D | ||
---|---|---|
Sets | Inputs | |
Outputs | ||
Goals | ||
DMUs | ||
Parameters | i-th input of j-th DMU | |
r-th output of j-th DMU | ||
t-th target of j-th DMU | ||
i-th input of DMUo | ||
r-th output of DMUo | ||
t-th target of DMUo | ||
Variables | Dual variables of the problem | |
The variable added for linearization | ||
Total maximum of input losses | ||
Total maximum of outputs that should have been produced with regard to the inputs, but they are not actually produced | ||
Total maximum of target deficiencies | ||
Total maximum of outputs that should have been produced with regard to the target values, but they are not actually produced | ||
Efficiency of DMUo | ||
Effectiveness of DMUo |
H | E | E | P | λj | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
DMU1 | 0.073 | 0.934 | 1.007 | 0 | 26.19 | 12.80 | 47.17 | 68.22 | λ5 = 0.342 | 0 | 4.04 | 0 | 0 | |
DMU2 | 0.418 | 0.771 | 1.189 | 3.26 | 0 | 31.16 | 31.76 | 49.76 | λ5 = 0.581 | 1.26 | 0 | 0 | 0 | |
DMU3 | 0.433 | 0.841 | 1.275 | 54.02 | 0 | 72.02 | 23.42 | 48.41 | λ5 = 0.564 | 0 | 8.28 | 0 | 0 | |
DMU4 | 1 | 0.805 | 1.805 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.532 | 0 | 4.27 | 0 | 0 | |
DMU5 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | λ5= 1 | 0 | 0 | 0 | 0 | |
DMU6 | 0.138 | 0.894 | 1.031 | 15.06 | 0 | 14.91 | 39.36 | 60.84 | λ5 = 0.320 | 0 | 9.62 | 0 | 0 | |
DMU7 | 1 | 0.674 | 1.674 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.524 | 11.72 | 0 | 0 | 0 | |
DMU8 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | λ8= 1 | 0 | 0 | 0 | 0 | |
DMU9 | 0.201 | 0.898 | 1.098 | 0 | 33.85 | 37.27 | 36.10 | 62.46 | λ5 = 0.396 | 0 | 21.09 | 0 | 0 | |
DMU10 | 0.733 | 0.850 | 1.583 | 26.13 | 0 | 39.75 | 8.18 | 20.96 | λ5 = 0.727 | 0 | 23.29 | 0 | 0 | |
DMU11 | 0.298 | 0.958 | 1.256 | 0 | 33.11 | 24.55 | 38.54 | 67.56 | λ5 = 0.552 | 0 | 14.96 | 0 | 0 | |
Mean | 0.572 | 0.875 | 1.447 | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- |
H | E | E | P | λj | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
DMU1 | 0.071 | 0.967 | 1.038 | 41.46 | 0 | 35.76 | 42.10 | 69.68 | λ5 = 0.368 | 0 | 3.47 | 0 | 0 | |
DMU2 | 0.437 | 0.870 | 1.307 | 8.62 | 0 | 30.41 | 26.69 | 53.93 | λ5 = 0.670 | 4.07 | 0 | 0 | 0 | |
DMU3 | 0.449 | 0.846 | 1.296 | 221.24 | 190.18 | 2.90 | 33.39 | λ5 = 0.615 | 0 | 5.87 | 0 | 0 | ||
DMU4 | 1 | 0.797 | 1.797 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.549 | 0 | 3.08 | 0 | 0 | |
DMU5 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | λ5 = 1 | 0 | 0 | 0 | 0 | |
DMU6 | 0.129 | 0.916 | 1.045 | 19.08 | 0 | 15.14 | 32.67 | 60.12 | λ5 = 0.315 | 0 | 10.50 | 0 | 0 | |
DMU7 | 1 | 0.783 | 1.783 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.614 | 14.39 | 6.29 | 0 | 0 | |
