Using Dimensional Analysis to Teach Production/Operations/Supply Chain Management

dc.contributor.authorRoach, Billen_US
dc.dateSeptember 2010en_US
dc.description.abstractScientists and engineers have been using the concept of dimensional homogeneity since it was introduced by Fourier (1822) "...every undetermined magnitude or constant has one dimension proper to itself, and the terms of one and the same equation could not be compared if they had not the same exponent of dimensions." The theory behind "dimensional homogeneity" was formalized by Edgar Buckingham (Buckingham, 1914), and it has become an integral part of the science and engineering curriculum ever since. While many business professors have some background in science and engineering, dimensional homogeneity or dimensional analysis is not a topic which is typically included in the business curriculum. This article examines some dimensional analysis approaches to some conventional operations management topics including capacity management, time value of money, breakeven/crossover analysis, and Economic Order Quantity (EOQ). The basic idea behind dimensional analysis is not "adding apples and oranges." This paper will look at some operations management applications of dimensional analysis and then try to restate some of the theory of dimensional analysis that will allow a broader application of the technique. Operations management applications will be given in a "before and after" format. Comparison of the before and after presentations will hopefully show some advantage to the dimensional analysis approach.en_US
dc.description.sponsorshipKaw Valley Banken_US
dc.identifier.otherSchool of Business Working Paper Series; No. 123en_US
dc.publisherWashburn University. School of Businessen_US
dc.subjectDimensional analysisen_US
dc.subjectBusiness mathematicsen_US
dc.subjectBusiness logisticsen_US
dc.subjectProduction managementen_US
dc.subjectSupply chain managementen_US
dc.subjectBuckingham's Pi Thereomen_US
dc.subjectDimensional arithmeticen_US
dc.subjectDimensional homogeneityen_US
dc.subjectOperations managementen_US
dc.titleUsing Dimensional Analysis to Teach Production/Operations/Supply Chain Managementen_US
dc.typeWorking paperen_US
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