Advances in Optimization and Linear Programming
暫譯: 優化與線性規劃的進展
Stanimirovic, Ivan
- 出版商: Apple Academic Press
- 出版日期: 2022-01-27
- 售價: $5,180
- 貴賓價: 9.5 折 $4,921
- 語言: 英文
- 頁數: 194
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1774637405
- ISBN-13: 9781774637401
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商品描述
This new volume provides the information needed to understand the simplex method, the revised simplex method, dual simplex method, and more for solving linear programming problems.
Following a logical order, the book first gives a mathematical model of the linear problem programming and describes the usual assumptions under which the problem is solved. It gives a brief description of classic algorithms for solving linear programming problems as well as some theoretical results. It goes on to explain the definitions and solutions of linear programming problems, outlining the simplest geometric methods, and showing how they can be implemented. Practical examples are included along the way. The book concludes with a discussion of multi-criteria decision-making methods.
This volume is a highly useful guide to linear programming for professors and students in optimization and linear programming.
商品描述(中文翻譯)
這本新書提供了解 simplex 方法、修正 simplex 方法、對偶 simplex 方法等解決線性規劃問題所需的資訊。
本書按照邏輯順序,首先給出線性規劃問題的數學模型,並描述解決該問題所依賴的通常假設。接著簡要介紹了解決線性規劃問題的經典演算法以及一些理論結果。然後解釋線性規劃問題的定義和解法,概述最簡單的幾何方法,並展示如何實現這些方法。書中還包含了實際範例。最後,本書以多準則決策方法的討論作結。
這本書對於優化和線性規劃的教授和學生來說,是一本非常有用的線性規劃指南。
作者簡介
Ivan Stanimirovic, PhD, is currently Associate Professor at the Department of Computer Science, Faculty of Sciences and Mathematics at the University of Nis, Serbia. He was formerly with the Faculty of Management at Megatrend University, Belgrade, as a lecturer. His work spans from multi-objective optimization methods to applications of generalized matrix inverses in areas such as image processing and restoration and computer graphics. His current research interests include computing generalized matrix inverses and their applications, applied multi-objective optimization and decision-making, as well as deep learning neural networks. Dr. Stanimirovic was the chairman of a workshop held at the 13th Serbian Mathematical Congress, Vrnjaèka Banja, Serbia, in 2014.
作者簡介(中文翻譯)
伊凡·斯塔尼米羅維奇 (Ivan Stanimirovic) 博士,目前是塞爾維亞尼什大學科學與數學學院計算機科學系的副教授。他曾在貝爾格萊德的梅加趨勢大學管理學院擔任講師。他的研究範圍從多目標優化方法到廣義矩陣逆在圖像處理、修復及計算機圖形學等領域的應用。他目前的研究興趣包括計算廣義矩陣逆及其應用、應用多目標優化與決策制定,以及深度學習神經網絡。斯塔尼米羅維奇博士曾於2014年擔任第十三屆塞爾維亞數學大會(Serbian Mathematical Congress)在塞爾維亞維爾尼亞卡班雅舉辦的研討會主席。