Factory Floor Lab

00:00

-- fps

Missions

Feed the line: ship 10 boxes
Find the constraint: tap the busiest station
Reach 2.2 boxes per minute (WIP at most 12)

Program the robot (M2) comes in v1.1.

Tap a tool to add it before the dock. Tap a tile to edit it.

Loading the factory floor...

3D needs WebGL

This browser or device has WebGL turned off. The line still works in the 2D schema, and the numbers are the same.

Try another browser, or enable hardware acceleration in its settings.

Machines

Statistics

The science

The numbers come from a discrete-event model of the line (not a video of boxes). Each formula below is checked by a separate test that runs without a browser.

TH = min_i mu_eff,i (boxes/s, shown per minute)

mu_i = 1 / c_i ; u_i = busy time / elapsed time

L = lambda W (Little: items in system = arrival rate x time in system)

M/M/1: L = rho/(1-rho), W = 1/(mu-lambda), rho = lambda/mu

M/M/1/K blocking: P_K = (1-rho) rho^K / (1-rho^(K+1))

Robot joint: t = theta/omega + omega/alpha (if theta ≥ omega^2/alpha), else 2 sqrt(theta/alpha)

Kingman: Wq ~ (ca^2 + cs^2)/2 * rho/(1-rho) * tau

OEE = A x P x Q (availability x performance x quality)

Simplifications (honest)

Conveyors add a transit delay L/v; they are not modelled as a capacity limit in this version.
Joints move independently; no inertia or torque. The arm is drawn from the same profile, not a physics engine.
Breakdowns are random (exponential up-time and repair). Preventive maintenance is not modelled.
The Kingman line is an approximation; the simulation is the reference. Expect about 20 % error at high load.
Not affiliated with any equipment maker. Guards and emergency stops are teaching concepts, not a safety design.

Settings

Graphics quality

High is the default on every device. Low turns off shadows and limits resolution. You can also add ?q=low to the address.

Reduced motion (no camera drift) Theme

Sound is not in this version.

Welcome to the lab

Made with 🟠 Blender · Three.js