Warranties and Inventory

Jay Swaminathan from University of North Carolina was visiting us today. He gave an interesting talk about how to set inventory levels when warranty replacement is a significant issue. This paper really hit a chord since I am working on my 5th(!) iPod. It seems without fail that my iPod fails after 3 or 4 months, requiring a return shipment and then a new iPod. The only good aspect of this is that the warrantee is reset, so an iPod originally bought in July 2004 is now warrenteed until November 2006. Who needs extended warrantees!

In any case, the paper (Jay together with Wei Huang and Vidhyadhar Kulkarni) made a couple good points: first, for fairly realistic data (they are working with a real, unnamed company), ignoring the warrantee needs in setting inventory can lead to pretty high stock-out charges. The second, less obvious but perhaps more important point, involved some new technology the company was planning to invest in. The company was going to put in a system whereby they would get detailed information on when an item was sold (and which item), rather than the aggregate sales values it was getting. This would give the firm an accurate distribution of the actual ages of the items in the field, rather than just the total numbers. It turns out that there was very little value in the more detailed distribution: aggregate information worked out almost as well. A good example of the value of analysis before making significant investments.

OR Exhibits

I just got back from Washington, where a friend of ours, a scientific illustrator, had an opening for his work at the AAAS. It is a very impressive show, with a mix of illustrations of insects, plants, dinosaurs, and extinct mammals. The attendees of the opening were a real mix. Some had a scientific background, but most were enthusiastic amateurs.

It is too bad that OR doesn’t lend itself to this sort of amateur interest. Martin Gardner‘s Mathematical Games column (and some of his successors) did appeal to the nonprofessional, and often had a strong OR flavor (that’s how I got my start). But having an exhibit, attracting a mix of people, seems unlikely.

The closest we come to this is some of the optimization art done by Robert Bosch of Oberlin (I am sure there are others, and I would like to hear about them). Bob works in dominoes, traveling salesman tours, and many other media to create art through optimization. See, in particular, his site dominoartwork.com for samples of what he does.

OK, that makes two things I want to do since I started this blog: solve world hunger through improved logistics and have an opening at a prestigious museum. Looks like this blog is going to cause more problems than it solves!