No more connections can be made to this remote computer at this time

This error is a very common in Windows envoirnment. This error can be faced when you are attempting to connect a share (folder / printer etc) that is configured to allows a specific number of connections, and that number of connections has been reached. Check the properties on the share on the server. If the specified number of connections has been reached, increase the user limit or set the value to "maximum allowed." The server may be configured with Per Server licensing and the number of licenses may be exhausted. A quick check to see if this is the problem would be turn off the License Logging Service on the computer.

Check to see if the server was configured by upgrading a computer running Windows NT Workstation to Windows NT Server. If it was, the following registry parameter may need to be increased from a hex value of 0xa (10) to 0xFFFFFFFF: HKEY_LOCAL_MACHINE\System\CurrentControlSet\Services\LanManServer\Parameters\Users

but in some , more cases any file, print, named pipe, or mail slot session that does not have any activity is automatically disconnected after the AutoDisconnect time has expired; the default for the AutoDisconnect time is 15 minutes. When the session is disconnected, one of the ten connections becomes available so that another user can connect to the Windows XP system. Therefore, lowering the AutoDisconnect time can help to reduce some of the problems that users may encounter with the ten-connection limit or the five-connection limit on a system that is not used heavily for server purposes.

You can configure the AutoDisconnect time by running the following command from a command prompt, 1st you need to check you current number of connections in command prompt.

Here is Help command that can be used to get its further perameters

You can ask your file, print, named pipe etc server / workstation to disconnect a session in less time, see below

If this error is in a shared folder on Windows client Workstation (XP / Vista / Windows 7) etc then a right click on the Shared Folder and then increased "maximum" connection can resolved this isssue but about all other conditions, you can provide only a solution of timeout option.