I'm looking for a text for an introductory graduate integer programming course. The students are mostly mathematical sciences majors at the MS and PhD levels, though we occasionally get engineers as well.

I know about Nemhauser and Wolsey, of course, but that can be rather heavy going for the more applied students. We've been using Wolsey's shorter book, but that seems, well, a bit short.

Does anyone have a recommendation for something in between? What do you like or dislike about your choice?

asked 01 Jun '11, 09:50

Matthew%20Saltzman's gravatar image

Matthew Salt... ♦
accept rate: 17%

retagged 26 Nov '11, 14:36

fbahr's gravatar image

fbahr ♦

I'm not in academia, so I'm afraid I'm not aware of the full range of books currently. But you do make a good point: books like Nemhauser & Wolsey cover MIP in great detail, while there is an opportunity for books that are accurate but less detailed. I have one from my undergraduate years but it's so old now that it's far behind the state of how MIP solvers really work.

(02 Jun '11, 11:17) Greg Glockner

I agree Nemhauser and Wolsey is not easy to digest.

I recently bought this book :


I have not had the time to read it from front to back, but I have glance chapters and it seem to have a good weight on applied and easy approach, which could make it useful for students.


answered 01 Jun '11, 10:19

Bo%20Jensen's gravatar image

Bo Jensen ♦
accept rate: 14%

How about this one:

Bertsimas and Weismantel

It is much easier to understand than Nemhauser & Wolsey IMO.


answered 03 Jun '11, 03:54

Morten%20Petersen's gravatar image

Morten Petersen
accept rate: 0%

This looks interesting. I'll have to get a copy to look at more closely.

(03 Jun '11, 10:27) Matthew Salt... ♦

I had like to point out a very recent book : 50 years of Integer Programming, that was compiled from lectures at a Aussois workshop few years back. Although it is not in an ideal textbook format and assumes some basic background in IP, it does contain some recent hot topics such as symmetry, two-row relaxations, SDP relaxations, computational MIP etc. that are missing in Nemhauser & Wolsey. It can possibly be used as an add-on to Wolsey's book.


answered 13 Dec '12, 09:09

Akshay%20Gupte's gravatar image

Akshay Gupte
accept rate: 0%

Here are a bunch of Integer Programming books Integer Programming books from IEORTools.com


answered 01 Jun '11, 19:51

larrydag%201's gravatar image

larrydag 1 ♦
accept rate: 9%

Well, OK. But most of those are not IP text books. Of the ones that are (Wolsey, Nemhauser and Wolsey, Schrijver, and Chen et al.), Wolsey is the one we've been using, I already expressed a preference not to use N&W, and Schrijver is even less appropriate for our mix. Chen is new to me, so comments on that would be welcome. The rest are only incidentally about integer programming, if at all, or are not textbooks. (Oh, and the Dover link is bad. It should point to the old Garfinkel and Nemhauser book.)

(01 Jun '11, 20:27) Matthew Salt... ♦

Thanks for the feedback Matthew. I'd welcome any suggestions to improve the site.

(06 Jun '11, 08:47) larrydag 1 ♦

I had pretty good luck with Salkin and Mathur once upon a time, but it may be out of print. Easier going than Nemhauser and Wolsey, I think. I also had good luck with Garfinkel and Nemhauser, which I think is also less chewy than N&W. I haven't seen the recent version of G&N, but at least it's in print.


answered 02 Jun '11, 17:17

Paul%20Rubin's gravatar image

Paul Rubin ♦♦
accept rate: 19%

I used G&N in grad school. It's got good discussions of the basics, but it's pretty dated now. It's available from Dover, though. I haven't used Salkin, but it seems also to take a rather traditionalist approach, from what I've seen of it.

(03 Jun '11, 09:47) Matthew Salt... ♦

@Matthew Saltzmann: Isn't N&W also dated given that it was published in 1988?

(05 Jun '11, 00:51) Sid

@Sid--It's not simply a matter of age. The key ideas in integer programming underwent significant shift in the 1980s. N&W was really the first text to take what would still be considered a "modern" approach to the subject. G&N exemplifies the "pre-revolutionary" approach. Many of the topics in G&N are not part of what one would now consider the core of IP training, especially in a first course.

(05 Jun '11, 21:57) Matthew Salt... ♦
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Asked: 01 Jun '11, 09:50

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Last updated: 13 Dec '12, 09:09

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