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Pathfinding
Pathfinding or pathing is the plotting, by a computer application, of the shortest route between two points. It is a more practical variant on solving mazes. This field of research is based heavily on Dijkstra's algorithm for finding the shortest path on a weighted graph. Pathfinding is closely related to the shortest path problem, within graph theory, which examines how to identify the path that best meets some criteria (shortest, cheapest, fastest, etc) between two points in a large network. Algorithms At its core, a pathfinding method searches a graph by starting at one vertex and exploring adjacent nodes until the destination node is reached, generally with the intent of finding the cheapest route. Although graph searching methods such as a breadth-first search would find a route if given enough time, other methods, which "explore" the graph, would tend to reach the destination sooner. An analogy would be a person walking across a room; rather than examining every ...
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Pathfinding 2D Illustration
Pathfinding or pathing is the plotting, by a computer application, of the shortest route between two points. It is a more practical variant on solving mazes. This field of research is based heavily on Dijkstra's algorithm for finding the shortest path on a weighted graph. Pathfinding is closely related to the shortest path problem, within graph theory, which examines how to identify the path that best meets some criteria (shortest, cheapest, fastest, etc) between two points in a large network. Algorithms At its core, a pathfinding method searches a graph by starting at one vertex and exploring adjacent nodes until the destination node is reached, generally with the intent of finding the cheapest route. Although graph searching methods such as a breadth-first search would find a route if given enough time, other methods, which "explore" the graph, would tend to reach the destination sooner. An analogy would be a person walking across a room; rather than examining every ...
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A* Search Algorithm
A* (pronounced "A-star") is a graph traversal and path search algorithm, which is used in many fields of computer science due to its completeness, optimality, and optimal efficiency. One major practical drawback is its O(b^d) space complexity, as it stores all generated nodes in memory. Thus, in practical travel-routing systems, it is generally outperformed by algorithms which can pre-process the graph to attain better performance, as well as memory-bounded approaches; however, A* is still the best solution in many cases. Peter Hart, Nils Nilsson and Bertram Raphael of Stanford Research Institute (now SRI International) first published the algorithm in 1968. It can be seen as an extension of Dijkstra's algorithm. A* achieves better performance by using heuristics to guide its search. Compared to Dijkstra's algorithm, the A* algorithm only finds the shortest path from a specified source to a specified goal, and not the shortest-path tree from a specified source to all poss ...
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Navigation Mesh
A navigation mesh, or navmesh, is an abstract data structure used in artificial intelligence applications to aid agents in pathfinding through complicated spaces. This approach has been known since at least the mid-1980s in robotics, where it has been called a meadow map, and was popularized in video game AI in 2000. Description A navigation mesh is a collection of two-dimensional convex polygons (a polygon mesh) that define which areas of an environment are traversable by agents. In other words, a character in a game could freely walk around within these areas unobstructed by trees, lava, or other barriers that are part of the environment. Adjacent polygons are connected to each other in a graph. Pathfinding within one of these polygons can be done trivially in a straight line because the polygon is convex and traversable. Pathfinding between polygons in the mesh can be done with one of the large number of graph search algorithms, such as A*. Agents on a navmesh can thus avoid ...
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Dynamic Programming
Dynamic programming is both a mathematical optimization method and a computer programming method. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics. In both contexts it refers to simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart this way, decisions that span several points in time do often break apart recursively. Likewise, in computer science, if a problem can be solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have '' optimal substructure''. If sub-problems can be nested recursively inside larger problems, so that dynamic programming methods are applicable, then there is a relation between the value of the larger problem and the values of the sub-problems.Cormen, T. H.; Leiserson, C. E.; R ...
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Travelling Salesman Problem
The travelling salesman problem (also called the travelling salesperson problem or TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations research. The travelling purchaser problem and the vehicle routing problem are both generalizations of TSP. In the theory of computational complexity, the decision version of the TSP (where given a length ''L'', the task is to decide whether the graph has a tour of at most ''L'') belongs to the class of NP-complete problems. Thus, it is possible that the worst-case running time for any algorithm for the TSP increases superpolynomially (but no more than exponentially) with the number of cities. The problem was first formulated in 1930 and is one of the most intensively studi ...
