## Integer Models

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

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*Mathematical Modelling.*Springer International Publishing, pp. 35-54. https://doi.org/10.1007/978-3-319-27836-0_4

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*Mathematical Modelling*(pp. 35-54). Springer International Publishing. https://doi.org/10.1007/978-3-319-27836-0_4

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TY - CHAP

T1 - Integer Models

AU - Silvennoinen, Risto

AU - Merikoski, Jorma

PY - 2016

Y1 - 2016

N2 - 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.

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.

U2 - 10.1007/978-3-319-27836-0_4

DO - 10.1007/978-3-319-27836-0_4

M3 - Chapter

SN - 978-3-319-27834-6

SP - 35

EP - 54

BT - Mathematical Modelling

A2 - Pohjolainen, Seppo

PB - Springer International Publishing

ER -