Maybe your DVD drive is not reading the installer DVD properly. If it is an original DVD drive, those aren't known for long life. You could try "blowing out" the drive, or use a cleaning disk, but that may all be a waste of time.
I don't use installer DVDs for much of anything, except as archival copies.
I use a USB flash drive, that is a "restore" using Disk Utility to transfer a bootable copy of the DVD to the flash drive - much more reliable than the DVD, and a faster install, too.