 0.00 | 0.00 | 0.80 | 0.05 | 0.02 | 0.03 | 0.10 |
Line Manager | 0.00 | 0.00 | 0.00 | 0.80 | 0.04 | 0.05 | 0.11 |
Operator | Technician | Supervisor | Line Manager | |
---|---|---|---|---|
1 | 0.60 | 0.25 | 0.10 | 0.05 |
2 | 0.62 | 0.23 | 0.11 | 0.04 |
... | 0.65 | 0.20 | 0.10 | 0.05 |
n | 0.70 | 0.18 | 0.08 | 0.04 |
E | 1 | 2 | 3 | 4 | 5 | 6 | R | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 25 | 17 | 15 | 14 | 12 | 7 | 1 | 0.4 | 0.2 | 0.15 | 0.1 | 0.1 | 0.05 |
2 | 42.6 | 23.6 | 20.1 | 19.4 | 15 | 9.22 | 2 | 0.33 | 0.18 | 0.15 | 0.15 | 0.12 | 0.07 |
3 | 45.6 | 23.7 | 20.7 | 23.7 | 15.7 | 10.5 | 3 | 0.33 | 0.17 | 0.15 | 0.17 | 0.11 | 0.08 |
4 | 48.5 | 23.9 | 21.2 | 28.1 | 16.7 | 11.7 | 4 | 0.32 | 0.16 | 0.14 | 0.19 | 0.11 | 0.08 |
5 | 51.2 | 24.1 | 21.6 | 32.5 | 17.9 | 12.7 | 5 | 0.32 | 0.15 | 0.14 | 0.2 | 0.11 | 0.08 |
6 | 53.7 | 24.3 | 21.9 | 36.9 | 19.4 | 13.8 | 6 | 0.32 | 0.14 | 0.13 | 0.22 | 0.11 | 0.08 |
7 | 57.6 | 25.2 | 22.8 | 42.4 | 21.7 | 15.3 | 7 | 0.31 | 0.14 | 0.12 | 0.23 | 0.12 | 0.08 |
8 | 59.8 | 25.4 | 22.9 | 46.7 | 23.7 | 16.5 | 8 | 0.31 | 0.13 | 0.12 | 0.24 | 0.12 | 0.08 |
9 | 60.4 | 25 | 22.4 | 49.7 | 25.2 | 17.4 | 9 | 0.3 | 0.13 | 0.11 | 0.25 | 0.13 | 0.09 |
10 | 61.7 | 25.1 | 22.2 | 53.2 | 27.1 | 18.6 | 10 | 0.3 | 0.12 | 0.11 | 0.26 | 0.13 | 0.09 |
11 | 62.7 | 25 | 22 | 56.4 | 29.1 | 19.9 | 11 | 0.29 | 0.12 | 0.1 | 0.26 | 0.14 | 0.09 |
12 | 64.5 | 25.4 | 22 | 60.1 | 31.5 | 21.5 | 12 | 0.29 | 0.11 | 0.1 | 0.27 | 0.14 | 0.1 |
13 | 64.8 | 25.2 | 21.6 | 62.4 | 33.3 | 22.7 | 13 | 0.28 | 0.11 | 0.09 | 0.27 | 0.14 | 0.1 |
14 | 68.8 | 26.5 | 22.4 | 68.1 | 36.9 | 25.3 | 14 | 0.28 | 0.11 | 0.09 | 0.27 | 0.15 | 0.1 |
15 | 68.7 | 26.2 | 21.9 | 69.9 | 38.6 | 26.7 | 15 | 0.27 | 0.1 | 0.09 | 0.28 | 0.15 | 0.11 |
16 | 70.3 | 26.6 | 22 | 73.3 | 41.1 | 28.6 | 16 | 0.27 | 0.1 | 0.08 | 0.28 | 0.16 | 0.11 |
17 | 71.3 | 26.9 | 22 | 76 | 43.4 | 30.5 | 17 | 0.26 | 0.1 | 0.08 | 0.28 | 0.16 | 0.11 |
18 | 71.3 | 26.7 | 21.6 | 77.5 | 45 | 31.9 | 18 | 0.26 | 0.1 | 0.08 | 0.28 | 0.16 | 0.12 |
19 | 70.8 | 26.4 | 21.2 | 78.3 | 46.2 | 33.1 | 19 | 0.26 | 0.1 | 0.08 | 0.28 | 0.17 | 0.12 |
20 | 70.8 | 26.3 | 20.9 | 79.7 | 47.7 | 34.5 | 20 | 0.25 | 0.09 | 0.07 | 0.28 | 0.17 | 0.12 |
E | 1 | 2 | 3 | 4 | 5 | 6 | R | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 35 | 25 | 22 | 15 | 10 | 3 | 1 | 0.5 | 0.24 | 0.12 | 0.05 | 0.04 | 0.05 |
2 | 45.4 | 29.5 | 25.5 | 16.1 | 8.55 | 5.09 | 2 | 0.35 | 0.23 | 0.196 | 0.124 | 0.066 | 0.039 |
3 | 44.1 | 31.5 | 30.8 | 19.8 | 9.01 | 4.8 | 3 | 0.31 | 0.23 | 0.22 | 0.141 | 0.064 | 0.034 |
