I think the namespace that you're after is:
Microsoft.SqlServer.Dts.Runtime
However, this namespace is found within an assembly that is usually not referenced by default, so you'll have to manually add a reference to the:
Microsoft.SqlServer.ManagedDTS.dll
assembly, if you'er not already referencing it.
Also note that since you're attempting to execute the package from within the context of ASP.NET, you may encounter security/permissions issues. Please see the following links for further details in this regard:
Microsoft.SqlServer.Dts.Runtime & ASP.NET Identity Problem
Calling SSIS package from web service - Security issue
Calling SSIS packages from ASP.NET - Packages with file system tasks end abruptly
Also see these general links in running SSIS packages programmatically:
Loading and Running a Local Package Programmatically
Running SSIS package programmatically
That last link contains a very important caveat for attempting to execute SSIS packages specifically from within an ASP.NET context:
ASP.NET specific: the impersonation
context does not get passed to
additional threads SSIS package
creates, so the data source
connections will not be impersonated.
Also, ASP.NET can be configured to
recycle the worker process in case it
consumes too much memory to improve
availability of ASP.NET application.
Since SSIS is likely to consume a lot
of memory if you have lots of data, it
can trigger this recycling and lower
reliability of your application.