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Make decisions based on mathematical optimality

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Logistics and transport: Mathematical AI optimization of fleet investments, hub locations, automation and infrastructure

Capital allocation from prioritization to mathematical optimization

Companies usually prioritize projects based on business cases, rankings and committee decisions. This approach seems rational, but does not take into account the entire decision-making space.

There are already over 1 billion possible portfolio combinations for 30 projects and over 1 quadrillion for 50 projects. Traditional methods cannot fully evaluate this space. They select a plausible solution - but not necessarily the optimal one.

Project Portfolio Optimization AI calculates the optimal project portfolio under your real constraints - including budget, resources, risk and strategic guidelines. The result is a comprehensible, mathematically sound decision-making basis for capital allocation.

For decision-makers, this means a structural difference: decisions are no longer based on approximation, but on calculated optimality.

Starting point: The complete investment list before the actual decision

The decisive difference in this new calculation method lies in the time of application: it is not used for validation after the decision has been made, but before the actual decision is made, based on the company's complete investment and project list.

Typically, there is a list of potential CAPEX projects - e.g. plant modernizations, IT transformations, product developments, Infrastructure measures or efficiency programs. At the same time, there are fixed restrictions such as a limited overall budget, limited engineering capacities, Production windows, risk budgets and strategic framework conditions.

This is precisely where the real decision-making problem arises: not all projects can be implemented. The question is therefore not which projects appear to make sense in isolation, but rather which combination of these projects forms the globally optimal overall portfolio under the given restrictions.

The new calculation method therefore does not evaluate individual projects in isolation, but calculates from the complete project list the optimal portfolio, taking into account all budget, capacity, risk and strategy limits. The result is a mathematically sound The result is a mathematically based selection of those projects that together generate the maximum overall value contribution - before the actual investment decision is made. Deviations from the calculated optimal starting position are made with explicit visibility of the resulting opportunity costs and their quantifiable impact on the overall portfolio value.

This transforms CAPEX planning from a sequential selection process to a consistent portfolio optimization, in which opportunity costs, restriction bottlenecks and portfolio effects are fully taken into account.

Projects do not disappear - they are better positioned and optimally planned over several years

In a mathematically optimized investment system, projects are not discarded. Instead, they are reprioritized, postponed or strategically repositioned, so that they make the maximum economic contribution to the overall portfolio at the optimum time under given budget, capacity and risk restrictions the maximum economic contribution to the overall portfolio.

The decisive factor here is the multi-year perspective. Investment decisions are not made in isolation for a single year, but are optimized in the context of 2-, 3-, 5- or 10-year plans.

Liquidity generated by optimization in the start year is systematically carried over to the following year transferred to the following year. This increases the available investment budget for the next period. This subsequent year is then also optimized again.

The effect: projects can be added as soon as they fit into the globally optimized portfolio under the new budget, capacity and return conditions, Capacity and return conditions fit into the globally optimized portfolio. This creates a dynamic multi-year optimization in which each optimization period Optimization period structurally improves the investment opportunities of the following years.

Logistics example:

10 projects. Fixed budget: EUR 850 million. Total investment costs: EUR 2088 million .

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From mathematical model to practical application

The optimization logic can be used across all industries and can be applied to real investment, CAPEX, R&D and infrastructure portfolios. The decisive factor is not the type of project, but the structure of the decision: limited resources, competing options and clear constraints.

At the same time, the system architecture has been consistently designed for data minimization and confidentiality. Only numerical project parameters are required for the calculation. Content descriptions, strategy papers or project-specific narratives are neither required nor interpretable.

Below you can see specific use cases and the underlying data protection and data minimization architecture.

Executive Summary

The logistics and transportation industry is the backbone of the global economy. Companies continuously invest in vehicle fleets, distribution centers, automation technologies and infrastructure in order to optimize efficiency, speed and cost structure.

These investments tie up capital over periods of 5 to 30 years and determine the long-term competitiveness of a logistics company.

Economic success is not determined by individual investment decisions, but by the mathematical optimality of the entire investment portfolio under real budget, capacity, demand and infrastructure restrictions.

With just a few dozen potential investment projects, an exponentially growing decision space arises that cannot be fully analyzed using traditional decision-making processes.

Project Portfolio Optimization AI makes it possible for the first time to calculate the globally optimal investment portfolio and transforms capital allocation in logistics companies from heuristic planning to mathematically optimal decision-making.

