#1 Excel tutorial on the net

- Assignment Problem

Formulate the Model | Trial and Error | Solve the Model

Use the solver in Excel to find the assignment of persons to tasks that minimizes the total cost.

## Formulate the Model

The model we are going to solve looks as follows in Excel.

1. To formulate this assignment problem , answer the following three questions.

2. To make the model easier to understand, create the following named ranges .

3. Insert the following functions.

## Trial and Error

With this formulation, it becomes easy to analyze any trial solution.

## Solve the Model

To find the optimal solution, execute the following steps.

1. On the Data tab, in the Analyze group, click Solver.

Note: can't find the Solver button? Click here to load the Solver add-in .

Enter the solver parameters (read on). The result should be consistent with the picture below.

You have the choice of typing the range names or clicking on the cells in the spreadsheet.

2. Enter TotalCost for the Objective.

4. Enter Assignment for the Changing Variable Cells.

5. Click Add to enter the following constraint.

Note: binary variables are either 0 or 1.

6. Click Add to enter the following constraint.

7. Click Add to enter the following constraint.

8. Check 'Make Unconstrained Variables Non-Negative' and select 'Simplex LP'.

## Learn more, it's easy

- Transportation Problem
- Shortest Path Problem
- Maximum Flow Problem
- Capital Investment
- Sensitivity Analysis
- System of Linear Equations

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## Balanced Assignment Problem Using Excel Solver

## Assignment problem

## How to Solve Balanced Assignment Problem Using Excel Solver Add-In?

For finding the Optimal solution use the function =SUMPRODUCT() .

- After you’re done entering the values, go to the Data tab and under Analyze group select the Solver tool .
- Set the objective in the correct cell. Select Min in the To field.
- Changing variables are the tasks to the respective customer whose values aren’t determined still.
- The Constraints are Assigned = Supply , Assigned = Demand, and the range of the changing variables are binary .
- Finally select the solving method as Simplex LP and click on Solve .

Click on OK to get the solution.

A optimal solution is obtained.

## Related Posts

## SKEW Function in Excel

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## RANK Function in Excel

## Solving an Assignment Problem

The costs of assigning workers to tasks are shown in the following table.

## MIP solution

The following sections describe how to solve the problem using the MPSolver wrapper .

## Import the libraries

The following code imports the required libraries.

## Create the data

The following code creates the data for the problem.

The costs array corresponds to the table of costs for assigning workers to tasks, shown above.

## Declare the MIP solver

The following code declares the MIP solver.

## Create the variables

The following code creates binary integer variables for the problem.

## Create the constraints

Create the objective function.

The following code creates the objective function for the problem.

## Invoke the solver

The following code invokes the solver.

## Print the solution

The following code prints the solution to the problem.

Here is the output of the program.

## Complete programs

Here are the complete programs for the MIP solution.

## CP SAT solution

The following sections describe how to solve the problem using the CP-SAT solver.

## Declare the model

The following code declares the CP-SAT model.

The following code sets up the data for the problem.

The following code creates the constraints for the problem.

Here are the complete programs for the CP-SAT solution.

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## Transportation and Assignment Problems

Published by Angela Porter Modified over 7 years ago

## Presentation on theme: "Transportation and Assignment Problems"— Presentation transcript:

Lecture 3 Linear Programming: Tutorial Simplex Method

Transportation Problem (TP) and Assignment Problem (AP)

Transportation and Assignment Models

Quantitative Techniques for Decision Making M.P. Gupta & R.B. Khanna © Prentice Hall India.

SOLVING LINEAR PROGRAMS USING EXCEL Dr. Ron Lembke.

Operations Management Linear Programming Module B - Part 2

Linear Programming Using the Excel Solver

The Transportation and Assignment Problems

1 Chapter 7 Linear Programming Models Continued – file 7c.

Linear Programming Applications

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