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Table 2 Numerical example 1

From: Overall profit Malmquist productivity index under data uncertainty

DMUj

\((\underline {r}_{1j}, \overline {r}_{1j})\)

 

\((\underline {r}_{2j}, \overline {r}_{2j})\)

 

\((\underline {c}_{1j}, \overline {c}_{1j})\)

 

\((\underline {c}_{2j}, \overline {c}_{2j})\)

 
 

t

t+1

t

t+1

t

t+1

t

t+1

1

[10, 12]

[11, 15]

[30, 35]

[23, 30]

[100, 110]

[110, 115]

[50, 55]

[40, 50]

2

[9, 10]

[8, 9]

[27, 28]

[24, 29]

[110, 115]

[114, 117]

[40, 44]

[42, 45]

3

[8, 9]

[5, 9]

[25, 27]

[25, 26]

[105, 110]

[102, 109]

[42, 45]

[42, 50]

4

[9, 11]

[7, 12]

[29, 31]

[23, 26]

[107, 115]

[114, 115]

[50, 57]

[49, 52]

5

[10, 11]

[10, 14]

[28, 31]

[24, 30]

[111, 117]

[110, 114]

[47, 62]

[42, 52]

  1. The price vector data for the five DMUs in Example 1 at times t and t+1