Linear Programming Simplex Method

Apr 30th, 2015
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Linear Programming, an introduction MIGUEL A. S. CASQUILHO IST, Universidade Técnica de Lisboa, Ave. Rovisco Pais, IST; 1049-001 Lisboa, Portugal Linear Programming is presented at an introductory level, mainly from the book by Hillier and Lieberman [2005], abridged and adapted to suit the objectives of the “Operational Research” course.

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Linear Programming; Simplex Method1Topics on "Operational Research" Mar. 2007, ISTLinear Programming, an introductionMIGUEL A. S. CASQUILHO IST, Universidade Tcnica de Lisboa, Ave. Rovisco Pais, IST; 1049-001 Lisboa, Portugal Linear Programming is presented at an introductory level, mainly from the book by Hillier and Lieberman [2005], abridged and adapted to suit the objectives of the Operational Research course. It begins with segments of its third chapter.Key words: linear programming; simplex method.I. Fundamentals and scopeBased on a prototype example, Linear Programming is presented, as well as the simplex method of resolution. This method was first presented by G. B. Dantzig in 1947 [MacTutor, 2007]. The text is based on the book by Hillier and Lieberman [2005], and begins with segments of the third chapter of the book.II. Explanation of the simplex method 3 Introduction to Linear Programming (H&L 25)The development of linear programming has been ranked among the most important scientific advances in the mid-20.th century, and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Today it is a standard tool that has saved many thousands or millions of dollars for most companies or businesses of even moderate size in the various industrialized countries of the world; and its use in other sectors of society has been spreading rapidly.3.1 Prototype example(H&L 26)Table 1 Data for the Wyndor Glass Co. problem

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