Research Article

Annealing Ant Colony Optimization with Mutation Operator for Solving TSP

Table 2

Results obtained by the EAS and the proposed algorithm for the test problems according to the best solution, worst solution, average solution, standard deviation, number of iterations, and running time of algorithms.

InstanceOpt.MethodBestWorstAverageStd. dev.IterationTime (s)

eil51426EAS430474442.314.389990.01
Proposed4264494260.0020.00
eil76538EAS547653563.913.259990.02
Proposed5385665380.0020.01
eil101629EAS661778677.19.279990.04
Proposed6296676290.0030.02
berlin527542EAS7633106747816.9141.359990.01
Proposed75421080475420.0030.06
bier127118282EAS121978151016125064.11866.129990.07
Proposed1182821538761182820.0040.05
ch1306110EAS638677576515.383.809990.07
Proposed6110651961100.0040.05
ch1506528EAS673477716865.5101.499990.07
Proposed6528693765280.0030.03
rd1007910EAS8240101618422.2151.469990.04
Proposed7910854079100.0020.01
lin10514379EAS147561801015102.3278.809990.02
Proposed1437915315143790.0020.01
lin31842029EAS449815815146293.6917.359991.42
Proposed420294371542042.442.37120.54
kroA10021282EAS220852922722603.8450.099990.04
Proposed2128223228212820.0020.01
kroA15026524EAS275603128228370504.969990.12
Proposed2652427793265240.0040.05
kroA20029368EAS314994160431886.1249.149990.11
Proposed2936830829293680.0090.20
krob10022141EAS226522790823134.8281.929990.04
Proposed2214128127221410.0020.01
krob15026130EAS272483455028099.5512.539990.14
Proposed2613027556261300.0020.02
krob20029437EAS310543868432019559.769990.23
Proposed2943731024294370.00110.24
kroc10020749EAS211942248521777.8348.029990.03
Proposed2074926834207490.0020.01
krod10021294EAS222052910122872.5457.979990.03
Proposed2129422627212940.0030.02
kroe10022068EAS226993121623460.4486.849990.07
Proposed2206823078220680.0020.01
rat5756773EAS736583987436.672.579999.11
Proposed677769866787.110.1399946.23
rat7858806EAS9706125969860.8128.8499926.79
Proposed881190868829.715.0299966.85
rl1323270199EAS297599392473304626.95122.59999110.29
Proposed270309287323270841.7403.43999194.62
fl140020127EAS224324382923669.5820.8099993.12
Proposed201942917620233.426.0199934.24
d165562128EAS681829298871629.31905.7099933.58
Proposed622916892262457.590.39999199.58