Genetic String In the early application of GA to DNRC, the string structure is expressed by “ Arc No.( i ) ” and “ SW. No.( i ) ” for each switch i .“ Arc No.( i ) ” identifies the arc (branch) number that contains the ith open switch, and “ SW. No.( i ) ” identifi es the switch that is normally open on Arc No.( i ). For large distribution networks, it is not effi cient to represent every arc in the string, since its length will be very long. In fact, the number of open switch positions is identical to keep the system radial once the topology of the distribution networks is fi xed, even if the open switch positions are changed. Therefore, to memorize the radial confi guration, it is enough to number only the open switch positions. Figure 12.6 shows a simple distribution network with 5 switches that are normally open.
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