Shipping

The shipping industry, with its ever-changing challenges, can benefit from mathematical optimization. Navigate the complexities of the shipping industry with solutions that can drive down costs, accelerate operations, and enhance sustainability in your operations. 

With current and future industry challenges, it is more important than ever to optimize your operations and drive operational efficiency. 

Efficiency can begin at the vessel and continue at the port. Optimization algorithms can help you manage every aspect of container operations, from loading and unloading to stacking. When you aim to save time and space, mathematical optimization is the best approach to take. 

  • Container Loading: Mathematical optimization can help determine the most efficient way to arrange containers within a vessel’s holds and on deck, considering dimensions, weight and destination. With this approach, we utilize the available data to help you streamline your process and optimize the use of space, enabling more cargo per voyage and directly increasing revenue.
  • Container Unloading: Rather than a wait-and-see approach, mathematical optimization can help you pre-plan the loading sequence with unloading in mind, minimizing the number of container movements required to access specific cargo at the port. Taking these steps can help you speed up the unloading process, reduce labor costs, and minimize vessel turnaround time at the port. 
  • Container Stacking: Optimal stacking arrangements can be achieved through mathematical optimization. Models calculate the optimal stacking arrangements and consider weight distribution to ensure stability and prevent damage. With the right model, you can see higher stacks and an increase in storage density within the available footprint.

Optimization models consider the weight distribution of containers to ensure the safety and stability of the vessel. Data is taken into account for accuracy to ensure the safety of the ship, crew, and cargo. 

Mathematical optimization models can make stacking efficient. Facilitating quicker retrieval of containers for transportation, reducing waiting times, and port congestion. It can also optimize stacking plans that reduce unnecessary reshuffling to access specific units, and this reduces the potential for damage due to handling. 

Results validation and mathematical optimization go hand in hand and are crucial for improving efficiency and reducing costs. Ensure the quality and reliability of the solutions generated through a robust validation process. 

Test real-world scenarios with confidence and rely on data-driven decision making, which provides you with the best solution for your specific needs. With mathematical optimization, you can:

  • Reduce costs.
  • Improve efficiency.
  • Have a more resilient supply chain process.

Unlock efficiency in your shipping operations with mathematical optimization, ensuring your plans are safe, feasible, and deliver the intended benefits in real-world shipping operations. This combination of optimization and validation leads to more efficient, cost-effective, and safer maritime logistics.


Approach unique challenges with unique solutions every time, based on your unique data. Modaai can help build mathematical models designed to maximize the power of your data and your needs. Explore the methods behind the solutions.


We are Modaai

Modaai has Operations Research PhDs with over 25 years of modeling and tuning experience. We can tackle your toughest problems. Whether you want us to take over your optimization project completely or supplement your team with training, model design, or model tuning, we can support you. Are you ready to explore your options with mathematical optimization? Contact us or schedule a free consultation with our expert PhDs to get started.