Typical Optimization Problems

This collection provides an overview of common optimization problems that appear across various industries and applications.

Transportation Problems

Optimize the distribution of goods from multiple sources to multiple destinations while minimizing transportation costs.

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Assignment Problems

Assign resources to tasks in a way that optimizes overall performance or minimizes total cost.

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Scheduling Problems

Determine the optimal timing and sequence of tasks or activities subject to resource constraints.

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Traveling Salesman Problem (TSP)

Find the shortest possible route that visits each location exactly once and returns to the origin.

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Knapsack Problem

Select items with maximum value while respecting capacity constraints.

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Facility Location Problems

Determine the optimal locations for facilities to minimize costs or maximize service coverage.

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Problem Structure

Each problem in this collection includes:

  • Problem overview and real-world applications
  • Mathematical formulation
  • Implementation using JijModeling
  • Solution analysis and visualization
  • Variations and extensions