DMU8 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | λ8 = l | 0 | 0 | 0 | 0 | |
DMU9 | 0.201 | 0.913 | 1.113 | 32.96 | 0 | 53.28 | 33.37 | 65.66 | λ5 = 0.453 | 0 | 18.88 | 0 | 0 | |
DMU10 | 0.636 | 0.829 | 1.465 | 11.91 | 0 | 28.60 | 10.95 | 36.33 | λ5 = 0.685 | 0 | 23.89 | 0 | 0 | |
DMU11 | 0.264 | 0.985 | 1.294 | 48.29 | 0 | 47.09 | 30.52 | 67.21 | λ5 = 0.510 | 0 | 18.32 | 0 | 0 | |
Mean | 0.562 | 0.900 | 1.467 | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- |
H | I | O | G | ||||
---|---|---|---|---|---|---|---|
DMU1 | 2274 | 1118 | 1233 | 88.58 | 51.57 | 85 | 46 |
DMU2 | 421 | 251 | 247 | 73.78 | 80.64 | 85 | 61 |
DMU3 | 542 | 156 | 365 | 76.26 | 75.31 | 85 | 67 |
DMU4 | 240 | 118 | 161 | 71.90 | 67.77 | 85 | 62 |
DMU5 | 347 | 126 | 148 | 88.90 | 117.13 | 85 | 74 |
DMU6 | 1108 | 607 | 551 | 84.07 | 45.41 | 85 | 52 |
DMU7 | 151 | 94 | 69 | 48.26 | 71.88 | 85 | 58 |
DMU8 | 269 | 189 | 194 | 93.29 | 14.17 | 85 | 23 |
DMU9 | 814 | 424 | 526 | 83.15 | 59.56 | 85 | 69 |
DMU10 | 298 | 175 | 169 | 74.32 | 82.32 | 85 | 94 |
DMU11 | 724 | 358 | 408 | 89.68 | 66.48 | 85 | 68 |
H | I | O | G | ||||
---|---|---|---|---|---|---|---|
DMU1 | 2269 | 1106 | 1182 | 91.43 | 51.89 | 85 | 46 |
DMU2 | 416 | 247 | 257 | 73.61 | 76.92 | 85 | 61 |
DMU3 | 539 | 154 | 333 | 81.98 | 76.02 | 85 | 67 |
DMU4 | 239 | 115 | 145 | 78.46 | 71.90 | 85 | 62 |
DMU5 | 339 | 119 | 154 | 96.95 | 128.19 | 85 | 74 |
DMU6 | 1098 | 603 | 561 | 87.48 | 48.76 | 85 | 52 |
DMU7 | 149 | 90 | 69 | 51.94 | 67.38 | 85 | 58 |
DMU8 | 264 | 185 | 201 | 98.41 | 13.59 | 85 | 23 |
DMU9 | 808 | 418 | 515 | 87.76 | 57.59 | 85 | 69 |
DMU10 | 296 | 160 | 170 | 82.59 | 94.83 | 85 | 94 |
DMU11 | 711 | 344 | 393 | 93.46 | 76.25 | 85 | 68 |
H | I | O | G | ||||
---|---|---|---|---|---|---|---|
DMU1 | 2172 | 1128 | 1170 | 91.02 | 49.85 | 85 | 46 |
DMU2 | 401 | 232 | 240 | 72.83 | 67.97 | 85 | 61 |
DMU3 | 501 | 156 | 304 | 90.05 | 82.52 | 85 | 67 |
DMU4 | 231 | 110 | 149 | 83.34 | 67.62 | 85 | 62 |
DMU5 | 310 | 118 | 145 | 90.60 | 125.94 | 85 | 74 |
DMU6 | 972 | 563 | 550 | 91.36 | 51.27 | 85 | 52 |
DMU7 | 133 | 90 | 69 | 51.32 | 59.86 | 85 | 58 |
DMU8 | 263 | 154 | 202 | 94.26 | 13.24 | 85 | 23 |
DMU9 | 742 | 398 | 475 | 89.58 | 58.17 | 85 | 69 |
DMU10 | 294 | 159 | 169 | 86.03 | 98.30 | 85 | 94 |
DMU11 | 651 | 318 | 370 | 84.66 | 53.87 | 85 | 68 |
A | T | A |
---|---|---|
DEA | Hospitals of the US Department of Defence | |
DEA | Turkish acute general hospitals | |
DEA | Hospital emergency services in Montreal | |
DEA | Systematic review of previous studies | |
DEA | Iowa Hospital Association (IHA) | |
( | DEA | Hospital Performance Evaluation in Uganda |
