Mathematical shift scheduling
Workforce & Roster Optimization
Stop playing schedule Tetris. Automate rosters with mathematical certainty.
We engineer purpose-built constraint solvers that turn complex shift rules, union agreements, and labor laws into conflict-free, cost-optimized rosters in seconds—freeing hundreds of management hours and eliminating expensive overtime.
Spreadsheets and generic calendar tools break under real-world operational complexity.
Every schedule change causes an expensive domino effect: unbudgeted overtime, fatigue violations, client continuity lapses, and frantic morning callouts. Off-the-shelf HR tools are blind to hard labor constraints, leaving operations managers trapped in 30+ hours of weekly manual spreadsheet coordination.
Mathematically optimal schedules built around your exact labor policies and union agreements.
We formalize your operational policies—statutory rest breaks, skill matrices, fair-share rotations, and client continuity—into a high-speed mathematical solver. Rosters generate in seconds, balance worker fatigue, and eliminate costly contractor premiums before schedules are published.
What changed
- 90%+ reduction in drafting time: generate full, conflict-free shift rosters in seconds instead of days
- Direct labor cost control: eliminate unbudgeted overtime and reduce reliance on expensive emergency agency staff
- 100% compliance guarantee: automated enforcement of statutory rest intervals, maximum hours, and mandatory certifications
- Fair-share workload distribution: prevent employee burnout by objectively balancing night shifts, weekends, and on-call rotations
- Rapid disruption recovery: re-solve and plug unexpected sick leaves or surge demand in seconds without breaking overall coverage
- Full policy codification: union rules, local labor laws, and operational standards baked into code, eliminating reliance on individual planner memory
Mathematical determinism across every shift, rule, and labor law.
Hard compliance boundaries
Statutory rest intervals, working-hour limits, and mandatory certifications are treated as non-negotiable hard constraints.
Multi-objective cost optimization
The solver mathematically minimizes total wage expenditure, penalizing unscheduled overtime and agency contractor premiums.
Fatigue and fair-share balancing
Workload distribution algorithms ensure weekend, holiday, and night hours are balanced equitably across available personnel.
Real-time constraint validation
Manual planner adjustments trigger instant recalculation, immediately highlighting any compliance breach or coverage gap.
Disruption re-solver
Same-day absences and emergency surge requests are dynamically re-allocated with minimal disruption to published worker rosters.
Full auditability & decision trails
Every shift assignment and constraint waiver is logged with exact timestamps and reason codes for union and regulatory audits.
Explainable schedules with instant what-if scenario testing and safe manual overrides.
Planners don't get an opaque black box. They see clear trade-offs, compare cost and coverage options side by side, and make manual adjustments with real-time constraint validation that immediately catches conflicts before they reach the floor.
Ways to work together
Optimization Build & Handover
Certo audits your operational rules, formalizes constraints in code, builds the solver engine, and transfers a fully documented system with integration APIs.
Fixed-scope engagement with complete intellectual property, solver models, and documentation handover.Managed Optimization Operations
Certo operates and fine-tunes your scheduling engine, updating models as union contracts, labor laws, and team structures evolve.
Ongoing operational retainer with SLA guarantees for solver performance, rule maintenance, and disruption support.Losing 30+ hours a week to shift coordination and overtime leakage? Let's solve it.
Send us your shift templates, union rules, and toughest operational bottlenecks. We will model your exact constraints into a fast, explainable prototype that proves feasibility on your real workforce data.