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1. Binary Variables & Logical Conditions
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F3f62826a-9e19-404d-b304-0c6c4b487cbe%2FUntitled.png%3Ftable%3Dblock%26id%3D20df15f2-6f03-461e-a3d3-34e7e0895186%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725796800000%26signature%3D1jgUqGibqWueeTgl2WvNSIXE-eEjCpjHO3gPVhDNFFQ?table=block&id=20df15f2-6f03-461e-a3d3-34e7e0895186&cache=v2)
2. Big M — Fix cost problem
We use big m when there is a need to consider a fixed cost. Let’s say product A needs a production set-up cost. So, when we produce A, we not only need the unit cost, but also the set-up cost. In another word, the total cost of product A = unit cost + set-up cost.
The Big M is a constraint where . =1 , when we produce A; it is like a trigger.
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F00410aa0-60b5-4aa5-9667-1e065c44cec6%2FUntitled.png%3Ftable%3Dblock%26id%3Df0402892-c5bc-4369-b376-864c264cd0ff%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725796800000%26signature%3DmE_uhcU3zDSMdJgQ1GUMfdELU9CVrJKIqy1LeryWBYE?table=block&id=f0402892-c5bc-4369-b376-864c264cd0ff&cache=v2)
To determine the value of M — an upper bound on x — we can make use of our constraints from the constraints by getting potential upper bounds on our x value, then we select the one that we can use.
- Author:Jason Siu
- URL:https://jason-siu.com/article%2Fa1fe2aac-c737-487e-a110-409cc4addb32
- Copyright:All articles in this blog, except for special statements, adopt BY-NC-SA agreement. Please indicate the source!
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