Belbotika Engineering Inc. - Facility Location Solver

Problem: Belbotika Engineering Inc. must establish a minimum viable distribution network across Canada while minimizing transportation costs and ensuring strategic coverage.

📋 Business Requirements:

Minimum Network Size: At least 2 distribution centers required for operational viability
Maximum Investment: No more than 3 facilities due to budget constraints
Regional Strategy: If Toronto hub is established, Montreal must be included for eastern corridor coverage
Objective: Minimize total annual transportation costs while meeting all constraints

📊 Problem Setup

Site Transportation Costs (Annual CAD $000)

Site 1 - Toronto, ON: thousand

Site 2 - Vancouver, BC: thousand

Site 3 - Montreal, QC: thousand

Site 4 - Calgary, AB: thousand

Site 5 - Ottawa, ON: thousand

Operational Constraints

Minimum sites required:

Maximum sites allowed:

Eastern Corridor Strategy: If Toronto selected → Montreal required

Mathematical Model:
Minimize:
Subject to:
•
•
•
• Xⱼ ∈ {0,1} for all j

💰 Cost Comparison Chart

🎯 Interactive Site Selection

Click to select/deselect sites:

Site 1 - Toronto

Ontario - Central Canada Hub

$425k

Site 2 - Vancouver

British Columbia - West Coast

$480k

Site 3 - Montreal

Quebec - Eastern Canada

$390k

Site 4 - Calgary

Alberta - Prairie Region

$510k

Site 5 - Ottawa

Ontario - Capital Region

$415k

Total Annual Cost: CAD $0,000

📈 Solution Space Visualization

Feasible Solution Domain

Feasible

Infeasible

Optimal

Each point represents a possible combination of facilities
Hover to see details, click to select

🍁 Interactive Facility Location Integer Programming Solver