An gold & iron plant company has 4 machines available for assignment to 4 tasks in one of its production lines. Any machine can be assigned to any task, and each task requires processing by one machine. The time required to set up each machine for the processing of each task is given in the table below. TIME (Hours) Task 1 Task 2 Task 3 Task 4 Machine 1 Machine 2 Machine 3 Machine 4 120 50 50 70 50 10 100 80 50 70 10 40 10 20 60 90 1) Formulate an assignment problem that could be used to determine how to minimize the total setup time needed for the processing of all four tasks. The formulation should be in algebraic closed form. 2) Use LINGO/OPL/EXCEL to solve your model. Write down the results of the decision variables and the objective function. 3) Use the Hungarian method to solve the problem. Find the optimal assignment and the total setup time required.
An gold & iron plant company has 4 machines available for assignment to 4 tasks in one of its production lines. Any machine can be assigned to any task, and each task requires processing by one machine. The time required to set up each machine for the processing of each task is given in the table below. TIME (Hours) Task 1 Task 2 Task 3 Task 4 Machine 1 Machine 2 Machine 3 Machine 4 120 50 50 70 50 10 100 80 50 70 10 40 10 20 60 90 1) Formulate an assignment problem that could be used to determine how to minimize the total setup time needed for the processing of all four tasks. The formulation should be in algebraic closed form. 2) Use LINGO/OPL/EXCEL to solve your model. Write down the results of the decision variables and the objective function. 3) Use the Hungarian method to solve the problem. Find the optimal assignment and the total setup time required.
Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter2: Measurement, Materials, And Safety
Section2.5: Quality Assurance, Process Planning, And Quality Control
Problem 10RQ: If an X-bar chart graph falls below the LCL or rises above the UCL, a machining process is said to...
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