Questions tagged [facility-location]
For questions related to optimization problems for choosing the optimal locations of facilities such as warehouses, factories, fire stations, etc.
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Move circles from initial positions such that they do not overlap and total shift is minimized
I have a set of circles of varying radii residing in 2D space. Some of these circles overlap. I would like to rearrange the circles such that a) they do not overlap; and b) the total distance that the ...
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1
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Warehouse placement problem in
I’m curious about the warehouse placement problem. Suppose N nodes exist, each with average demand across all products (or a single product for simplicity.) the problem is to position M warehouses ...
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Single Facility Problem
Hi,
Can someone explain to me how this works or refer to any page that tells how the single facility problem works step by step?
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Guidance on selecting locals for waste treatment installation
I am seeking guidance for a study in which I have the coordinates of 3 wastewater treatment plants (WTPs) shown in blue, and 54 farms shown in red (see the figure below). My goal is to calculate ...
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2
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3
answers
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Modeling: How to force customers visit their NEAREST facility
Let set $I$ denote the facility location set, $N$ denote the customer set,
and $d_{ni}, \forall n\in N, i \in I $ is the distance between customer $n$ and facility $i$.
The problem is to locate ...
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3
votes
2
answers
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Writing a constraint of an integer programming in a linear form
I modeled an optimization problem in an integer programming format. The main constraint I came up with is now nonconvex. I would like to see if there is another equivalent formulation in which the ...
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3
votes
2
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Modelling a Capacitated Facility Location Problem in such a way that a few candidate locations are always selected
I am trying to model a MIP for a Capacitated Facility Location problem in a way that a number of selected candidate locations will always be there. How can I model it?
My approach:
Add a cost ...
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vote
1
answer
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How to model this problem?
I have recently tasked with a problem in which I have to locate electric vehicle charging points (new) keeping in mind that there continue to exist older charging points. The problem is to model the ...
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votes
2
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The significance of infeasibility for a Capacitated Facility Location Problem
I am modelling a capacitated facility location problem in R with the ompr package.
When I am removing the Capacity constraint, ...
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3
votes
2
answers
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Designing a multi-commodity network flow optimizer
I'm trying to solve multi commodity multi source network flow optimization problem using Python-PuLP. Here is how my problem looks like:
The numbers on the arcs represent the order of priority a ...
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3
votes
0
answers
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What is the general name (e.g. facility location problem) for this problem (if any)?
I would like to know if there is a general name for the following problem:
We will open several facilities. Each facility has an associated facility type. There exists a given number of facility ...
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2
votes
1
answer
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Capacitated Facility Location problem with a dynamic set up cost
I am trying to solve a Capacitated Facility Location Problem (CFLP) with a dynamic setup cost in R.
The problem statement is this:
I have the transport cost
The ...
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2
votes
0
answers
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Two-stage stochastic with non-linear recourse
I am working on a two-stage facility location problem as I described in this question.
I am solving it with the L-shaped method (Benders decomposition). The cost value between each $(i,j)$ is a ...
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What is dynamic facility location problem ans how to formulate the same? Please help [closed]
Please explain how the problem solution looks like. basically I want model to dynamically give me multiple facility locations for a given demand.
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1
answer
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How to enforce a relation between two variables
I am having trouble formulating the following constraint:
I am looking to formulate a constraint that if a facility was opened at some point in time, then $Y[j,t]$ does always have to be $1$ from that ...
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