Let's consider a hospital where nurses are assigned to different patients and tasks. The goal is to assign nurses to patients and tasks in a way that satisfies certain constraints: In a week, a nurse should work either on Mon and Wed, or Tue and Thur. For each shift, a nurse should serve only one patient. A nurse should only serve a patient in each shift. The provided table assigned time slot for each shift:

Shift 1: 4:10 pm - 5:35 pm

Shift 2: 4:10 pm - 6:55 pm

Shift 3: 7:10 pm - 8: 35 pm

Shift 4: 7 - 10 pm - 9:55 pm

Please develop mathematical models (goal programming/integer programming) to schedule the working schedule for the nurse.