When changing the selection criteria for a report there is a section on the page called "Saved selections" (may have to be expanded by clicking on the section title).  This section allows a description to be entered for the selections made and saves them for reuse later.

When running the report again in the future use the Load button to load a previosuly saved set of selections.

Also, each saved selection is given a unique URL that can be added to a menu or as a link on a page enabling the report with the saved selections to be loaded direct from a menu item or page.