1. Logistics companies as combinatorial capital allocation systems

Logistics companies operate under multiple simultaneous restrictions:

  • CAPEX budgets for vehicle fleets and infrastructure
  • Hub and distribution network structure
  • Transportation capacity and demand volatility
  • Degree of automation of storage and sorting systems
  • Energy and decarbonization strategies
  • Location strategies and geographic networks
  • Service level requirements and delivery times

Typical investment projects include:

  • Renewal or expansion of vehicle fleets (trucks, delivery vehicles, airplanes)
  • Construction of new logistics hubs and distribution centers
  • Automation of sorting and storage processes
  • Electrification or decarbonization of the transport fleet
  • Optimization of existing infrastructure
  • Expansion of international logistics networks

Each project has measurable parameters:

  • Expected economic contribution (Ri)
  • Investment costs (Ci)
  • Capacity impact
  • Reduction in operating costs
  • Strategic contribution to network optimization
  • Risk and implementation time

The aim is to select the optimum project combination

max Σ Ri xi
s.t. Σ Ci xi ≤ Budget
xi ∈ {0,1}

2. The combinatorial reality of logistical investment decisions

There are already 40 potential investment projects:

2⁴⁰ = 1,099,511,627,776 possible investment portfolios

With 60 projects:

2⁶⁰ = 1,152,921,504,606,846,976 possible combinations

This order of magnitude fundamentally exceeds the analytical capacity of traditional decision-making processes.

In practice, decision-making is typically based on

  • isolated business case evaluations
  • Prioritization lists
  • incremental network planning
  • budget-based investment decisions

These methods approximate a solution - they do not calculate the global optimum.

3. Typical investment decisions in logistics and transportation

Example 1: Fleet modernization and electrification

A company is faced with a decision:

  • Continue to operate existing vehicle fleets
  • Partial modernization of the fleet
  • Complete conversion to electric or alternative drive systems

This decision has a long-term impact:

  • Operating costs over decades
  • Maintenance costs
  • Energy efficiency
  • regulatory risks

Example 2: Hub location and distribution network strategy

Options include:

  • Expansion of existing hubs
  • Establishment of new regional distribution centers
  • Consolidation of existing infrastructure

These decisions influence:

  • Transportation cost structure
  • Delivery times
  • Network efficiency
  • Scalability of the company

Example 3: Automation of logistics centers

Investment options:

  • Maintain manual processes
  • Partial automation of existing infrastructure
  • Complete automation of new logistics centers

These decisions have a long-term impact:

  • Personnel cost structure
  • Throughput capacity
  • Error rates and efficiency
  • operational scalability

4. Interdependencies of logistics investment decisions

Investment decisions in logistics networks are highly interdependent:

  • Hub locations influence transportation costs and delivery times
  • Fleet structure influences capacity and operating costs
  • Automation influences throughput and scalability
  • Infrastructure decisions influence long-term competitiveness

It follows from this:

Portfolio value ≠ sum of isolated investment decisions

But:

Portfolio Value = f(network structure, capacity, restrictions and strategic orientation)

5. Mathematical foundation of Portfolio Optimization AI

Formally, this is a combinatorial optimization problem:

max Rᵀx
s.t. Ax ≤ b
x ∈ {0,1}

With:

  • x = selection of investment projects
  • R = economic contribution
  • A = Restriction matrix (budget, capacity, infrastructure, demand)
  • b = Restriction limits

6. Specific use cases for portfolio optimization AI in logistics companies

  • Optimization of fleet investments
  • Optimal location planning of logistics hubs
  • Automation strategy for distribution centers
  • Optimization of global logistics networks
  • Infrastructure investment planning
  • Decarbonization and energy optimization strategies

7. Economic impact and company value

With typical investment volumes of:

€ 500 million to € 5 billion per year

an improvement in capital allocation of only:

5 %

leads to additional value creation of:

€25 million to €250 million per year

Over the lifecycle of logistics infrastructure, this equates to billions in additional enterprise value.

Conclusion

Logistics companies operate in highly complex investment environments with long-term capital commitments and interdependent infrastructure decisions.

Portfolio Optimization AI enables the complete mathematical optimization of logistics investment portfolios for the first time.

This marks the transition from heuristic infrastructure planning to mathematically optimized strategic management in logistics and transport.

Make decisions based on mathematical optimality

StratePlan calculates the optimal project portfolio under your real framework conditions.

Start StratePlan