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The formal definition of the bottleneck assignment problem is Given two sets, A and T, together with a weight function C : A × T → R.Find a bijection f : A → T such that the cost function:
The linear-nonlinear-Poisson (LNP) cascade model is a simplified functional model of neural spike responses. [ 1 ] [ 2 ] [ 3 ] It has been successfully used to describe the response characteristics of neurons in early sensory pathways, especially the visual system.
The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [3]: ND22, ND23
The benefits of targeted delivery of protein products or gene editing machinery to the liver are shown in genetic diseases affecting the liver or in which the altered gene product is produced in the liver, [4] [8] [12] such as tyrosinemia, [13] and transthyretin amyloidosis, [14] respectively, and the addition of a SORT molecule has been shown ...
The SciPy scientific library, for instance, uses HiGHS as its LP solver [13] from release 1.6.0 [14] and the HiGHS MIP solver for discrete optimization from release 1.9.0. [15] As well as offering an interface to HiGHS, the JuMP modelling language for Julia [ 16 ] also describes the specific use of HiGHS in its user documentation. [ 17 ]
The idea is to reduce this problem to a network flow problem. Let G′ = (V′ = A ∪ B, E′ = E). Assign the capacity of all the edges in E′ to 1. Add a source vertex s and connect it to all the vertices in A′ and add a sink vertex t and connect all vertices inside group B′ to this vertex. The capacity of all the new edges is 1 and ...
Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another. The outer optimization task is commonly referred to as the upper-level optimization task, and the inner optimization task is commonly referred to as the lower-level optimization task.
Single-machine scheduling or single-resource scheduling or Dhinchak Pooja is an optimization problem in computer science and operations research.We are given n jobs J 1, J 2, ..., J n of varying processing times, which need to be scheduled on a single machine, in a way that optimizes a certain objective, such as the throughput.