In this paper, we present a hybrid genetic algorithm to solve the bicr
iteria transportation problem. we absorb the concept on spanning tree
and adopt the Prufer number as it is capable of equally and uniquely r
epresenting all possible basic solutions. We designed the criterion wh
ich chromosomes can be always feasibly converted to a transportation t
ree. In order to improve the efficiency of evolutionary algorithm, the
reduced cost for optimality of a solution was hybridized to genetic a
lgorithm. Numerical experiments show the effectiveness and efficiency
of the proposed algorithm. Keywords: bicriteria optimization, transpor
tation problem, reduced cost, spanning tree, hybrid genetic algorithm(
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