Tutorial Planning Optimizer

An optimization tool for scheduling tutorial sessions based on tutor availability and preferences, maximizing overall utility while ensuring fairness across all tutors.

Core Features

• Utility Maximization: Assigns tutors to time slots by maximizing a weighted preference score (wish slots > alternative slots), with a fairness term that lifts the minimum utility across all tutors.
• Connectivity Bonus: Rewards consecutive slot assignments for tutors who prefer uninterrupted blocks.
• Constraint Satisfaction: Enforces hard constraints — no double-booking, fixed lecture/exercise slots remain free, and blocked slots are strictly excluded.
• Conflict Detection: Automatically flags input data inconsistencies (overlapping wish/block slots) before solving.

Technical Stack

• Language: Python 3.14.3
• Solver: Gurobi (via gurobipy) — requires a valid Gurobi license (free academic license available)
• Libraries: Matplotlib (visualization)

How the Optimizer Works

Each tutor is assigned exactly 2 time slots from a discretized weekly schedule (2-hour blocks, Mon–Fri, 8–18). The optimizer solves a Mixed-Integer Linear Program:

$$U_p = \sum_{s \in \text{wish}} x_{p,s} + 0.5 \sum_{s \in \text{alternative}} x_{p,s} + 2 \sum_{\text{consecutive pairs}} y_{p,d,t}$$

$$\max \sum_p U_p + 10 \cdot U_{\min}$$

where $x_{p,s} \in {0,1}$ indicates assignment and $y_{p,d,t}$ captures consecutive slot pairs per day.

Setup & Installation

1. Clone repository: git clone https://github.com/GaiusJ/Tutorial-Planning.git
2. Install dependencies: pip install -r requirements.txt
3. Activate Gurobi license: grbgetkey <your-key>
4. Run optimizer: python TutorialPlanning.py

Configuration

Edit the persons list in TutorialPlanning.py to define tutors and their availability:

person("Name",
    wish_slot=[slot("monday", 10, 12)],                 # preferred slots (weight 1)
    alternative_wish_slot=[slot("tuesday", 14, 16)],    # fallback slots (weight 0.5)
    block_slots=[slot("friday", 8, 18)],                # unavailable slots
    connected=True)                                     # prefer consecutive blocks

License & Terms of Use

This is an academic side project.

• Personal & Educational Use: Feel free to explore, learn from, and use this tool for private purposes.
• Commercial Use: Prohibited. Contact me directly for written permission.