# Questions tagged [nonlinear-programming]

For questions about mathematical optimization problems involving a nonlinear objective function and/or nonlinear constraints.

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### Solver for nonlinear semidefinite optimization

Totally new to optimization. Is there an easy-to-use solver, package, (free) software for solving nonlinear semidefinite optimization problems?
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### is prime? in Operations Research

Is there a way to linearize is prime? in Operations Research? is prime(n) being true if $n$ is a prime number or false otherwise....
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### How to handle a non-separable bilinear objective function in the special case of decoupled constraints?

I have a large number of (10000+) non-negative, real decision variables $x_i$ and $y_j$. Let $I$ and $J$ be the index sets associated with $x$ and $y$, respectively. Let $\bar{I}$ and $\bar{J}$ be non-...
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### How to handle a bilinear objective function in the special case of decoupled constraints?

I have decision variables $x_i$ and $y_j$, real positive variables. I would like to minimize objective function \begin{aligned} \min \quad & \sum_{ij} x_iy_j \\ \end{aligned} All constraints are ...
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### In DOcplex, how can I get value of variable for objective function before solved?

In terms of python based atypical math model as shown below, which is unlike nonlinear or quadratic form in my opinion, I have difficulty in accessing value of variable before optimization as ...
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### How can I linearize this nonlinear variable relationship?

Assume a mathematical optimization problem with two positive continuous variables: 0 <= x <= 1 0 <= y <= 1000 I am seeking an efficient way to express ...
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### Linearizing $x^2/(1-x)$ by partitioning the interval $0<x\le X$

We have two decision variables \begin{align} & 0<x\le X,\\ & 0<y\le Y, \end{align} where both $X$ and $Y$ are two sensible upper bounds on our decision variables. We also have a ... 69 views

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### Can we simplify (perhaps linearize) this constraint?

We are dealing with a stochastic model and one of the constraints is \begin{align} y_j=\frac{\sum_{i \in I}\sum_{k \in K}\mathbb{E}\left[X_{ik}^2\right]x^k_{ij}}{\sum_{i \in I} \sum_{k \in K} \mathbb{... 88 views

### Controlling IPOPT options with pyomo doesn't work

I am using IPOPT solver for solving KKTs conditions (a bunch of equality constraints and complementarity conditions). For assigning the solver for complementarity problem, I use the command line below:...
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### Linearize a highly non-linear objective function

[EDIT] : The formula below is updated to remove the radical, 0.5 in the term $(I_{i,v} \cdot \Delta t)$ and constant temperature $T$ replces temperature as function of current. [EDIT] :The values of ...
572 views

### No value for uninitialized NumericValue object

I'm working on an optimization model in python with the pyomo library. However I'm getting an error message in python that I cannot seem to understand. The code and error message is below. My code is <...
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### Python library to solve nonlinear problems

What is the best python library to solve nonlinear problems? PuLP can solve only linear problems like $\max15000Z_7 + 350D_{73}Z_7 - 15000Z_8 + 350D_{86}Z_8$.
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### Is there any open source quadratic programming solver with C# API

I have a quadratic programming model (i.e., quadratic objective function and linear constraint) and, I want to solve it on an open-source solver. Since our project developed on C#, we also would like ...