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FabianaCampanari merged 1 commit into from
Apr 23, 2025
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Update README.md #501

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52 changes: 49 additions & 3 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -1006,7 +1006,7 @@ constraints.

### [Example: Unbalanced Transportation Problem]():

### ➠ Initial Unbalanced Model:
### ➠ [Initial Unbalanced Model]():

<br>

Expand Down Expand Up @@ -1047,8 +1047,7 @@ O3 & 6 & 12 & 10 & 10 \\

#

### ➠ Adjusted Balanced Model (Dummy Origin A Added):

### ➠ [Adjusted Balanced Model (Dummy Origin A Added)]():

<br>

Expand Down Expand Up @@ -1087,6 +1086,53 @@ A & 0 & 0 & 0 & 6 \\

### ➢ Now the model is **balanced**: [66 = 66]()

<br>

#

### ➠ [Feasible Solution Example]():

<br>

$$
\
\begin{array}{c|ccc|c}
& D1 & D2 & D3 & \text{Supply} \\
\hline
O1 & 0 & 20 & 0 & 20 \\
O2 & 5 & 25 & 0 & 30 \\
O3 & 0 & 10 & 0 & 10 \\
A & 20 & 1 & 5 & 6 \\
\hline
\text{Demand} & 25 & 36 & 5 & 66 \\
\end{array}
\
$$

<br>

```latex
\[
\begin{array}{c|ccc|c}
& D1 & D2 & D3 & \text{Supply} \\
\hline
O1 & 0 & 20 & 0 & 20 \\
O2 & 5 & 25 & 0 & 30 \\
O3 & 0 & 10 & 0 & 10 \\
A & 20 & 1 & 5 & 6 \\
\hline
\text{Demand} & 25 & 36 & 5 & 66 \\
\end{array}
\]
```

🟡 The values in the matrix represent the **quantities transported**.
🟠 $begin:math:text$ X_{A2} = 1 $end:math:text$, $begin:math:text$ X_{A3} = 5 $end:math:text$: These are **unsatisfied demands**.

<br>

#




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