DISEASE CHARACTERISTICS: Diagnosis of Non-Hodgkin's lymphoma, Hodgkin's disease, acute myelogenous leukemia, acute lymphoblastic leukemia, chronic myelogenous leukemia, chronic lymphocytic leukemia, or multiple myeloma Eligible for total body irradiation plus high dose chemotherapy followed by autologous peripheral blood stem cell transplantation At least 1,500,000 CD34+ cells/kg cryopreserved No prior treatment on this study