Minizinc Hosptial Schedule

You need to be an expert in minizinc for this job! I am trying to write hospital schedule for my wife. This is often referred to as a “nurse scheduling problem”. The constraint program needs to be written in minizinc. I started with the model, but my underlying solvers (Geocode, Chuffed, OR) cannot handle my code (too complex and / or too poorly written). The aim is to develop a working minizinc model which will be hosted on a website at a later stage. -------------------------------- Requirements: ---------------------------------- • Parameters o All data/parameters will be stored in a separate data file  amount of days (e.g. 90), people (e.g. Chris), shifts (e.g. evening)  shifts require working hours  people have contractual working time / hours  people may have overtime from previous schedule  hard constraint & soft constraint data • Hard constraints o shifts defined per day (e.g. every Monday two evening shifts) o shifts defined per specific day (e.g. Tuesday the 30th four evening shifts) o shifts defined per day per person (e.g. Chris every Monday two day shifts) o shifts defined per specific day per person (e.g. Chris on Friday the 31st is off) o within 5 consecutive days at least 1 day is off o sum of working hours per schedule <= contractual working time + overtime o Total amount of night shifts equally distributed o Total amount of weekend shifts equally distributed o Shifts depending on other shifts during per day (e.g. if there is a morning shift on Sunday, there needs to be an evening shift) o Shifts depending on other shifts on previous days (e.g. if Chris had a nightshift yesterday, today he may only either be off or have another nightshift) • Soft constraints o Each shift per day has a “penalty” (e.g. Monday evening shift = 10, Monday day = 0) o Sum of penalty to be as equal as possible within all people o If specific shifts are scheduled on specific days (e.g. every Tuesday, every second Saturday, the 30th of Ocotober), there is a specific “benefit” allocated (e.g. 20) • Solve o Utility = sum of benefit – sum of penalty o Solve maximize utility • Output o Schedule (days horizontal, people vertical) o Time accounting  How many hours available per contract per person  How many hours worked per person  How many shifts worked on which days per person o Shift accounting:  How many shifts scheduled?  How many shifts scheduled per day?