DEA and regression tree | Taiwan's H | |
Stochastic DEA and Bayesian analysis | Greek public hospitals | |
Multi-group DEA | Iranian hospitals | |
DEA | Hospitals of Tamil Nadu State in India | |
DEA | US hospitals | |
DEA-FAHP | Hospitals in Turkey | |
DEA with truncated regression | Hospital services in Ontario | |
DEA | Brazilian hospitals | |
Dynamic Network DEA | USA H | |
DEA | USA H | |
DEA and panel analysis | Norwegian hospitals | |
DEA | Pennsylvania hospitals | |
BWM and DEA | A real general H | |
DEA-Game theory | Iran hospitals | |
Fuzzy Clustering DEA-Game theory | Iran hospitals | |
E | E | P | λj | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
DMU1 | 0.070 | 0.978 | 1.049 | 0 | 24.41 | 12.48 | 44.07 | 67.84 | λ5 = 0.327 | 0 | 5.80 | 0 | 0 | |
DMU2 | 0.406 | 0.792 | 1.198 | 0 | 39.62 | 26.17 | 22.15 | 47.39 | λ5 = 0.510 | 0 | 4.10 | 0 | 0 | |
DMU3 | 0.488 | 0.979 | 1.467 | 54.46 | 0 | 67.09 | 17.75 | 50.16 | λ5 = 0.617 | 0 | 11.61 | 0 | 0 | |
DMU4 | 1 | 0.903 | 1.903 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.494 | 0 | 10.04 | 0 | 0 | |
DMU5 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | λ5 = 1 | 0 | 0 | 0 | 0 | |
DMU6 | 0.153 | 0.982 | 1.136 | 0 | 35.70 | 17.64 | 35.65 | 63.56 | λ5 = 0.340 | 0 | 11.17 | 0 | 0 | |
DMU7 | 1 | 0.632 | 1.632 | 0 | 0 | 0 | 0 | 0 | λ5 = 0.465 | 5.90 | 0 | 0 | 0 | |
DMU8 | 0.834 | 1 | 1.185 | 0 | 0 | 14.23 | 0 | 20.95 | λ8 = | 0 | 0 | 0 | 0 | |
DMU9 | 0.214 | 0.966 | 1.180 | 0 | 30.39 | 33.65 | 33.48 | 63.99 | λ5 = 0.403 | 0 | 23.89 | 0 | 0 | |
DMU10 | 0.758 | 0.942 | 1.701 | 0 | 42.20 | 28.36 | 0 | 19.12 | λ5 = 0.403 | 0 | 28.06 | 0 | 0 | |
DMU11 | 0.242 | 0.913 | 1.155 | 0 | 19.61 | 18.30 | 29.51 | 58.85 | λ5 = 0.371 | 0 | 22.15 | 0 | 0 | |
Mean | 0.501 | 0.917 | 1.478 | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- |
H | DMUs |
---|---|
I | DMU1 |
A | DMU2 |
B | DMU3 |
B | DMU4 |
A | DMU5 |
S | DMU6 |
R | DMU7 |
R | DMU8 |
S | DMU9 |
Z | DMU10 |
C | DMU11 |
C | D | A | |
---|---|---|---|
Number of health workers (C | Number of health workers working in the hospital including doctors, nurses and ... | ||
Number of other staff (C | Number of other staff working in hospital sub-units including Food and Drug Staff, Management, Service ... | ||
Number of patient beds (C | Numbers of beds specially designed for hospitalised patients or others in need of some form of health care. | ||
Bed occupancy rate (C4) | Calculated as the number of hospital bed days divided by the number of available hospital beds, multiplied by the number of days in a year. | ||
Bed turnover rate (C | Number of times that hospitalised patients used a hospital bed over a one-year period |