Hmm...So I have no idea if this is what is actually going on, but I'm wondering if it isn't the "Hidden Node Problem".
http://en.wikipedia.org/wiki/Hidden_node_problem
WiFi is a contention based protocol. It's built very similar to Ethernet which uses something called CSMA/CD to DETECT collisions (when two devices try to talk at the same time.) WiFi uses a variant called CSMA/CA because detection of a collision in wireless isn't a guarantee. A collision could occur and neither of the talking devices may recognize it.
Well the CSMA/CD actually has nothing to do with it because anything over 5 devices (especially 15 devices) would cause a lot of latency because of all the collisions on the network that would result. So because of this most routers dont use the CDMA/CD protocols anymore but instead use a sort of NAT protocol or also known as DHCP. This assigns an IP Address to the device trying to connect and it also records the MAC address of the device.
The router then creates a table of all the IP Addresses (Network Communication ID) assigned and the MAC address (Physical Hardware ID) associated with it for faster more efficient communication.
SO the issue is most likely a device limit that has been reached which usually sits at around 20 devices or so. The best way to fix this would be to clear the whole MAC Address list and only reconnect the devices you will be wanting to use.
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So youre options are as follows: (Ranging in Difficulty)
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1) Add a second router to the house with a LAN Cable wired directly to the first router so you could create a second WiFi Access Point (WAP). This could be set as a GUEST WAP for anyone that comes over to visit.2) Reset the MAC Address list on your router and reconnect all needed devices (Should fix the connection issues temporarily)3) Add a second router to the house with the same SSID (WiFi Name) and Security (Password & Type) to create a seamless transition from one router to the next.Now keep in mind the first option is more simple to complete then the second or third but the third option is definitely the most efficient option available, simply because it offers both increased range AND you can have a higher device limit.