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Mathematical Optimization for Complex Business Decisions

Unlocking-Efficiency-Through-Advanced-Optimization

Unlocking Efficiency Through Advanced Optimization

At Hypercube Analytics, we specialize in mathematical optimization , helping businesses make data-driven, cost-effective decisions in highly complex environments. Our expertise lies in translating real-world challenges into mathematical models that optimize operations, reduce costs, and enhance performance.

We don’t just build optimization models—we create strategic decision-support systems that drive measurable improvements in efficiency, profitability, and sustainability.

What We Do

We design and implement custom optimization models tailored to industry-specific challenges. Our solutions enable businesses to balance cost, efficiency, and performance trade-offs, leading to significant financial and operational benefits.

Advanced Mathematical Modelling Expertise

We apply cutting-edge mathematical optimization techniques to model and solve complex business problems:

1. Linear Programming (LP) and Mixed-Integer Linear Programming (MILP)

  • Used for optimizing large-scale operations where decisions involve both continuous and discrete variables.
  • MILP is ideal for supply chain network design, production scheduling, workforce optimization, and transportation planning.
  • Ensures cost minimization while meeting operational constraints.

2. Non-Linear Optimization

  • Addresses problems where relationships between variables are non-linear, such as demand forecasting, dynamic pricing, and advanced scheduling problems.
  • Applied in pharma, FMCG, and manufacturing to optimize processes with diminishing returns or non-linear cost structures.
Advanced-Mathematical-Modelling-Expertise

Constraint Programming (CP)

  • Best suited for complex scheduling, sequencing, and allocation problems that involve numerous interdependent constraints.
  • Applied in production scheduling, workforce planning, and logistics optimization where flexibility and feasibility are key.
  • Helps solve hard combinatorial problems that traditional optimization techniques struggle with.

Hybrid Optimization Techniques

  • We integrate multiple techniques—such as MILP with CP or non-linear solvers —to tackle complex, multi-objective decision problems.
  • This hybrid approach is highly effective in scenarios where both feasibility (CP) and cost minimization (MILP) must be balanced, such as multi-level distribution network planning, container loading, and dispatch optimization.
  • Our models combine prescriptive analytics with machine learning , improving adaptability and responsiveness to dynamic business environments.
Constraint-Programming-CP

Areas of Work

Our models help businesses transform decision-making across multiple domains:

  • Supply Chain Network Design – Optimizing the structure of supply chains for cost efficiency, resilience, and responsiveness.
  • Supply Chain Master Planning – Aligning production, inventory, and distribution to meet fluctuating demand.
  • Multi-Level Distribution Network Planning – Managing inventory flows across complex, multi-tier networks to meet customer expectations across channels.
  • Production & Inventory Planning – Balancing manufacturing schedules with stock levels to minimize costs and shortages.
  • Production Scheduling – Optimizing resource allocation, machine utilization, and labour shifts for peak efficiency and maximizing volume throughput
  • Transportation Route Planning – Minimizing logistics costs by optimizing fleet routing and delivery schedules.
  • Container Optimization – Maximizing space utilization and cost savings in shipping and storage.
  • Dispatch Planning – Ensuring service levels to global customers through selective air-sea planning
  • Power Plant Fuel Planning – Ensuring timely and cost-effective RM procurement and fuel mix to maximize power plant economics.
Areas-Work

Industry Experience

We have successfully developed and deployed optimization models for:

  • FMCG (Fast-Moving Consumer Goods) – Optimizing distribution networks for high-volume, fast-moving products.
  • Pharmaceuticals – Managing complex production constraints, regulatory requirements, and global supply chains.
  • Industrial Manufacturing – Improving efficiency in production planning, capacity allocation, and raw material sourcing.
  • Food & Beverage – Managing perishable supply chains, minimizing waste, and optimizing production schedules.
  • D2C (Direct-to-Consumer) – Building agile, responsive supply chains for e-commerce and rapid fulfilment.
Industry-Experience

Proven Business Impact

Our optimization solutions have enabled companies to:

  • Save millions of dollars by reducing operational inefficiencies and minimizing waste.
  • Improve service levels by optimizing planning, scheduling, and resource utilization.
  • Enhance resilience by building flexible and adaptive models that adjust to uncertainties.
  • Increase profitability by balancing cost versus performance trade-offs effectively.

Our Approach: A Systematic & Proven Process

We follow a structured methodology to ensure our models deliver actionable, reliable, and scalable insights:

  • Problem Definition & Data Analysis – Understanding business constraints, objectives, and available data sources.
  • Model Development – Selecting the best mathematical approach (LP, MILP, CP, hybrid techniques) to solve the problem.
  • Verification & Validation – Ensuring the model accurately represents real-world conditions.
  • Scenario & Sensitivity Analysis – Running multiple what-if scenarios to assess model robustness.
  • Implementation & Integration – Deploying models into business systems for seamless decision-making.
  • Continuous Improvement – Refining and evolving models based on new business challenges and data.

Why Work With Us?

  • Deep Expertise in Mathematical Optimization – Years of experience in LP, MILP, non-linear programming, CP, and hybrid modelling.
  • Industry-Specific Knowledge – Proven success across FMCG, Pharma, Manufacturing, Food & Beverage, and D2C.
  • Custom-Tailored Solutions – No generic models—every solution is designed to meet your specific business needs.
  • Proven Business Value – Our models have saved clients millions and unlocked new opportunities for growth.
  • Scalable & Future-Proof – Our optimization solutions evolve with your business and market demands.