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Introduction

In: Design and Analysis of Approximation Algorithms

Author

Listed:
  • Ding-Zhu Du

    (University of Texas at Dallas)

  • Ker-I Ko

    (State University of New York at Stony Brook)

  • Xiaodong Hu

    (Academy of Mathematics and Systems Science Chinese Academy of Sciences)

Abstract

When exact solutions are hard to compute, approximation algorithms can help. In this chapter, we introduce the basic notions of approximation algorithms.We study a simple optimization problem to demonstrate the tradeoff between the time complexity and performance ratio of its approximation algorithms. We also present a brief introduction to the general theory of computational complexity and show how to apply this theory to classify optimization problems according to their approximability.

Suggested Citation

  • Ding-Zhu Du & Ker-I Ko & Xiaodong Hu, 2012. "Introduction," Springer Optimization and Its Applications, in: Design and Analysis of Approximation Algorithms, chapter 1, pages 1-33, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-1701-9_1
    DOI: 10.1007/978-1-4614-1701-9_1
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