Free Resources

Our organization offers free resources including pass HiMCM papers by our members, videos, and the wiki for our members to read and stuAdy under.. More free resources will be provided in the future.
Our organization offers free resources including pass HiMCM papers by our members, videos, and the wiki
for our members to read and study under.
Our three sample solutions to the 2024 HiMCM problems:
Three smaple solutions:

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1. Carbon Capture Forest Design
Overview:

Design a reforestation strategy that optimizes the distribution of tree species to maximize CO₂ sequestration while addressing critical ecological and environmental constraints, such as water usage and wildfire risks. The project must account for the interplay between climate change, local biodiversity, and long-term forest health.


Key Considerations:

Species Selection: Consider species with varying growth rates, carbon sequestration capacities, and water requirements. Include native species to support biodiversity.

Climate Data: Incorporate regional climate projections, including temperature, precipitation, and drought frequency.

Wildfire Risk: Evaluate fire-resistant species and planting patterns that reduce fire spread.

Soil and Hydrology: Account for soil types, water table levels, and watershed impacts.

Economic Feasibility: Balance ecological goals with the costs of planting, maintenance, and monitoring.


Tasks:
  1. Develop an optimization model that integrates species-specific growth rates, carbon sequestration potential, water usage, and wildfire risk.
  2. Analyze sensitivity to drought scenarios using climate models and simulate outcomes over a 50-year period.
  3. Propose planting patterns that enhance ecosystem resilience while maximizing carbon capture.
  4. Create a policy memo outlining implementation strategies, including funding mechanisms, stakeholder engagement, and long-term monitoring plans.
2. Smart Traffic Light Network
Overview:

Design an adaptive traffic light control system for a high-density urban area to reduce congestion, improve traffic flow, and enhance equity for all road users. The system should leverage real-time data from vehicles, pedestrians, and public transit to dynamically adjust traffic signals.


Key Considerations:

Data Sources: Use inputs from traffic cameras, vehicle GPS systems, and pedestrian sensors.

Priority Management: Ensure emergency vehicles, public transit, and vulnerable road users (cyclists, pedestrians) are prioritized.

Equity: Address accessibility for disabled individuals and underserved neighborhoods.

Environmental Impact: Minimize vehicle idling to reduce emissions.

Scalability: Ensure the system can be expanded to larger networks.


Tasks:
  1. Develop a mathematical model incorporating traffic density, vehicle priority, and pedestrian flow.
  2. Simulate outcomes for a 10-intersection grid, comparing adaptive control to traditional timing systems.
  3. Evaluate equity impacts for cyclists, pedestrians, and public transit users.
  4. Propose a deployment plan, including hardware requirements, data privacy considerations, and stakeholder collaboration.
3. Asteroid Mining Logistics
Overview:

Determine the optimal locations for processing facilities in the asteroid belt to support sustainable mining operations. The goal is to maximize mineral yields while minimizing transport costs and ensuring long-term feasibility.


Key Considerations:

Orbital Mechanics: Account for asteroid trajectories, transfer windows, and fuel efficiency.

Resource Distribution: Consider the composition and accessibility of minerals on candidate asteroids.

Technological Constraints: Evaluate the capabilities of robotic and human-operated systems.

Environmental Impact: Address potential risks to the asteroid belt’s stability and space debris generation.

Scalability: Plan for expansion to 100+ asteroids over time.


Tasks:
  1. Develop a mathematical framework that incorporates orbital mechanics, resource availability, and transport costs.
  2. Analyze three candidate asteroids, assessing their mineral yields and logistical feasibility.
  3. Propose a phased approach for scaling operations to a larger network of asteroids.
  4. Discuss the ethical and legal implications of asteroid mining, including international regulations and environmental stewardship.
4. Pandemic Vaccine Distribution
Overview:

Optimize vaccine allocation during a global health crisis to ensure timely and equitable distribution. The model should address logistical challenges, including cold storage, transportation, and varying regional needs.


Key Considerations:

Cold Chain Logistics: Account for storage and transportation requirements for different vaccine types.

Equity: Prioritize low-income regions and vulnerable populations.

Dynamic Demand: Adapt to changing infection rates and vaccine uptake.

Global Collaboration: Coordinate between production hubs, governments, and NGOs.

Public Trust: Address factors influencing vaccine acceptance.


Tasks:
  1. Develop a model that optimizes vaccine allocation based on cold storage capacity, transportation timelines, and dosage efficacy windows.
  2. Simulate distribution scenarios for a 6-month outbreak, incorporating supply chain disruptions.
  3. Propose strategies to ensure equitable access for low-income regions and marginalized communities.
  4. Create a policy memo outlining recommendations for global vaccine distribution, including funding mechanisms and international cooperation.
5. Coastal Wave Energy Optimization
Overview:

Design an optimal placement strategy for wave energy converters (WECs) along a temperate coastline to maximize energy output while minimizing environmental and economic costs. The project should balance energy production with marine ecosystem preservation.


Key Considerations:

Wave Dynamics: Account for wave height, frequency, and interference patterns.

Environmental Impact: Assess effects on marine life, sediment transport, and coastal erosion.

Maintenance: Plan for accessibility and durability in harsh marine environments.

Economic Feasibility: Evaluate costs of installation, operation, and maintenance.

Community Engagement: Address concerns of local stakeholders, including fishermen and coastal residents.


Tasks:
  1. Develop a hydrodynamic model to simulate energy output for different WEC array configurations.
  2. Analyze environmental impacts, including habitat disruption and sediment transport.
  3. Evaluate cost-benefit ratios for various placement patterns, considering long-term maintenance needs.
  4. Propose a roadmap for implementation, including regulatory approvals, financing options, and stakeholder engagement.