Unable to add the limited number of search parameters in the supply plan

Hello all,

We have a requirement where on the 'Supplies and Demand' Table we only requires to very limited number of search areas should be there. Now if we do the customization where if we add new feilds we need to go for the 'Advance' option and than we need to add the particular search parameters. But we could not be able to delete the existing search parameters as we dont want all the search parameters to be part of the personalized saved search.

Likewise let say we are selecting one of the saved search as 'Planned Order' to make it personalised by adding additional search criteria.