Highway Network Optimization

	Highway Network Optimization Highway network optimization is the problem of configuring highway networks to maximize economic and social utility. Numerous mathematical optimization techniques have been brought to bear on the problem, including linear programming and deep learning. Recent research has included work on treating the highway optimization problem as a dynamic system. References See also * Traffic engineering * Transit route network design problem * Liner shipping network design and scheduling problem The liner shipping network design and scheduling problem (LSNDSP) is a mathematical optimization problem in operations research that models maritime transport logistic problems. It is of practical interest in the shipping industry, as improvements ... Mathematical optimization Operations research Mathematical optimization in business Road transport {{compsci-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Mathematical Optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maxima and minima, maximizing or minimizing a Function of a real variable, real function by systematically choosing Argument of a function, input values from within an allowed set and computing the Value (mathematics), value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. Optimization problems Opti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Linear Programming Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear function#As a polynomial function, linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique for the mathematical optimization, optimization of a linear objective function, subject to linear equality and linear inequality Constraint (mathematics), constraints. Its feasible region is a convex polytope, which is a set defined as the intersection (mathematics), intersection of finitely many Half-space (geometry), half spaces, each of which is defined by a linear inequality. Its objective function is a real number, real-valued affine function, affine (linear) function defined on this polytope. A linear programming algorithm finds a point in the po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Deep Learning Deep learning is a subset of machine learning that focuses on utilizing multilayered neural networks to perform tasks such as classification, regression, and representation learning. The field takes inspiration from biological neuroscience and is centered around stacking artificial neurons into layers and "training" them to process data. The adjective "deep" refers to the use of multiple layers (ranging from three to several hundred or thousands) in the network. Methods used can be either supervised, semi-supervised or unsupervised. Some common deep learning network architectures include fully connected networks, deep belief networks, recurrent neural networks, convolutional neural networks, generative adversarial networks, transformers, and neural radiance fields. These architectures have been applied to fields including computer vision, speech recognition, natural language processing, machine translation, bioinformatics, drug design, medical image analysis, c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Traffic Engineering (transportation) Traffic engineering is a branch of civil engineering that uses engineering techniques to achieve the safe and efficient movement of people and goods on roadways. It focuses mainly on research for safe and efficient traffic flow, such as road geometry, sidewalks and crosswalks, cycling infrastructure, traffic signs, road surface markings and traffic lights. Traffic engineering deals with the functional part of transportation system, except the infrastructures provided. Traffic engineering is closely associated with other disciplines: Transport engineering Pavement engineering Bicycle transportation engineering Highway engineering Transportation planning Urban planning Human factors engineering Typical traffic engineering projects involve designing traffic control device installations and modifications, including traffic signals, signs, and pavement markings. However, traffic engineers also consider traffic safety by investigating locations with high crash rates and dev ... [...More Info...] [...Related Items...] OR:* [Wikipedia] [Google] [Baidu]
	Transit Route Network Design Problem The transit route network design problem is a mathematical optimization problem in the context of Transportation network (graph theory), transportation networks with well-defined stops, routes and timetables such as bus and railway networks. The problem can be broken down into five subproblems: transportation network design, frequency setting, timetable development, vehicle scheduling, and crew scheduling. See also * Liner shipping network design and scheduling problem * Highway network optimization References Mathematical optimization Operations research Mathematical optimization in business Road transport Rail transport {{bus-transport-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Liner Shipping Network Design And Scheduling Problem The liner shipping network design and scheduling problem (LSNDSP) is a mathematical optimization problem in operations research that models maritime transport logistic problems. It is of practical interest in the shipping industry, as improvements in mathematical technoques can be directly applied to real-world problems. The problem consists of the simultaneous resolution of three sub-problems: fleet design, ship scheduling and cargo routing, while minimizing overall cost. An industry-standard benchmark dataset, LINERLIB, is used to measure the effectiveness of mathematical approaches to the LSNDSP. In 2024, resarchers from Google's Operations Research group announced that they had produced a new optimization technique which outperformed all previous solutions to the problem, and offered substantial increases in both profit and throughput for shipping companies. References See also * Transshipment * Transit route network design problem The transit route network design p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Mathematical Optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maxima and minima, maximizing or minimizing a Function of a real variable, real function by systematically choosing Argument of a function, input values from within an allowed set and computing the Value (mathematics), value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. Optimization problems Opti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Operations Research Operations research () (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a branch of applied mathematics that deals with the development and application of analytical methods to improve management and decision-making. Although the term management science is sometimes used similarly, the two fields differ in their scope and emphasis. Employing techniques from other mathematical sciences, such as mathematical model, modeling, statistics, and mathematical optimization, optimization, operations research arrives at optimal or near-optimal solutions to decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably industrial engineering. Operations research is often concerned with determining the extreme values of some real-world objective: the Maxima and minima, maximum (of profit, performance, or yield) or minimum (of loss, risk, or cost). Originating in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Mathematical Optimization In Business Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]