A Cross-Efficiency Based Ranking Method for Finding the Most Efficient DMU

Table 2

Alternative optimal solutions for model proposed by Toloo and Nalchigar [35].

DMUs	𝑀^∗	𝑣^∗	𝑢^∗	𝑣^∗0	𝑑^∗	𝛽^∗
DMU1	1	0.0001	0.0001	−0.0999	𝑑7=0	(0.000, 0.75004, 0.5004,0.1006, 0.5003, 0.75)
		0.4997	0.0001		𝑑𝑗=1, 𝑗≠1
DMU2	1	0.00003	0.0003	−0.0498	𝑑2=0	(0.9999, 0.000, 0.6015,0.6517, 0.808, 0.9142)
		0.499	0.143		𝑑𝑗=1,𝑗≠2
DMU3	1	0.192	0.303	0.658	𝑑3=0	(0.479, 0.000, 0.000,0.194, 0.247, 0.153)
		0.001	0.001		𝑑𝑗=1,𝑗≠3
DMU4	1	0.192	0.078	−0.124	𝑑4=0	(0.9999, 0.7942, 0.9994, 0.000, 0.9915, 0.8536)
		0.001	0.157		𝑑𝑗=1,𝑗≠4
DMU5	1	0.192	0.0451	−0.1664	𝑑5=0	(0.999, 0.8147, 0.9175,0.999, 0.000, 0.8673)
		0.00067	0.1684		𝑑𝑗=1,𝑗≠5