S9912 Combination Chemo in Stage III Ovarian Cancer,

DISEASE CHARACTERISTICS: * Histologically confirmed stage III ovarian epithelial, fallopian tube, or primary peritoneal carcinoma * Tumor involves one or both ovaries with microscopically confirmed peritoneal metastasis outside the pelvis and/or regional lymph node metastasis * No tumors of borderline or low malignant potential only * Mixed Mullerian tumors allowed * Must have optimal disease defined as no residual lesions after resection or residual disease such that no single lesion measures greater than 1 cm in diameter * Must have undergone staging exploratory laparotomy with tumor debulking within the past 70 days PATIENT CHARACTERISTICS: Age: * Not specified Performance status: * SWOG 0-1 Life expectancy: * Not specified Hematopoietic: * Granulocyte count ≥ 1,500/mm\^3 * Platelet count ≥ 100,000/mm\^3 Hepatic: * Bilirubin ≤ 2 times upper limit of normal (ULN) * SGOT or SGPT ≤ 2 times ULN Renal: * Creatinine clearance ≥ 50 mL/min Cardiovascular: * No congestive heart failure * No cardiac arrhythmia * No myocardial infarction or unstable angina within the past 6 months * Patients with a history of myocardial disease must not have ischemia or pathologic arrhythmias and must have an ejection fraction \> 50% by MUGA Other: * Not pregnant or nursing * Fertile patients must use effective contraception * No active or uncontrolled infection * No concurrent fever * No grade 2 or greater sensory neuropathy * No severe gastrointestinal symptoms (i.e., partial obstruction) and/or bleeding, diarrhea, or abdominal tenderness suggestive of peritoneal irritation or infection * No erythema or tenderness of abdominal incision or port site suggestive of underlying infection * No other malignancy within the past five years except adequately treated basal cell or squamous cell skin cancer or carcinoma in situ of the cervix PRIOR CONCURRENT THERAPY: Biologic therapy: * No prior immunotherapy for ovarian cancer Chemotherapy: * No prior chemotherapy for ovarian cancer Endocrine therapy: * Not specified Radiotherapy: * No prior pelvic radiotherapy for ovarian cancer Surgery: * See Disease Characteristics * Recovered from all reversible surgery-related toxic effects Other: * No other concurrent antitumor treatment * No concurrent antibiotics for infection of undetermined etiology