Calculate the optimal facility locations for customers based on various constraints and criteria. Optimize costs and distances.

Facility Location Optimization - Facility to Customer

Purpose

The Facility Location Optimization - Facility to Customer function helps in determining the optimal location for facilities to minimize costs and meet customer demands efficiently.

Use Cases

• Finding the best locations for facilities based on customer demand and distance constraints.
• Optimizing facility locations to reduce overall costs while meeting demand requirements.

How to Use

1. Enter the required input values in the form fields.
2. Click on the "Calculate" button to run the optimization process.
3. View the output results to see the optimal facility locations and total cost.

Input Values

1. Cost Data - Data containing information on location, demand, and transportation costs.
2. Facility Data - Data specifying the capacity and fixed costs for each facility.
3. Minimum Number of Facilities - The minimum number of facilities to be considered.
4. Maximum Number of Facilities - The maximum number of facilities to be considered.
5. Maximum Average Customer Distance - The maximum average distance a customer can be from a facility.
6. Maximum Average Demand Distance - The maximum average distance between demand points and facilities.
7. Minimum Percentage of Demand - The minimum percentage of total demand that must be met.
8. Demand Within Distance - The maximum distance within which demand must be met.

Output Values

1. Status - The status of the optimization process.
2. Total Cost - The total cost associated with the optimal facility locations.
3. Optimal Facility Locations - The locations of the facilities that minimize costs and meet demand requirements.

Any other Instruction

• Ensure to provide accurate input values to get meaningful output results.
• Review the output carefully to understand the optimal facility locations and associated costs.

Steps of Calculation

1. Define the problem and decision variables.
2. Set up the objective function to minimize costs.
3. Apply constraints based on input values such as facility capacity and demand requirements.
4. Solve the problem to find the optimal facility locations and total cost.

Technical Parameters

• cost, facility, min_number_of_facilities, max_number_of_facilities, max_average_customer_distance, max_average_demand_distance, min_percent_demand, demand_within_distance

Return Values

• Status, Total Cost, Optimal Facility Locations

Example Expressions

You can use the following expressions to directly evaluate in a non-interactive manner using eva():

facility_opt(cost_data, facility_data, 1, 5, 50, 60, 80, 50)
facility_opt(cost_data, facility_data, 2, 4, 40, 70, 90, 60)

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