How do I pass the HttpServletRequest object to the test case?

you should mock out the request object using a mocking library, like http://code.google.com/p/mockito/

public void testCheckBatchExecutionSchedule() throws Exception
{
   HttpServletRequest mockRequest = mock(HttpServletRequest.class);
   //setup the behaviour here (or do it in setup method or something)
   when(mockRequest.getParameter("parameterName")).thenReturn("someValue");
   assertTrue("Batch is Completed :", returnPointsRatingDisputeFrom.checkBatchExecutionSchedule(mockRequest));
}

Spring provides a class called MockHttpServletRequest, which can be used to test code that needs a HttpServletRequest.

public void testCheckBatchExecutionSchedule() throws Exception
{
   MockHttpServletRequest request = new MockHttpServletRequest();
   request.addParameter("parameterName", "someValue");
   assertTrue("Batch is Completed :", returnPointsRatingDisputeFrom.checkBatchExecutionSchedule(request));
}