kint
All Problem Types

Workforce Scheduling

Create optimal shift plans matching staffing to demand, respecting labor laws, skill requirements, employee preferences, and budget constraints.

NP-hard

Complexity

Why Workforce Scheduling Is Hard

Labor law complexity

Working time regulations, mandatory rest periods, maximum consecutive days, overtime rules. These create a dense web of constraints that vary by jurisdiction.

Demand variability

Staffing needs change by hour. A retail store needs 3 people at 10 AM and 12 people at 2 PM on Saturday. Matching staff to these curves is hard.

Employee heterogeneity

Skills, certifications, preferences, part-time contracts, availability windows. Each employee is different, making assignment combinatorially complex.

Real-World Example

What This Looks Like in Practice

A retail chain schedules 300 employees across 45 locations for peak season. Predicted foot traffic varies from 50 to 500 visitors per hour per location. 40% of staff are part-time with varying availability. Each location needs at least one certified first-aid responder per shift. Labor law requires 11 hours between shifts. The scheduling team currently spends 3 days per week building the schedule. The result covers 85% of demand peaks. kint builds a schedule that covers 98% of peaks, costs 20% less, and is ready in minutes.

Approach

How kint Solves Workforce Scheduling Problems

01

Forecast demand per location

ML predicts foot traffic, call volume, or workload by hour and location from historical patterns.

02

Model shifts and constraints

Employee availability, skills, labor laws, budget limits, fairness rules. All become constraints in the optimization model.

03

Solve with MIP + CP hybrid

Integer programming assigns shifts. Constraint programming handles complex labor law rules. The hybrid approach handles both efficiently.

04

Publish and adjust

Employees see their schedules. Swap requests trigger re-optimization. Coverage stays optimal even as plans change.

Technical Details

Workforce scheduling combines integer programming for shift assignment with constraint programming for complex labor law compliance. kint handles multi-skill, multi-location scheduling with demand forecasting integration.

MIPCPML Demand Forecasting

Impact

What Changes

Scheduling time

3 days/week

Minutes

Demand coverage

85% of peak hours

98%

Labor cost

Baseline

-20%

Position fill rate

91%

98%

Shift fairness

Inconsistent patterns

Balanced distribution

Example

Input

Schedule 300 staff across 45 locations for peak season, matching predicted foot traffic with skill requirements and labor law constraints.

Output

Optimal shift plans with 20% lower labor cost, 15% better coverage, and 98% position fill rate.

-20%

labor cost

+15%

coverage

98%

fill rate

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