Table 3 Example solutions computed by phase 2
From: An algorithm for solving the bi-objective median path-shaped facility on a tree network
λ | k | Path P | D(P) | Comment |
|---|---|---|---|---|
1 | \(\left \{\begin {array}{c}P_{v_{7},v_{12}} \\ P_{v_{7},v_{11}}\end {array}\right. \) | \(\left \{\begin {array}{c}s^{3}=(169,474) \\ s^{1}=(131,689)\end {array}\right. \) | \(\begin {array}{c}\textrm {Supported point lies in the first V.R.} \\ \textrm {Supported point lies in the first V.R.}\end {array}\) | |
\(\lambda =\frac {215}{253}\) | 2 | \(\left \{\begin {array}{c}P_{v_{6},v_{11}} \\ P_{v_{6},v_{12}}\end {array}\right. \) | \(\left \{\begin {array}{c}s^{4}=(139, 676) \\ s^{5}=(177,461)\end {array}\right. \) | \(\begin {array}{c}\textrm {Unsupported point lies in the first V.R.}\\ \textrm {Unsupported point lies out in the first V.R.}\end {array}\) |
3 | \(P_{v_{5},v_{12}}\) | s6=(194,447) | Unsupported point lies out in the first V.R. | |
1 | \(P_{v_{1},v_{12}}\) | s2=(219,350) | Supported point lies in the second V.R. | |
\(\lambda =\frac {124}{174}\) | 2 | \(P_{v_{6},v_{12}}\) | s5=(177,461) | Unsupported point lies in the second V.R. |
3 | \(P_{v_{5},v_{12}}\) | s6=(194,447) | Unsupported point lies out in the second V.R. | |
4 | \(P_{v_{2},v_{12}}\) | (201,482) | Dominated point lies out in the second V.R. |