Place demand. Find the optimal site.

Drop your demand points on the map. Starting from the weighted center of gravity, the tool refines to the true cost-minimising location - the demand-weighted geometric median - in your browser, instantly, no server round-trip.

Labels

✋Click the map to add a demand point

Points

0 points

Number of warehousesSites to locate

Result

Center-of-gravity · live map

Add demand points and press Solve to compute the optimal location.

About this tool

Center of Gravity

The concept

The demand-weighted centroid is the classic first answer to "where should the warehouse go".

How it works

The weighted centroid (COG) minimises squared distance - a quick estimate, but not the cheapest site. We then run Weiszfeld’s algorithm to reach the true minimum-total-weighted-distance point (the 1-median / Weber point). For one facility this is the provable global optimum.

Winning strategy

The geometric median sits nearer high-demand clusters than the plain centroid. Use it as the anchor, then adjust for roads, land and labour.

minimise Σ w_i · dist(x, i) (COG start: x̄ = Σ w_i x_i / Σ w_i)

Weiszfeld’s algorithmGeometric medianWeber problemCentre of gravityFacility location

Core idea: Center-of-gravity method