I have a TP-LINK WR1042ND at home, and it stops working when certain amount of Apple devices registers on the network. It happened in the past when someone from my family came to visit us with their devices, and it is definitely happening several times a day now that we have two iPhones and an iPad at home.
I've found a thread which mentions problems using this model with Apple devices (several different bugs are mixed together in that thread, but some of them are very similar to mine, so I'm probably not alone). I happen to have two routers on my network, so I'll try to configure DHCP on one and Wifi on the other, but who knows whether it helps.
In the end, I might end up looking for a different router. So I'd like to ask how many Apple devices do you have at home and what Wifi router (brand and model) do you use with them? Do you experience some problems? (Going for the Airport router would probably work, but it looks really, really costly to me given that it is "just" a router.)