Scheduling where every rule, skill, and preference is mathematically balanced.

How APOLLO Uses Integer Linear Programming to Build Optimal Schedules.

Optimal scheduling
No manual work
Reliable throughout the day

Advanced Mathematical Optimization

APOLLO Scheduler uses advanced mathematical optimization to turn complex staffing rules into reliable schedules.

At its core, the system applies Integer Linear Programming (ILP), a proven optimization method used in industries where decisions must be precise and constraints cannot be broken.

Read more about ILP

Inputs & Data Model

Scheduling and optimization

Recalculation and scenario handling

System architecture and integration

System architecture and integration

Inputs & Data Model

APOLLO Scheduler currently operates as a standalone scheduling engine with file-based data ingestion. The following inputs are imported via CSV files:

  • Agent attributes and qualifications
Skills, certifications, language capabilities, seniority, and role eligibility.
  • Agent availability and contractual constraints
Working hours, availability windows, time-off, part-time or full-time rules, and labor constraints.
  • Demand forecasts
Call volume or workload forecasts by time interval and queue, including skill requirements.

These inputs are normalized and validated before entering the optimization process.

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Scheduling and optimization

The ILP model assigns agents to shifts and activities based on:

  • Forecasted demand per interval and skill group
  • Agent eligibility and availability
  • Coverage, fairness, and contractual constraints
  • Optional preferences and prioritization rules

The solver evaluates millions of possible assignments to produce a schedule that minimizes understaffing, overstaffing, and rule violations while respecting operational priorities.

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Recalculation and scenario handling

APOLLO Scheduler supports rapid re-optimization when input data changes. Updated CSV inputs can be reprocessed to generate revised schedules, enabling near real-time scenario evaluation for:

  • Forecast changes
  • Absence updates
  • Constraint or rule adjustments

This allows operations teams to test and compare scenarios without rebuilding schedules manually.

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System architecture and integration

APOLLO Scheduler is designed as a modular microservice focused solely on scheduling intelligence. At present, it does not expose an API or provide direct system-to-system integrations.

Instead, it integrates through structured CSV import and export, making it compatible with existing HR, WFM, and forecasting tools without requiring architectural changes.

This approach allows organizations to:

  • Retain existing systems of record
  • Control data exchange and validation
  • Introduce advanced optimization without infrastructure disruption

Future API-based integrations can be added without changing the core optimization logic.

Get in touchBook a demo

System architecture and integration

APOLLO Scheduler is designed as a modular microservice focused solely on scheduling intelligence. At present, it does not expose an API or provide direct system-to-system integrations.

Instead, it integrates through structured CSV import and export, making it compatible with existing HR, WFM, and forecasting tools without requiring architectural changes.

This approach allows organizations to:

  • Retain existing systems of record
  • Control data exchange and validation
  • Introduce advanced optimization without infrastructure disruption

Future API-based integrations can be added without changing the core optimization logic.

Get in touchBook a demo

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Frequently asked questions.

Why choose for Apollo Scheduler

Apollo Scheduler goes beyond traditional workforce management tools by using AI-driven forecasting and optimization to build schedules that truly reflect operational reality. It analyzes demand patterns, agent availability, skills, preferences, and business rules to generate high-quality schedules that balance service levels with employee satisfaction. Instead of manual adjustments and static rule-based planning, you get intelligent automation that adapts to change.

The result is improved efficiency, better forecast accuracy, and schedules your teams can rely on. For contact centers seeking smarter workforce scheduling software, Apollo Scheduler delivers precision, transparency, and measurable operational impact.

How much time do you save with Apollo Scheduler

Apollo Scheduler reduces workforce scheduling time by up to 60% – 80% compared to traditional workforce management tools. Instead of manual adjustments, rule-based templates, and repeated rework, our AI-driven scheduling engine automatically combines demand forecasting, agent availability, skills, preferences, and operational constraints into one optimized schedule.

Planners spend less time fixing conflicts and more time improving strategy. The result is not only faster schedule creation, but higher schedule quality, better service level performance, and fairer shift distribution.

Contact centers gain efficiency, while agents benefit from schedules that reflect real preferences and operational reality.

What is ILP?

ILP stands for Integer Linear Programming. It is a mathematical optimization method used to solve complex workforce scheduling problems with many constraints.

In Apollo Scheduler, ILP is the core of the AI-driven scheduling engine. Instead of applying fixed rules like traditional workforce management tools, ILP evaluates millions of possible schedule combinations and selects the one that best meets forecasted demand, service level targets, labor rules, skills, availability, and agent preferences.

The result is a high-quality contact center schedule that improves operational efficiency, reduces manual adjustments, and creates fair, balanced shifts that support both performance and agent satisfaction.

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