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These include Next (a modular mass transportation solution); ConsenSys (the Ethereum / blockchain software company that builds developer tools, decentralized applications, and enterprise solutions); Construction Robotics, (literally a robot for automated construction) and Honeywell, the Fortune 100 company, with plans to build a new way of delivering healthcare at home.
Determining the group invariant solutions, construction of new solutions for the system from the known ones, classification of the group invariant solutions, reduction of the order of ordinary differential equations, detection of linearizing transformations, and mapping solutions to other solutions are the other important applications of Lie groups in the theory of differential equations.
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After the solution construction is completed, the ants give feedback on the solutions they have constructed by depositing pheromone on solution components which they have used in their solution.
It defines the way of solution construction, pheromone updating, and possible interactions in the solution process.
The ants solution construction is guided by pheromone trails and problem dependent heuristic information.
A linear independent relationship is presented to guide a feasible solution construction process.
The main characteristic of the ACO algorithm is to perturb a saving-based greedy heuristic in its solution construction.
Akpinar (2016) developed a large neighborhood search algorithm which is hybridized with the ant colony optimization algorithm as the solution construction mechanism.
The analytical solution construction concept has taken from the scalar task of solar radiation transfer in the atmosphere where an approximate analytical solution was developed.
Based on these observations, an iterative hybrid approach is developed to adaptively hybridise these two graph colouring heuristics at different stages of solution construction.
The proposed heuristic is composed of two phases: a solution construction phase including a local optimization component and a deletion and re-insertion improvement phase.
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