Abstract: according to the characteristics of optimizing the supply chains with batch discount and transportation,the paper expatiates the conception of supply logistic network(SLN)and the optimization parameters of SLN:nodes,roads and flow rates,then on the basis of minimizing the total supply cost which indudes order cost and logistics cost,builds a mathematical model of SLNs optimization problem and designs a genetic algorithm for this problem,by doing simulation experiments,testifies that genetic algorithm could dissolve SLNs optimation problems efficiently and practically.

Key words: aupply logistic network(SLN), optimization, genetic algorithm, simulation