PLAN

How do you assign limited resources to competing demands without leaving value on the table?

Why it's Tough

The number of possible schedules explodes combinatorially. A shift schedule for 50 employees across 3 weeks has more possible combinations than atoms in the universe. Spreadsheets and rules-of-thumb leave enormous value on the table.

Our Approach

We model these as constraint satisfaction and integer programming problems, then solve them with specialized engines (MILP solvers, CP-SAT) that find optimal or near-optimal solutions in seconds. The result: schedules that actually work, with provable guarantees about quality.

TECHNICAL COMPETENCIES & KEYWORDS

scheduling, workforce planning, capacity planning, rostering, dispatch planning, constraint satisfaction, MILP, CP, integer programming

USE CASES FOR PLAN

9 EXAMPLES

Production Scheduling and Optimization\ \ Optimize production scheduling to allocate limited manufacturing resources to competing tasks while minimizing completion time, costs, and meeting delivery deadlines in complex job shop environments.

Power Generation Optimization\ \ Determine optimal generation dispatch across thermal, renewable, and storage assets while balancing costs, emissions, and reliability constraints in real-time across complex grid infrastructure.

Maintenance Optimization\ \ Design optimal maintenance strategies balancing preventive, predictive, and corrective approaches while minimizing production disruption and ensuring equipment reliability.

Production Line Balancing\ \ Balance production line workloads and schedule manufacturing operations to maximize throughput, eliminate bottlenecks, and optimize resource utilization across complex workflows.

Liquidity and Rebalancing Planning\ \ Optimize portfolio rebalancing strategies to maintain target allocations while managing transaction costs, liquidity constraints, and cash flow requirements.

Dock Door and Labor Scheduling\ \ Optimize dock door assignments and labor schedules to minimize truck wait times and maximize warehouse throughput while handling real-time disruptions.

Personnel Scheduling and Assignment\ \ Assign the right employees with the right skills to the right shifts at the right time, while balancing complex constraints including labor laws, employee preferences, demand forecasts, and cost optimization.

Supply Planning and Inventory Management\ \ Optimize inventory levels and supply planning across multi-echelon networks to balance working capital, service levels, and demand uncertainty.

Clinical Trial and Manufacturing Scheduling\ \ Create optimal timelines and resource allocations for clinical trials and pharmaceutical manufacturing under strict regulatory compliance.