Technology

Optimization Problems We Solve

Operational problem classes where Helixor turns reasoning into execution

Standalone solvers optimize a model; they do not own the knowledge, exceptions, and approvals around it. Helixor runs optimization inside one stack with reasoning and workflow—so the plan you compute is the same plan your operators can execute and defend.

Core Problem Families

Helixor is built for the operational decisions that carry real cost, compliance risk, and execution complexity — problems where a near-miss is not good enough and constraints cannot be negotiated away.

Vehicle Routing

Multi-vehicle dispatch and routing across capacity, delivery windows, territory rules, and driver constraints — with live replanning when conditions shift.

  • · Time windows, vehicle capacity, and multi-depot support
  • · Driver certifications, hours-of-service, and territory rules
  • · Dynamic re-routing when orders, cancellations, or delays arrive mid-day
  • · Mixed fleet types with different cost and capability profiles

Fewer missed windows, better utilization, and operator visibility into tradeoffs — not just a static route on a map.

Employee Rostering

Shift and schedule planning that balances coverage requirements, labor regulations, individual skills, and fairness — across healthcare, logistics, retail, utilities, and beyond.

  • · Mandatory coverage levels and skill-mix requirements
  • · Labor law compliance — rest periods, overtime, and contract rules
  • · Preference-based scheduling and fairness constraints
  • · On-call management and same-day gap filling

Applicable to any industry where people are scheduled — healthcare, logistics, retail, field services, security, and more.

Order Batching & Wave Planning

Grouping and sequencing orders for pick, pack, and release — balancing throughput, SLA deadlines, geography, and capacity in real time.

  • · Priority order handling and SLA window enforcement
  • · Pick-path optimization and zone consolidation
  • · Capacity-aware wave release to prevent congestion
  • · Real-time adjustments as new orders arrive

Higher throughput, fewer SLA misses, and better customer experience — without forcing operators to resolve the tradeoffs manually.

Reservation & Space Allocation

Assignment and allocation decisions across a constrained inventory of rooms, seats, appointments, or assets — balancing availability, preferences, revenue, and operational rules.

  • · Upgrade and downgrade logic with loyalty and preference rules
  • · Overbooking management with controlled displacement
  • · Group blocks, stay-pattern constraints, and adjacency rules
  • · Revenue objective alongside service and operational constraints

Stronger revenue per available unit, fewer operational conflicts, and allocation decisions that hold up when guests arrive.

Field Service Scheduling

Skills-based dispatch, appointment scheduling, and travel coordination for technicians, inspectors, and service crews operating under tight SLA and compliance requirements.

  • · Skills, certifications, and parts-availability matching
  • · SLA tier enforcement and priority escalation
  • · Travel time minimization with territory and shift constraints
  • · Same-day re-dispatch when cancellations or emergencies arise

Better first-time fix rates, lower travel cost, and the ability to adapt the day's schedule without manual firefighting.

Inventory & Supply Planning

Stock positioning, replenishment timing, and procurement coordination across demand signals, lead times, and multi-location constraints — with hard rules for service levels and cost targets.

  • · Safety stock and reorder point optimization across locations
  • · Supplier lead times, MOQ rules, and contract constraints
  • · Demand forecast integration with constraint-enforced targets
  • · Multi-echelon balancing across warehouses and distribution nodes

Lower carrying costs, fewer stockouts, and procurement decisions that stay within financial and operational guardrails.

How Optimization Fits the Larger Platform

The strongest Helixor story is not optimization in isolation. It is optimization supported by reasoning, knowledge, and workflow—so the output can be trusted, interpreted, and executed.

Reasoning

Optimization is strongest when paired with a reasoning layer that can represent problem structure, support multi-step decisions, and explain why a solution path was chosen.

Knowledge Bases

Knowledge bases add governed context: policy, operating rules, source material, and evidence that help shape which decisions are valid, preferred, or risky.

Workflow & Review

Optimization outputs become more valuable when they move into approval, exception handling, escalation, and execution workflows—rather than living as isolated results.

Beyond narrow solvers

Traditional optimizers can be strong point tools but often stop at narrow solve tasks. Helixor extends that with the broader decision context—policies, evidence, human-in-the-loop steps, and traceability—while driving toward valid allocations and schedules.

The same stack that evaluates tensor-constraint rules can fold optimization into the path: refine toward better valid states—not unsupported drafts cleaned up after the fact. Forecasting and cross-domain structure from the math layer can feed operational models when representations stay explicit and inspectable.

Built for Live Operations

Static solvers produce a plan at 8am. Helixor produces a plan that can respond — without re-running the full solve every time conditions shift.

Incremental Re-planning

When a driver drops out, a time window shifts, or a new order arrives, Helixor re-solves only the affected portion of the plan — not the whole problem from scratch.

Constraint-Aware Repair

Repairs stay within the same hard constraints as the original plan. You don't get a fast answer that quietly breaks your service agreements or labor rules.

Operator Visibility

Every repair surfaces what changed, what was preserved, and why — so dispatch teams can approve or escalate with full context, not just a new route on a screen.

Why Executives Care

These are not abstract math problems. They are recurring operating decisions with direct cost, service, and compliance impact.

Helixor can frame optimization as part of a broader decision system—where rules, evidence, and workflows shape how recommendations become action.

That makes the value story easier to explain: lower manual coordination cost, better operating consistency, and faster time from decision to execution.