@inbook{95e15127cb934b66ab66acaeb703df03,

title = "Duality theory",

abstract = "Associated with every linear program is another called its dual. The dual of this dual linear program is the original linear program (which is then referred to as the primal linear program). Hence, linear programs come in primal/dual pairs. It turns out that every feasible solution for one of these two linear programs gives a bound on the optimal objective function value for the other. These ideas are important and form a subject called duality theory, which is the topic of this chapter.",

author = "Vanderbei, {Robert J.}",

note = "Publisher Copyright: {\textcopyright} The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.",

year = "2020",

doi = "10.1007/978-3-030-39415-8_5",

language = "English (US)",

series = "International Series in Operations Research and Management Science",

publisher = "Springer",

pages = "59--88",

booktitle = "International Series in Operations Research and Management Science",

}