Using Mixed Integer Programming to Win a Cycling Game

Jeroen Beliën
Campus Economische Hogeschool, Hogeschool-Universiteit Brussel, B-1000 Brussels, Belgium, and Department of Decision Sciences and Information Management, Research Center for Operations Management, Katholieke Universiteit Leuven, B-3000 Leuven, Belgium, jeroen.belien@hubrussel.be

Dries Goossens
Department of Decision Sciences and Information Management, Katholieke Universiteit Leuven, ORSTAT, B-3000 Leuven, Belgium, dries.goossens@econ.kuleuven.be

Daam Van Reeth
Campus Economische Hogeschool, Hogeschool-Universiteit Brussel, B-1000 Brussels, Belgium, daam.vanreeth@hubrussel.be

Liesje De Boeck
Campus Economische Hogeschool, Hogeschool-Universiteit Brussel, B-1000 Brussels, Belgium, and Department of Decision Sciences and Information Management, Research Center for Operations Management, Katholieke Universiteit Leuven, B-3000 Leuven, Belgium, liesje.deboeck@hubrussel.be

Abstract

This paper presents an application of optimization modeling to the winning of a popular cycling game. The application includes real-life data of contempory cyclists. It also has the potential to motivate students with a competitive but fun "race" for a solution. Because the developed optimization model contains features of knapsack problems, multiperiod inventory problems, and logical constraint modeling, it is perfectly suitable for a concluding case study in an undergraduate operations research/management science course. The application was originally developed for an MBA operations research course focusing on spreadsheet modeling skills, but it can also be used in courses that focus on algebraic modeling of optimization problems.

Key words

cycling; game; spreadsheet modeling; mixed-integer programming; knapsack problems; multiperiod inventory problems

History

Received: May 2009; accepted: August 2010

Download the PDF

pdf ited-11-3-pp93-99

Supplementary Material

vnd.ms-excel GIGABIKE_OPT_2008_FOR_MBA.xls

Citation Information

Beliën, J., D. Goosens, D. Van Reeth, L. De Boeck. 2011. Using mixed-integer programming to win a cycling game. INFORMS Trans. Ed. 11(3) 93-99. Available online at http://ite.pubs.informs.org/.

http://dx.doi.org/10.1287/ited.1110.0062