4 | 42.4 | 33.3 | 36.5 | 23.6 | 9.57 | 4.63 | 4 | 0.28 | 0.22 | 0.243 | 0.157 | 0.064 | 0.031 |
5 | 40.4 | 34.9 | 42.4 | 27.5 | 10.2 | 4.58 | 5 | 0.25 | 0.22 | 0.265 | 0.172 | 0.064 | 0.029 |
6 | 38.3 | 36.4 | 48.2 | 31.5 | 11 | 4.62 | 6 | 0.23 | 0.21 | 0.284 | 0.185 | 0.065 | 0.027 |
7 | 37.3 | 38.7 | 55.5 | 36.4 | 12.2 | 4.88 | 7 | 0.2 | 0.21 | 0.3 | 0.197 | 0.066 | 0.026 |
8 | 35.2 | 39.9 | 61.3 | 40.4 | 13.1 | 5.07 | 8 | 0.18 | 0.2 | 0.315 | 0.207 | 0.067 | 0.026 |
9 | 32.3 | 40 | 65.4 | 43.3 | 13.8 | 5.18 | 9 | 0.16 | 0.2 | 0.327 | 0.217 | 0.069 | 0.026 |
10 | 30.2 | 40.7 | 70.2 | 46.8 | 14.7 | 5.42 | 10 | 0.15 | 0.2 | 0.338 | 0.225 | 0.071 | 0.026 |
11 | 28.3 | 41.2 | 74.5 | 49.8 | 15.5 | 5.66 | 11 | 0.13 | 0.19 | 0.346 | 0.232 | 0.072 | 0.026 |
12 | 27.1 | 42.3 | 79.5 | 53.5 | 16.6 | 6.01 | 12 | 0.12 | 0.19 | 0.353 | 0.238 | 0.074 | 0.027 |
13 | 25.5 | 42.5 | 82.6 | 55.8 | 17.3 | 6.23 | 13 | 0.11 | 0.18 | 0.359 | 0.243 | 0.075 | 0.027 |
14 | 24.7 | 43.7 | 87.4 | 59.2 | 18.4 | 6.6 | 14 | 0.1 | 0.18 | 0.364 | 0.247 | 0.077 | 0.027 |
15 | 24.1 | 44.9 | 92 | 62.6 | 19.4 | 6.97 | 15 | 0.1 | 0.18 | 0.368 | 0.25 | 0.078 | 0.028 |
16 | 23.7 | 46.1 | 96.5 | 65.9 | 20.5 | 7.35 | 16 | 0.09 | 0.18 | 0.371 | 0.253 | 0.079 | 0.028 |
17 | 23.4 | 47.4 | 101 | 69 | 21.5 | 7.72 | 17 | 0.09 | 0.18 | 0.374 | 0.256 | 0.08 | 0.029 |
18 | 23.2 | 48.7 | 105 | 72.2 | 22.5 | 8.09 | 18 | 0.08 | 0.17 | 0.376 | 0.258 | 0.08 | 0.029 |
19 | 23.2 | 50.1 | 109 | 75.2 | 23.5 | 8.46 | 19 | 0.08 | 0.17 | 0.377 | 0.259 | 0.081 | 0.029 |
20 | 23.3 | 51.5 | 114 | 78.2 | 24.5 | 8.82 | 20 | 0.08 | 0.17 | 0.379 | 0.261 | 0.082 | 0.029 |
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Bányai, T.; Landschützer, C.; Bányai, Á. Markov-Chain Simulation-Based Analysis of Human Resource Structure: How Staff Deployment and Staffing Affect Sustainable Human Resource Strategy. Sustainability 2018, 10, 3692. https://doi.org/10.3390/su10103692
Bányai T, Landschützer C, Bányai Á. Markov-Chain Simulation-Based Analysis of Human Resource Structure: How Staff Deployment and Staffing Affect Sustainable Human Resource Strategy. Sustainability. 2018; 10(10):3692. https://doi.org/10.3390/su10103692
Chicago/Turabian StyleBányai, Tamás, Christian Landschützer, and Ágota Bányai. 2018. "Markov-Chain Simulation-Based Analysis of Human Resource Structure: How Staff Deployment and Staffing Affect Sustainable Human Resource Strategy" Sustainability 10, no. 10: 3692. https://doi.org/10.3390/su10103692