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Integer Models

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Integer Models. / Silvennoinen, Risto; Merikoski, Jorma.

Mathematical Modelling. ed. / Seppo Pohjolainen. Springer International Publishing, 2016. p. 35-54.

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

Harvard

Silvennoinen, R & Merikoski, J 2016, Integer Models. in S Pohjolainen (ed.), Mathematical Modelling. Springer International Publishing, pp. 35-54. https://doi.org/10.1007/978-3-319-27836-0_4

APA

Silvennoinen, R., & Merikoski, J. (2016). Integer Models. In S. Pohjolainen (Ed.), Mathematical Modelling (pp. 35-54). Springer International Publishing. https://doi.org/10.1007/978-3-319-27836-0_4

Vancouver

Silvennoinen R, Merikoski J. Integer Models. In Pohjolainen S, editor, Mathematical Modelling. Springer International Publishing. 2016. p. 35-54 https://doi.org/10.1007/978-3-319-27836-0_4

Author

Silvennoinen, Risto ; Merikoski, Jorma. / Integer Models. Mathematical Modelling. editor / Seppo Pohjolainen. Springer International Publishing, 2016. pp. 35-54

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title = "Integer Models",
abstract = "The examples on “network design” (p. 15), “river and flood models” (p. 20) and “urban water systems” (p. 21) lead us to consider networks. A useful way to describe a network is to define for each pair of nodes a function whose value is 1 if there is a direct connection between these nodes in the network, and 0 otherwise. More generally, x = 1 can be used to indicate that a certain event occurs and x = 0 that it does not. Indeed, binary (i.e., 0-1-valued) variables appear in many models, and so do also other integer-valued variables. In this chapter we shall take a look at such models.",
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AB - The examples on “network design” (p. 15), “river and flood models” (p. 20) and “urban water systems” (p. 21) lead us to consider networks. A useful way to describe a network is to define for each pair of nodes a function whose value is 1 if there is a direct connection between these nodes in the network, and 0 otherwise. More generally, x = 1 can be used to indicate that a certain event occurs and x = 0 that it does not. Indeed, binary (i.e., 0-1-valued) variables appear in many models, and so do also other integer-valued variables. In this chapter we shall take a look at such models.

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