Paclitaxel and Cisplatin in Treating Patients With Stage III or Stage IV Ovarian Cancer or Primary Peritoneal Cancer

RATIONALE: Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Combining more than one drug may kill more tumor cells. It is not yet known which chemotherapy regimen is more effective for ovarian or peritoneal cancer. PURPOSE: Randomized phase III trial to compare the effectiveness of two regimens of paclitaxel plus cisplatin in treating patients who have residual disease after surgery to remove stage III or stage IV ovarian cancer or primary peritoneal cancer.