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Solutions

Four problems that decide what an operation costs.

Gradient Path is deliberately general: it understands activities, connections and limits, not trucks or nurses. Each application describes its own world, and the platform does the rest.

Problem classes

Four problem types, solved on the same platform.

Routing

Getting vehicles, goods and people where they need to be, for the least cost and distance.

Scheduling

Sequencing work across time and resources without breaking the rules that govern it.

Rostering

Rosters and shift patterns that meet demand, contracts and staff preferences at once.

See Shift Optimization, our rostering application →

Assignment

Matching limited resources — aircraft, machines, crews — to the work that needs them.

Tasks, Routes and Rosters
A network from a source S to a sink T. Five routes each pass through a chain of task nodes: route 1 through tasks 1, 2, 4, 7; route 2 through tasks 3, 5, 8; route 3 through tasks 6, 9, 10, 12; route 4 through tasks 13, 14, 15, 16; route 5 through tasks 17, 18, 19, 20. S Source T Sink 1 2 4 7 3 5 8 6 9 10 12 13 14 15 16 17 18 19 20
  • SSource
  • TSink
  • 1Task (node)
  • Route / path
  • Route 1 (Sink 1)

    S 1 2 4 7 T

    Tasks covered: 1, 2, 4, 7

  • Route 2 (Sink 1)

    S 3 5 8 T

    Tasks covered: 3, 5, 8

  • Route 3 (Sink 1)

    S 6 9 10 12 T

    Tasks covered: 6, 9, 10, 12

  • Route 4 (Sink 1)

    S 13 14 15 16 T

    Tasks covered: 13, 14, 15, 16

  • Route 5 (Sink 1)

    S 17 18 19 20 T

    Tasks covered: 17, 18, 19, 20

Applications

Where it is put to work.

  • Vehicle routing Delivery and collection rounds under capacity, time-window and driver-hours limits.
  • Pickup & delivery Loads that must be collected and dropped in order, on the same vehicle.
  • Aircraft tail assignment Matching individual aircraft to flight schedules around maintenance and turnaround rules.
  • Nurse rostering Ward coverage that respects contracts, rest requirements and staff preferences.
  • Bus duty scheduling Building legal, efficient driver duties from a timetable of trips.
  • Workforce shift scheduling Staffing to demand across sites, skills and availability.

Applied in operations including:

Transport & logistics Aviation Healthcare Public transport Retail & distribution Field service

Not listed here? The platform is domain-agnostic — if your problem is about sequencing activities under limits, tell us what it looks like.

Next

How the platform reaches those answers.

The method behind all of it: a global search, made fast enough to use.