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Unbalanced Assignment Problems (Math/QA/Operation Research

EZIKAN ACADEMY

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Unbalanced Assignment Problems (Math/QA/Operation Research

7 364 просмотра · 2 года назад
EZIKAN ACADEMY
63,1 тыс. подписчиков
7 364 просмотра · 2 года назад
Master the Unbalanced Assignment Problem with this comprehensive tutorial on the Hungarian Method specifically for Maximization objectives. Whether you are studying Operations Research, Quantitative Analysis (QA), or Business Mathematics, this step-by-step guide is tailored for students preparing for ICAN, ATSWA, ICAG, and university exams. In this session, we break down how to handle assignment models when the number of rows does not equal the number of columns by introducing dummy activities and converting a maximization problem into a minimization format. Key Timestamps: 0:00 – Welcome & Introduction to Assignment Models (Part 2) 0:43 – Steps for Solving Maximization Objective Problems 1:04 – Step 1: Ensuring a Balanced Assignment Problem (Square Matrix) 1:57 – Step 2: Matrix Reduction (Subtracting from Highest Element) 3:07 – Step 3: Covering Zeros with Minimum Lines 4:18 – Step 4: Iteration (When Optimal Solution is Not Achieved) 7:08 – Example: 4 Airplanes Assigned to 3 Cargo Consignments 8:45 – Introducing a Dummy Activity (Row vs. Column) 11:00 – Profit Matrix Reduction for Maximization 12:25 – Testing for Optimality (Line Crossing Method) 13:10 – Highest Uncovered Element & Point of Intersection Rules 18:50 – Making Final Optimal Assignments 23:00 – Calculating Maximum Total Profit in Rupees Connect with EZIKAN ACADEMY If this video helped you, please: ✅ SUBSCRIBE for more simplified accounting and QA lectures. 👍 LIKE the video to help reach more students. 📢 SHARE with your colleagues and study groups. #UnbalancedAssignmentProblem #HungarianMethod #OperationsResearch #Maximization #QuantitativeAnalysis #ICAN #ATSWA #AccountingStudents #ManagementAccounting #MathTutorials #EZIKANAcademy #AssignmentModel