OBSERVATION CHAMBER / MVP
Optimal Transport Workbench
Move supply and destination points, change their masses, and solve the globally optimal way to carry all mass at minimum total cost.
01 / BUILD THE MASS
Supply points and destination points
03 / COMPARE THE PLANS
Links and transport matrix
Transport matrix
Solve to populate P(i,j)Every link and heatmap cell uses the same accepted transport amount P. Greedy is a source-order baseline, not an optimizer.
Solver diagnostics and accepted plan
Coordinates and masses
Supply S1 selected.
Numerical matrix
No accepted matrix.
Mass is normalized to one inside the LP, then the accepted plan is rescaled to its original unit. javascript-lp-solver 0.4.24 / Unlicense runs in a local Worker.
Supported total mass is 1e-250 through 1e250. Unbalanced, negative, nonfinite, unsupported, over-limit, cancelled, or stale jobs stop without accepting a result.
Observation report
SYSTEM NOTE
The balanced plan minimizes sum_ij c_ij P_ij subject to sum_j P_ij = a_i, sum_i P_ij = b_j, and P_ij >= 0, with c_ij = ||x_i-y_j||_2^p.
OBSERVATION GUIDE
Touchpoints for Observation
Observe weighted supply and destination points become a feasible global allocation, carrying links, and one transport matrix.
- Move points, edit masses, Normalize, Solve, switch between Optimal and the Greedy baseline, then move one destination and solve again.
- The linear program normalizes balanced total mass to one and rescales the accepted plan to the original mass unit.
- Positive micro-mass transport amounts are retained and displayed in scientific notation when needed.
- Greedy follows source order and has no optimality guarantee.
This is balanced discrete optimal transport with at most 24 total points. It does not solve continuous or unbalanced transport and is not a logistics, dispatch, engineering-design, or operational planning system. Unsupported tiny, huge, nonfinite, negative, or unbalanced inputs stop without a plan. The local solver is javascript-lp-solver 0.4.24 under the Unlicense.
Runs inside the browser with no upload and no registration.
OBSERVATION POLICY
This lab runs in your browser. No image, pointer trace, or input is uploaded by this prototype.
Route
This chamber belongs to Structures & Symmetries.
STRUCTURE Back to Structures & Symmetries Route.