Your Unique Challenge. Our Mathematical Expertise. Proven Results.
We leverage comprehensive mathematical modeling and custom code to formulate and solve complex optimization problems—tailored entirely to your specific operational reality.
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Who Are Our Services For?
Organizations with Unique Scheduling Problems
Companies whose scheduling challenges don't fit neatly into standard software categories—multi-resource, multi-constraint problems that require custom formulation.
Businesses Outgrowing Spreadsheet Solutions
Organizations that have hit the limits of Excel-based planning and need a step up to mathematical optimization without buying enterprise software they'll never fully use.
Companies with Complex Resource Allocation
Businesses distributing limited resources (people, machines, vehicles, budgets) across competing demands and need provably optimal allocation strategies.
R&D and Engineering Teams
Technical teams that know their problem is an optimization problem but lack the operations research expertise to formulate and solve it properly.
Government & Public Sector Organizations
Municipalities, agencies, and public institutions optimizing service delivery, infrastructure planning, or resource distribution with transparency and fairness requirements.
Startups & Scale-Ups with Optimization at Their Core
Technology companies building products that require embedded optimization engines—needing expert formulation, solver integration, and algorithm design.
The Reality in Custom Operations
Many organizations face operational challenges they know could be optimized—but their problem doesn't fit into any off-the-shelf tool. They've tried generic software, hired consultants, or built internal tools, but the results are always a compromise.
The gap between knowing your problem is solvable and actually having it solved mathematically is where most organizations get stuck. Operations research expertise is rare, and without proper formulation, even the best solver technology produces mediocre results.
Your operational problem doesn't fit any standard software solution
Internal teams lack the mathematical optimization expertise to solve it
Current heuristic or rule-based approaches leave significant value on the table
You know there's a better solution—but don't know how to get there
Why Virtual Optima?
We are operations research specialists. Our core competency is taking complex, real-world problems and transforming them into mathematical models that deliver optimal or near-optimal solutions.
"The Architect" Pose
Owner A, Technical Lead - The Architect
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World-Class Formulation Expertise
With 20+ years of academic and applied research, we know how to formulate problems correctly—the single most important step in any optimization project.
Solver-Agnostic Approach
We select the right solving technology for your problem—commercial solvers (Gurobi, CPLEX), open-source tools, metaheuristics, or custom algorithms—based on what delivers the best results.
End-to-End Delivery
From problem understanding and mathematical formulation to implementation, testing, and deployment—we handle the entire pipeline, not just the academic modeling.
Knowledge Transfer
We don't just deliver a black box. We document our models, explain the approach, and empower your team to understand and maintain the solution long-term.
Practical Examples from the Industry
Custom Optimization Solutions in Action
Challenge: Multi-Resource Scheduling
An organization needs to assign hundreds of tasks to dozens of resources across multiple locations, respecting skill requirements, time windows, and fairness constraints—far beyond what any calendar tool can handle.
Solution
We formulate the problem as a mixed-integer program, modeling every constraint explicitly and optimizing for cost, fairness, and completion time simultaneously.
Results
- <span class='hand-drawn-highlight variant-1'>Mathematically optimal</span> task assignments
- All constraints satisfied simultaneously
- <span class='hand-drawn-highlight variant-2'>60% reduction</span> in planning time
- Transparent, reproducible results
Expert Note: Most systems miss optimizations like this because they don't account for multiple constraints simultaneously.
Challenge: Budget & Resource Allocation
A public institution needs to distribute a limited budget across competing projects to maximize community impact while respecting political, geographic, and temporal constraints.
Solution
We build a multi-objective optimization model that balances impact, equity, and feasibility—providing decision-makers with a set of Pareto-optimal allocation strategies.
Results
- Data-driven allocation decisions
- Transparent fairness criteria
- Multiple scenario comparisons
- Maximized impact per euro spent
Expert Note: Most systems miss optimizations like this because they don't account for multiple constraints simultaneously.
Challenge: Network Design & Flow Optimization
A company needs to determine the optimal number and location of facilities (warehouses, service centers, hubs) to minimize total cost while meeting service level requirements across a geographic region.
Solution
We model the facility location and network flow problem, solving for optimal placement, capacity sizing, and assignment of demand to facilities.
Results
- Optimal facility placement and sizing
- <span class='hand-drawn-highlight variant-3'>18% reduction</span> in total logistics cost
- Service level guarantees maintained
- Scalable to future demand growth
Expert Note: Most systems miss optimizations like this because they don't account for multiple constraints simultaneously.
Challenge: Embedded Optimization for Software Products
A technology startup needs a high-performance optimization engine embedded in their SaaS product to solve customer-facing scheduling problems in real time.
Solution
We design and implement a custom optimization algorithm tailored to their problem structure, optimized for speed and scalability, and delivered as an API-ready module.
Results
- <span class='hand-drawn-highlight variant-1'>Sub-second solve times</span> for production use
- Scalable to thousands of concurrent users
- Clean API integration
- Ongoing algorithm improvement support
Expert Note: Most systems miss optimizations like this because they don't account for multiple constraints simultaneously.
Let's Work Together!
From problem understanding to deployed solution – a clear, proven process.
"The Welcome" Pose
Owner B, Business Expert
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Initial Consultation
We listen to your problem, ask the right questions, and assess whether mathematical optimization is the right approach. No jargon, no pressure.
Modelling
We formulate your challenge as a mathematical optimization problem, select the right solving approach, and build a working prototype.
Implementation & Testing
We develop the production-ready solution, integrate it with your systems, and validate results against real data and expert judgment.
Optimization & Support
Ongoing model refinement, performance monitoring, and support as your business evolves and new constraints emerge.
Typical Project Timeline
Initial results within 2-4 weeks | Full implementation in 6-8 weeks
FAQ
Everything you need to know about custom optimization projects.
How do I know if my problem is an optimization problem?
If you're trying to find the best way to allocate, schedule, route, assign, or sequence something under constraints—it's likely an optimization problem. In our initial consultation, we'll assess this together and be honest about whether our approach fits.
What's the difference between your approach and hiring a data scientist?
Data scientists excel at prediction and pattern recognition. We specialize in prescriptive optimization—finding the best decision, not just predicting outcomes. These are complementary but different skill sets.
How long does a custom project take?
Typical projects range from 2–6 months depending on complexity. A simple scheduling problem might take 8 weeks; a multi-facility network design could take 6 months. We define milestones and deliverables upfront.
Can you work with our existing data and systems?
Yes. We integrate with whatever data sources and systems you have—databases, APIs, Excel files, ERP exports. We adapt to your infrastructure.
Will we own the solution?
Yes. All custom-developed models and code are delivered to you with full documentation. We build solutions you own and can maintain—not vendor lock-in.
What does a custom project cost?
Pricing is project-based and depends on complexity, scope, and timeline. After the initial consultation, we provide a detailed, transparent proposal. Contact us to discuss your challenge.
Still have questions?
We're happy to discuss your specific optimization challenges in detail.
Schedule a ConsultationHave a complex problem that needs a smarter solution?
Tell us about your challenge. We'll assess whether mathematical optimization can help—and show you what results to expect.
"We personally assess every challenge within 24 hours"
— Tim & Reto
"The Partner Guarantee"
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