There should be schedule task option in control panel of shared hosting or if you have dedicated server, use Windows schedule task to execute vbs file.
Third party service is also a good option but it requires aspx page accessible on internet.
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As PremiumHost suggested go with vbs. depending on the permissions the user might not be able to execute iexplore. You could also write code such as ASP code and use a .vbs extention, then all you have to do is setup a scheduled task that will run cscript something.vbs
wscript.echo "this is a test"
then just call the vbs file like this cscript test.vbs
This may only work if you have the ability to create a scheduled task and the user that you are under has permissions to access cscript
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