diff --git a/README.md b/README.md index 8b6ce83..50b5e4e 100644 --- a/README.md +++ b/README.md @@ -1247,7 +1247,7 @@ This is a method to generate an initial feasible solution without considering tr
-### 🔹 Steps: +### ➢ Steps: 1. **Start in the top-left (northwest) corner** of the transportation table. - This is always cell $begin:math:text$ x_{11} $end:math:text$. @@ -1264,13 +1264,13 @@ This is a method to generate an initial feasible solution without considering tr
-## 💸 Least Cost Method (Método do Custo Mínimo) +## 💸 [Least Cost Method (Método do Custo Mínimo](): This method takes into account the transportation costs to guide the initial allocation.
-### 🔹 Steps: +### ➢ [Steps](): 1. **Identify the cell with the lowest unit cost** in the cost matrix among the remaining unallocated cells. 2. **Allocate as much as possible** to this cell, without exceeding supply or demand constraints. @@ -1278,11 +1278,15 @@ This method takes into account the transportation costs to guide the initial all 4. **Remove** (cross out) the row or column where supply or demand becomes zero. If both are zero simultaneously, cross out only one to maintain feasibility. 5. **Repeat** the steps until all supplies and demands are met. + +
+ + ⚠️ Unlike the Northwest Corner, this method **considers the costs** and usually leads to a **better initial solution**, closer to the optimal.
-### 🔍 Link to Risk Analysis +### 🔍 [Link to Risk Analysis](): - Unbalanced models simulate **shortage/surplus risks**. - Dummy rows/columns help visualize **operational failures**. @@ -1290,12 +1294,14 @@ This method takes into account the transportation costs to guide the initial all - Where **stockouts** will occur - How to **redistribute resources** - Costs of **unserved demands** + +
This makes the model highly applicable to **supply chain risk management, disaster response logistics, and critical infrastructure planning**.
-### 📐 Initial Basic Feasible Solution +### 📐 [Initial Basic Feasible Solution](): A basic feasible solution must: 1. Satisfy **all row (supply)** and **column (demand)** constraints. @@ -1306,18 +1312,22 @@ These principles ensure a **non-degenerate** starting point for iterative improv
-## 🧩 Summary +### 🧩 [Summary](): The transportation problem provides a clear, visual way to: - Model **linear resource flows**, - Simulate **imbalances and failure points**, - Optimize with **tailored algorithms**, and - Integrate with **Simplex** and **risk frameworks** for smarter planning. +
+ It's a cornerstone of **Operational Research**, **Logistics**, and **Decision Science**. +

+ @@ -1370,22 +1380,6 @@ $x_1 \geq 0, \quad x_2 \geq 0\$ --> -
- - - - - - - - - - - - - -





- ## [Contribute]()