# Review - Algorithms in Systems Engineering IE170 Final...

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Unformatted text preview: Algorithms in Systems Engineering IE170 Final Review Dr. Ted Ralphs IE170 Final Review 1 Textbook Sections Covered in Course Introduction to Part I Chapter 1, all sections Chapter 2, all sections Chapter 3, all sections Chapter 4, intro and sections 1-3 Introduction to Part II Chapter 6, all sections Chapter 7, all sections Introduction to Part III Chapter 10, all sections Chapter 11, intro and sections 1-4 Chapter 12, all sections Chapter 21, intro and sections 1-3 Introduction to Part VI Chapter 22, intro and sections 1-4. Chapter 23, intro and section 3. Chapter 28, intro and sections 1 and 3. Chapter 31, intro and sections 2, 4, 6, 7, 8. Chapter 32, intro and sections 1, 2, and 4. IE170 Review: Algorithms 2 Algorithms IE170 Review: Algorithms 3 Algorithms • The main theme of the course has been the design, implementation, and analysis of algorithms and data structures for solving problems . • A problem specifies the form of the output desired for a given set of inputs. • An algorithm is a specific procedure for converting input to output. • An algorithm is said to be correct for a given problem if it successfully converts each possible input into an output of the desired form, called a solution . • Ultimately, we are interested in algorithms that are fast . • We will judge the speed of an algorithm by the number of fundamental operations required to execute it, generally called the running time . • This provides a measure that is independent of hardware . IE170 Review: Algorithms 4 Analyzing Algorithms • The goal of analyzing an algorithm is to determine its running time. • A problem instance is just a specific set of inputs. • The running time of an algorithm is different for different instances. • This creates difficulties for analysis and leads to two different summary measures of running time. – Worst-case – Average-case • Worst-case is almost always easier to compute, but average-case is often a more useful measure. • We can use either theoretical or empirical analysis, or a combination, to determine running time. IE170 Review: Algorithms 5 Models of Computation • In order to analyze the number of steps necessary to execute an algorithm, we have to say what we mean by a “step.” • To define this precisely is tedious and beyond the scope of this course. • A precise definition depends on the exact hardware being used. • Our analysis will assume a very simple model of a computer called a random access machine (RAM). • In a RAM, the following operations take one step. – arithmetic (addition, subtraction, multiplication, division) – data movement (read from memory, store in memory, copy) – comparison – control (function calls, goto commands) • This is a very idealized model, but it works in practice....
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## This note was uploaded on 02/29/2008 for the course IE 170 taught by Professor Ralphs during the Spring '07 term at Lehigh University .

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Review - Algorithms in Systems Engineering IE170 Final...

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