This is a real simple vbscript to run a bat file with computer name as a parameter.
Computer names is in a string that splits in a array, then loop the array to send a command for each computer.
strMachines = "Computer1;Computer2;Computer3;Computer4;Computer5"
aMachines = split(strMachines, ";")
For Each machine in aMachines
Set WshShell = WScript.CreateObject("WScript.Shell")
WshShell.Run "\ServerSourceavdeploymentpush.bat " & machine
Next
Wscript.Echo("Done")
In the bat file you just add the variable %1 to capture the computer name.