Integer Programming

H. A. Eiselt () and C. -L. Sandblom ()
Additional contact information
H. A. Eiselt: University of New Brunswick
C. -L. Sandblom: Dalhousie University

Chapter 4 in Operations Research, 2010, pp 135-176 from Springer

Abstract: Abstract Not too long after more and more applications of linear programming were developed, it became apparent that in some of these applications, the variables would not be able to attain just any (nonnegative) value, but should be integers. As a simple applications, if a variable has been defined to denote the number of cans of beans manufactured in the planning period, then surely it would make no sense to make, say, 1,305,557.3 cans: the last 0.3 cans would have to be rounded up or down. While this may be an acceptable practice when dealing with this application (after all, it makes very little difference whether or not we make 0.3 cans more or less), in other applications this may make a huge difference. For instance, assigning airplanes to routes or trucks to deliveries may very well make the difference between gain and loss. Furthermore, simply rounding up or down a noninteger (usually referred to as a continuous solution) will not necessarily result in an optimal integer solution. We will demonstrate this fact below.

Keywords: Programming Problem; Integer Program; Linear Programming Problem; Knapsack Problem; Integer Solution (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-10326-1_4

Ordering information: This item can be ordered from
http://www.springer.com/9783642103261

DOI: 10.1007/978-3-642-10326-1_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().