### Abstract

As a rule, data to be used in locational analysis are either rounded up or rounded down. Therefore, error is incurred if such location data are used. The objective of this paper is to examine location error and cost error due to rounding in unweighted minisum and minimax problems in one‐dimensional continuous space. Several conclusions on rounding effects are obtained by examining the respective mean‐squared errors. First, rounding tends to exert more serious influence on the minisum problem than on the minimax problem. Second, in both location problems, the location error shows a pattern that is the inverse of that of the cost error. 1991 The Ohio State University

Original language | English |
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Pages (from-to) | 56-73 |

Number of pages | 18 |

Journal | Geographical Analysis |

Volume | 23 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1991 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Geography, Planning and Development
- Earth-Surface Processes

### Cite this

*Geographical Analysis*,

*23*(1), 56-73. https://doi.org/10.1111/j.1538-4632.1991.tb00221.x

**Errors Caused by Rounded Data in Two Simple Facility Location Problems.** / Ohsawa, Yoshiaki; Koshizuka, Takeshi; Kurita, Osamu.

Research output: Contribution to journal › Article

*Geographical Analysis*, vol. 23, no. 1, pp. 56-73. https://doi.org/10.1111/j.1538-4632.1991.tb00221.x

}

TY - JOUR

T1 - Errors Caused by Rounded Data in Two Simple Facility Location Problems

AU - Ohsawa, Yoshiaki

AU - Koshizuka, Takeshi

AU - Kurita, Osamu

PY - 1991/1/1

Y1 - 1991/1/1

N2 - As a rule, data to be used in locational analysis are either rounded up or rounded down. Therefore, error is incurred if such location data are used. The objective of this paper is to examine location error and cost error due to rounding in unweighted minisum and minimax problems in one‐dimensional continuous space. Several conclusions on rounding effects are obtained by examining the respective mean‐squared errors. First, rounding tends to exert more serious influence on the minisum problem than on the minimax problem. Second, in both location problems, the location error shows a pattern that is the inverse of that of the cost error. 1991 The Ohio State University

AB - As a rule, data to be used in locational analysis are either rounded up or rounded down. Therefore, error is incurred if such location data are used. The objective of this paper is to examine location error and cost error due to rounding in unweighted minisum and minimax problems in one‐dimensional continuous space. Several conclusions on rounding effects are obtained by examining the respective mean‐squared errors. First, rounding tends to exert more serious influence on the minisum problem than on the minimax problem. Second, in both location problems, the location error shows a pattern that is the inverse of that of the cost error. 1991 The Ohio State University

UR - http://www.scopus.com/inward/record.url?scp=0026072547&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026072547&partnerID=8YFLogxK

U2 - 10.1111/j.1538-4632.1991.tb00221.x

DO - 10.1111/j.1538-4632.1991.tb00221.x

M3 - Article

AN - SCOPUS:0026072547

VL - 23

SP - 56

EP - 73

JO - Geographical Analysis

JF - Geographical Analysis

SN - 0016-7363

IS - 1

ER -