TY - JOUR AU - Mark A.M. Lynch AB - In this paper we use a continuous time Markov chain to model a simple optimisation problem with stochastic elements. The prerequisites are a knowledge of linear constant coefficient systems and some elementary probability—including the negative exponential distribution, which is briefly reviewed. The problem addressed has wide appeal and has the advantage of being based on modelling with differential equations. It offers an alternative to the classic mechanics and population models. The problem has easy generalizations with which to create variations. Special consideration is given to looking at some of the assumptions of the model and questioning the model solution. Received December 2002. Accepted May 2003. Copyright The Institute of Mathematics and its Applications 2003 « Previous | Next Article » Table of Contents This Article Teaching Mathematics Applications (2003) 22 (2): 77-88. doi: 10.1093/teamat/22.2.77 » Abstract Free Full Text (PDF) Free Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Request Permissions Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Lynch, M. A. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? 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