# Questions tagged [branch-and-price]

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### Tools to implement branch-and-price algorithms

As far as I know, implementing a branch-and-price algorithm is a task far from trivial. However, there are tools such as SCIP or the BCP framework of COIN-OR that help implement such algorithms. I ...
204 views

### Branch and Price algorithm is exact?

I know that the Column Generation algorithm delivers an exact solution when you are solving a linear programming optimization problem. I want to know that, does this column generation approach deliver ...
975 views

### How to implement branch and price?

I heard once that the branch and price (B&P) algorithm is among the hardest ones in OR, but if it's implemented well, it could be very efficient. Aare there other algorithms that are also that ...
404 views

### Branch and Price Algorithm

Can branch and price be a good solution approach for a routing problem with min-max objective function? For example, minimizing the max length of any vehicle route in a VRP. In the literature, I haven'...
115 views

### When using column generation, can I delete a node with negative reduced cost from my subproblem?

I am solving a minimization problem with a column generation procedure. The master problem is of the form $$\min \sum_{i\in \Omega}c_i \lambda_i$$ subject to  \sum_{i\in \Omega \mid v \in i } \...
55 views

### Branch and price with two sets of exponential variables

There are classes of problems which allow for "natural" extended formulations using multiple exponential-size sets of variables. For example, 2-echelon routing problems can be modelled ...
156 views

### Dual of a model to obtain reduced costs

I have the following model which I am going to solve with column generation. Basically it is a VRP problem with pick-up and delivery in which couriers are assigned to a set of shifts based on their ...
125 views

### A Question on A tutorial on column generation and branch-and-price for vehicle routing problems by Dominique Feillet

I am reading A tutorial on column generation and branch-and-price for vehicle routing problems by Dominique Feillet to learn the column generation approach, but I have a problem. in section 3.3 ...