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The purpose of this research is to study and create a stochastic mathematical model based on a renewable energy source (wind). The question of finding optimal values for the variables of the mathematical model subject to stochastic conditions is one of the random mathematical problems, which require special stochastic methods to solve in the general case.
This paper presents a method for finding online adaptive optimal controllers for continuous-time linear systems without knowing the system dynamical matrices. The proposed method employs one of Intelligent Operations Research Techniques, this tech nique is the adaptive dynamic programming, to iteratively solve the algebraic Riccati equation using the online information of state and input, without requiring the a priori knowledge of the system dynamics. In addition, all iterations can be conducted by using repeatedly the same state and input information on some fixed time intervals. A practical online algorithm is developed in this paper, and is applied to the controller design for a turbocharged diesel engine with exhaust gas recirculation.
This work deals with a new method for solving Integer Linear Programming Problems depending on a previous methods for solving these problems, such that Branch and Bound method and Cutting Planes method where this new method is a combination between t hem and we called it Cut and Branch method. The reasons which led to this combination between Cutting Planes method and Branch and Bound method are to defeat from the drawbacks of both methods and especially the big number of iterations and the long time for the solving and getting of a results between the results of these methods where the Cut and Branch method took the good properties from the both methods. And this work deals with solving a one problem of Integer Linear Programming Problems by Branch and Bound method and Cutting Planes method and the new method, and we made a programs on the computer for solving ten problems of Integer Linear Programming Problems by these methods then we got a good results and by that, the new method (Cut and Branch) became a good method for solving Integer Linear Programming Problems. The combination method which we doing in this research opened a big and wide field in solving Integer Linear Programming Problems and finding the best solutions for them where we did the combination method again between the new method (Cut and Branch) and the Cutting Planes method then we got a new method with a very good results and solutions.
Operational research science aims to find the optimal solution to many problems in various life domains. One of the most famous is the network analysis. Problem. In this paper we introduce an effective algorithm with linear time O ( n + k ) within it all network activities are executed within determined period and with a minimum cost.
The decision-making process is the most important topics of operations research, which offers methods and tools to assist decision makers in reaching resolution. Research overture applied and analytic study for decision making state in production workshops whose belong estimation of optimal production size and overture mathematical model for production plan by dependence on Input – Output table for constraint production size in every workshop and coordination between internal demand, market, and production plan for solve recession problem and estimation of plan profits. Research eventuates to results overture Input – Output table model practicable in any production unit.
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