# Questions tagged [optimization]

For questions involving mathematical problems that aim to minimize or maximize some objective function, possibly subject to one or more constraints.

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### Enforcing Order in a Linear Programming Question

I have an optimization model to fulfill the water requirements of a city's distribution network. The model includes water sources from rainfall collection, river extraction, reservoir storage, and ...
• 31
1 vote
150 views

### My Professor couldn't complete the model for this optimization problem. how do i model this problem?

(Edit: there was a slight translation error, to be clear, we tried this since the start with Binary variables (IP), even then we couldn't crack it) I'm an undergraduate in Industrial Engineering and ...
37 views

### Modeling $-\ln(1 - w \cdot \sigma(x))$ as disciplined convex programming

Given $0 < w \leq 1$, I would like to use the function: $$-\ln(1 - w \sigma(t)),$$ where $\sigma(t) = 1 / (1 + \exp(-t))$ is the sigmoid function, in my objective. It's a bit tedious, but this ...
• 131
46 views

### Need help for the python scheduling code

I'm working on a Python application using PuLP for optimization, and I'm having trouble ensuring that only one material is produced on a given day. The constraint prob += pulp.lpSum(production_flag[m][...
57 views

### Constrained optimization with heuristic algorithm in actual production

In a real production problem, if you decide to use a heuristic algorithm (such as GA), what are the mainstream methods to deal with constraints in constraint optimization? I mean, I knew that there ...
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• 197
1 vote
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### 0-1 Knapsack optimization problem

Can anyone explain how the writer rewrite the objective function in (7) to be written as (8)?