3 Questions
What is the difference between the Assignment Problem and the Transportation Problem?
The Assignment Problem involves assigning a set of tasks to a set of resources with the objective of minimizing the total cost, while the Transportation Problem involves finding the optimal transportation plan to minimize the total transportation cost.
For three jobs A, B, and C to be assigned to three machines U, V, and W, with given processing costs, what allocation minimizes the overall processing cost?
The allocation that minimizes the overall processing cost can be determined by finding the minimum cost assignment in the given matrix of processing costs.
What is the mathematical form of the Assignment problem?
The mathematical form of the Assignment problem involves finding the minimum cost assignment in a cost matrix.
Study Notes
Assignment Problem vs Transportation Problem
- The Assignment Problem and the Transportation Problem are two related but distinct problems in Operations Research and Management Science.
Assignment Problem
- The Assignment Problem involves finding the optimal allocation of a set of jobs to a set of machines, where each job can be assigned to one machine, and each machine can process one job.
- The goal is to minimize the overall processing cost.
- Example: assigning three jobs A, B, and C to three machines U, V, and W to minimize the total processing cost.
Mathematical Form of the Assignment Problem
- The Assignment Problem can be formulated mathematically as a linear programming problem, with binary variables indicating whether a job is assigned to a machine or not.
Test your knowledge about the assignment problem, its mathematical form, and the differences between the Assignment Problem and the Transportation Problem. Solve a specific allocation problem with processing costs for job-machine combinations.
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