I had trouble with my HP8600 when I went to Mavericks a few months ago. I downloaded the new drivers but couldn't get scanning to work right. So, I reset the printer system and then reinstalled the printer and fax and it worked. I had to download the newest software for the scanner and then it also worked. Before it worked but the scanned image was not right.
I added a second HP8600 to our WiFi system on my wife's MBP and it was working just fine. Last night my older HP8600 printer stopped working. I had both her printer and mine installed in both of our MBPs and neither of them were working. I fought the problem for three hours uninstalling and installing them over and over again. I reinstalled the drivers from scratch. I went through the Wireless setup on the HP8600s again and again and everything looked OK, passwords OK, etc., but I couldn't get the MBPs to communicate with either printer. When adding the printers, most of the time they would not show up in the list of "near printers" or in the expanded list if you selected add printer again. Often when I could get one of them to install, it could not communicate with the printer to report ink level, or to go to the printer website for detailed info about the printer. That actually pulls up a lot of info from the printer itself.
Then it dawned on me that I had a communication problem. I'm using a four month old AirPort Extreme 11ac and it was worked very well, but I had problems installing a firmware update a few weeks ago, and finally (with help from this Forum) got it working. So, I uplugged the power to the AirPort Extreme. Waited about 30 seconds and plugged it back in. After going through it's startup procedure. I went back to the System Preferences and tried again to add the printers and they were all listed in the available printers to install. I was able to install them both on both MBPs. Using Air Print and they are both working today on my WiFi network.
So, I was blaming the printers and printer drivers and kept installing and uninstalling them etc. The problem was with my WiFi router. So, if anyone else is fighting this "ghost" problem with Wireless printers, try cycling your WiFi router and it might fix the communication problem. I suspect it has something to do with it's seeing the various components on my network and must have somehow got confused with these two printers on the same network. Not sure why, but it worked. Wish I'd tried that first. So now I can print from either MBP or from the iPad 3 using AirPrint.
Now I just need to get a two year old Samsung ML-2525W working on my WiFI network. It doesn't have AirPrint, but it should work with the Ethernet connection to the WiFi router. That may be a bigger challenge and I see some good advice in that Forum addressing that printer.
Lots of us have blamed HP or Apple for having bad drivers, etc. It took them a while to get things right wtih Mavericks, but now printing, scanning and faxing all are working for me on the HP8600s.