Mathematical Optimization

Find the best feasible plan when goals conflict and resources are limited—using rigorous operations research methods.

What this service covers

Optimization turns a messy planning problem into a clear model: decision variables, an objective (cost, coverage, impact, profit), and the constraints you cannot ignore. The result is not a vague recommendation—it is a concrete schedule, allocation, or plan you can implement and stress-test.

Grounded in operations research, Delta-G Solution builds models that match the fidelity your data and timeline support— from transparent spreadsheet-scale formulations to production solvers.

Problem types we take on

  • Staff, volunteer, and shift scheduling under coverage rules
  • Budget and grant allocation across programs or regions
  • Inventory, capacity, and production planning
  • Routing and logistics for field teams or deliveries
  • Portfolio selection with risk or fairness constraints
  • What-if scenarios when a constraint or cost changes

Method, without the jargon fog

Depending on the problem, we use linear and mixed-integer programming, network models, heuristics where exact methods don’t scale, and sensitivity analysis so you understand which assumptions drive the answer.

Modeling workshop

Constraints and objectives are elicited with the people who live the process—so the math reflects reality, not a textbook.

Solve and compare

Baseline vs. optimized plans are compared on the metrics you care about, including secondary effects and fairness.

Handoff

You receive a usable plan, documentation of the model, and—when useful—a lightweight tool to re-run as inputs change.

Best fit

Organizations that already know “we’re leaving value on the table” in scheduling, routing, or allocation— and want a mathematically defensible improvement, not another brainstorming session.