I never went to the bother of using a dishwasher to sanitize bottles. It works I guess but my concern is how well will the inside of the bottle get sanitized when, in my opinion, so little water is likely to get into the small neck opening anyway, and certainty not with enough force to reach the bottom of the bottle. .
As a previous poster said, rinse your bottle immediately after you pour a beer, stand it up-side-down to drain and put it in a case of beer empties. When you need to use them again, just sanitize the inside and around the neck with a pump bottle washer, the kind you fill with sanitizer and push the up-side-down bottle on the device to pump a strong stream of no rinse sanitizer up inside the bottle. Put on a bottle rack to drain, then fill. No problem, and easy. I only use Grolsch self closing 16 oz bottles so only need 40 for a 5 gal batch.