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Transportation Planning
Transportation planning is the process of defining future policies, goals, investments, and spatial planning designs to prepare for future needs to move people and goods to destinations. As practiced today, it is a collaborative process that incorporates the input of many stakeholders including various government agencies, the public and private businesses. Transportation planners apply a multi-modal and/or comprehensive approach to analyzing the wide range of alternatives and impacts on the transportation system to influence beneficial outcomes. Transportation planning is also commonly referred to as transport planning internationally, and is involved with the evaluation, assessment, design, and siting of transport facilities (generally streets, highways, bike lanes, and public transport lines). Models and sustainability Transportation planning, or transport planning, has historically followed the rational planning model of defining goals and objectives, identi ...
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Stanford Research Institute Problem Solver
The Stanford Research Institute Problem Solver, known by its acronym STRIPS, is an automated planner developed by Richard Fikes and Nils Nilsson in 1971 at SRI International. The same name was later used to refer to the formal language of the inputs to this planner. This language is the base for most of the languages for expressing automated planning problem instances in use today; such languages are commonly known as action languages. This article only describes the language, not the planner. Definition A STRIPS instance is composed of: * An initial state; * The specification of the goal states – situations which the planner is trying to reach; * A set of actions. For each action, the following are included: ** preconditions (what must be established before the action is performed); ** postconditions (what is established after the action is performed). Mathematically, a STRIPS instance is a quadruple \langle P,O,I,G \rangle, in which each component has the following meaning: ...
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CPU Time
CPU time (or process time) is the amount of time for which a central processing unit (CPU) was used for processing instructions of a computer program or operating system, as opposed to elapsed time, which includes for example, waiting for input/output (I/O) operations or entering low-power (idle) mode. The CPU time is measured in clock ticks or seconds. Often, it is useful to measure CPU time as a percentage of the CPU's capacity, which is called the CPU usage. CPU time and CPU usage have two main uses. The CPU time is used to quantify the overall empirical efficiency of two functionally identical algorithms. For example any sorting algorithm takes an unsorted list and returns a sorted list, and will do so in a deterministic number of steps based for a given input list. However a bubble sort and a merge sort have different running time complexity such that merge sort tends to complete in fewer steps. Without any knowledge of the workings of either algorithm a greater CPU time ...
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Video Game Industry
The video game industry encompasses the development, marketing, and monetization of video games. The industry encompasses dozens of job disciplines and thousands of jobs worldwide. The video game industry has grown from niches to mainstream. , video games generated annually in global sales. In the US, it earned about in 2007, in 2008, and 2010, according to the ESA annual report. Research from Ampere Analysis indicated three points: the sector has consistently grown since at least 2015 and expanded 26% from 2019 to 2021, to a record ; the global games and services market is forecast to shrink 1.2% annually to in 2022; the industry is not recession-proof. The industry has influenced the advance of personal computers with sound cards, graphics cards and 3D graphic accelerators, CPUs, and co-processors like PhysX. Sound cards, for example, were originally developed for games and then improved for the music industry. Industry overview Size In 2017 in the Unite ...
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Tanktics
''Tanktics: Computer Game of Armored Combat on the Eastern Front'', also named ''Wargy I'', is a 1976 two-player tank battle video game by Chris Crawford. It was Crawford's first video game; it was initially sold directly by him, and was published by Avalon Hill in 1981 under the name ''Tanktics''. The game has no graphics; the player moves tokens on a physical map to represent a tank battle, with the computer controlling one of the sides. The game received weak reviews by critics, who found the artificial intelligence to be weak and suited for players who wanted neither a complex nor fast-paced game. Gameplay The game simulates a two-player tank battle on a large hex grid. ''Tanktics'' has no graphics; the player moves tokens on a map using coordinates the computer, acting as referee, provided. Crawford used maps and tokens from Avalon Hill's '' Panzer Leader'' when developing the game. To compensate for the computer's weak artificial intelligence, he gave it twice as many ...
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Chris Crawford (game Designer)
Christopher Crawford (born June 1, 1950) is an American video game designer and writer. Hired by Alan Kay to work at Atari, Inc., he wrote the computer wargame ''Eastern Front (1941)'' for the Atari 8-bit family which was sold through the Atari Program Exchange and later Atari's official product line. After leaving Atari, he wrote a string of games beginning with '' Balance of Power'' for Macintosh. Writing about the process of developing games, he became known among other creators in the nascent home computer game industry for his passionate advocacy of game design as an art form. He self-published '' The Journal of Computer Game Design'' and founded the Computer Game Developers Conference (later renamed to the Game Developers Conference). In 1992 Crawford withdrew from commercial game development and began experimenting with ideas for a next generation interactive storytelling system. In 2018, Crawford announced that he had halted his work on interactive storytelling, conclu ...
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