The Complexity of Zadeh's Pivot Rule

• Main Author: Vincent Hopp, Alexander (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: Berlin/Germany Logos Verlag Berlin 2020
• Subjects: Probability & statistics; Optimierung, Optimization; Komplexität, Complexity; Lineare Programmierung, Linear programming; Simplexalgorithmus, Simplex algorithm; Pivotregel, Pvot rule
• Online Access: DOAB: download the publication; DOAB: description of the publication

The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the most used algorithm for solving linear programs in practice. In the last 50 years, several pivot rules for this algorithm have been proposed and studied. For most deterministic pivot rules, exponential...