Lumpectomy plus radiation therapy is an option for most women who have early breast cancer or ductal carcinoma in situ (non-invasive breast cancer). In some cases, it is also an option for women with locally advanced breast cancer.Most women prefer this option to a mastectomy.umpectomy plus radiation therapy is an option for most women who have early breast cancer or ductal carcinoma in situ (non-invasive breast cancer). In some cases, it is also an option for women with locally advanced breast cancer.