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RATIONALE: Giving chemotherapy and total-body irradiation (TBI) before a donor peripheral blood stem cell transplant helps stop the growth of cancer cells and helps stop the patient's immune system from rejecting the donor's stem cells. When the healthy stem cells from a donor are infused into the patient they will help the patient's bone marrow make stem cells, red blood cells, white blood cells, and platelets. Giving colony-stimulating factors, such as filgrastim (G-CSF) and plerixafor, to the donor helps the stem cells move (mobilization) from the bone marrow to the blood so they can be collected and stored.

PURPOSE: This clinical trial is studying giving plerixafor and filgrastim together for mobilization of donor peripheral blood stem cells before a peripheral blood stem cell transplant in treating patients with hematologic malignancies

PRIMARY OBJECTIVES:

I. The percentage of normal donors who collect at least 2 x 10^6 CD34 cells/kg recipient weight on day 1 after administration of combined filgrastim and plerixafor.

SECONDARY OBJECTIVES:

I. Measuring CD34+ cells/ul in peripheral blood of donors 11, 15, 24 and 36 hours post dosing.

II. Tolerance and safety of combined filgrastim and Plerixafor in normal donors.

III. Engraftment of filgrastim/plerixafor mobilized stem cells in allogeneic recipients.

IV. Acute and chronic graft-versus-host disease (GVHD) following the use of filgrastim/plerixafor mobilized stem cells.

V. Yield of CD34+ cells based on donor weight.

OUTLINE: Donors receive filgrastim subcutaneously (SC) and plerixafor SC on day -14 and undergo leukapheresis to collect peripheral blood stem cells (PBSC) on day -13. These cells are frozen to preserve them. Treatment modifications may apply according to sufficient collection of PBSC. Patients receive standard high-dose conditioning and undergo allogeneic PBSC transplantation on day 0 using the previously frozen cells.

After completion of study treatment, donors are followed up 1 day after the last stem cell donation.

Inclusion Criteria:

• Hematologic malignancy considered eligible and suitable for allogeneic stem cell transplantation (syngeneic transplantation is acceptable); diagnoses include acute myeloid or lymphoid leukemias, chronic myeloid or lymphoid leukemias, multiple myeloma, lymphoma or myelodysplasia; subjects suitable for this study will primarily receive transplant on a standard treatment plan (non research regimen)
• Organ function, performance status and age suitable for an ablative regimen consisting of TBI >= 10Gy or a chemotherapy regimen consisting of busulphan and cyclophosphamide (BuCY) or busulphan and melphalan (BuMel)
• Availability of a fully matched sibling donor
• Ability to understand and willingness to sign an informed consent
• No uncontrolled infections
• DONOR: Human leukocyte antigen (HLA) identical sibling donor
• DONOR: >= 18 years
• DONOR: No unacceptable risk to donor due to pre-existing illness
• DONOR: Must have suitable antecubital veins for leukapheresis venipuncture; donors who will require a temporary, Mahurkar-type catheter are not eligible
• DONOR: Ability and willingness to sign an informed consent document

Exclusion Criteria:

• Eligible for and willingness to participate in any research study of transplant regimens
• Eligible for and willingness to participate in a non ablative transplant regimen
• Human immunodeficiency virus (HIV) seropositive
• Pregnancy
• DONOR: HIV seropositive
• DONOR: Contraindication or hypersensitivity to filgrastim or plerixafor
• DONOR: Hepatitis A, B, C seropositive
• DONOR: Pregnant or lactating females
• DONOR: Liver function studies > 2 times the upper limit of normal (ULN) at evaluation, Creatinine > 2, pulmonary function diffusing lung capacity for carbon monoxide (DLCO) < 50% (if specifically evaluated), cardiac ejection fraction < 50% (if specifically evaluated)
• DONOR: Any known ventricular arrhythmia