An example of a 0,1 integer model is deciding what all to put into my vehicle(rather than with the moving company) when I move next year. This would be a matter of knowing the weight capacity of my vehicle and the items I want to put in the vehicle. For this example, I’ll assume my vehicle can hold 500 pounds and the items I want to carry are 100, 50, 50, 50, 50, 100, 75, 15, 60, 30. This would be too much to carry which leads to this model having a 0,1 integer solution to decide what the optimal solution would be within the 500 pound limit. There is an optimal solution for this situation in which 1X1+1X2+0X3+1X4+1X5+1X6+1X7+1X8+1X9+0X10=500. Do you agree with my post. Please explain.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter23: Simulation With The Excel Add-in @risk
Section23.4: Reliability And Warranty Modeling
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An example of a 0,1 integer model is deciding what all to put into my vehicle(rather than with the moving company) when I move next year. This would be a matter of knowing the weight capacity of my vehicle and the items I want to put in the vehicle.

For this example, I’ll assume my vehicle can hold 500 pounds and the items I want to carry are 100, 50, 50, 50, 50, 100, 75, 15, 60, 30. This would be too much to carry which leads to this model having a 0,1 integer solution to decide what the optimal solution would be within the 500 pound limit.

There is an optimal solution for this situation in which 1X1+1X2+0X3+1X4+1X5+1X6+1X7+1X8+1X9+0X10=500.

Do you agree with my post. Please explain.

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