M8150 Integer programming

Faculty of Science
Spring 2000
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kaďourek, CSc. (lecturer)
Guaranteed by
doc. RNDr. Jiří Kaďourek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Jiří Kaďourek, CSc.
Prerequisites (in Czech)
M4110 Linear programming
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Integer linear programming problems.
  • The status of the integer linear programming problem.
  • General cutting-plane algorithm.
  • The Gomory fractional cutting-plane algorithm.
  • The Gomory all-integer cutting-plane algorithm.
  • General branch-and-bound algorithm.
  • The branch-and-bound algorithm using linear programming relaxations.
  • Dynamic programming and the knapsack problem.
  • Solving the knapsack problem using a branch-and-bound algorithm.
Literature
  • NEMHAUSER, George L. and Laurence A. WOLSEY. Integer and Combinatorial Optimization. Online. New York: John Wiley & Sons, 1988. 763 pp. ISBN 0-471-82819-X. [citováno 2024-04-23] info
  • SCHRIJVER, Alexander. Theory of Linear and Integer Programming. Online. Chichester: John Wiley & Sons, 1986. 471 pp. ISBN 0 471 90854 1. [citováno 2024-04-23] info
Language of instruction
Czech
Further Comments
The course is taught once in two years.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2002, Spring 2004, Spring 2006, Spring 2008.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M8150