no. 1
Properties of ordinary and weighted sums of order p used for distance estimation
RAIRO - Operations Research - Recherche Opérationnelle, Tome 29 (1995) no. 1, pp. 59-72 
@article{RO_1995__29_1_59_0,
     author = {Brimberg, J. and Love, R. F.},
     title = {Properties of ordinary and weighted sums of order $p$ used for distance estimation},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {59--72},
     year = {1995},
     publisher = {EDP Sciences},
     volume = {29},
     number = {1},
     mrnumber = {1321540},
     zbl = {0835.90039},
     language = {en},
     url = {https://www.numdam.org/item/RO_1995__29_1_59_0/}
}
TY  - JOUR
AU  - Brimberg, J.
AU  - Love, R. F.
TI  - Properties of ordinary and weighted sums of order $p$ used for distance estimation
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 1995
SP  - 59
EP  - 72
VL  - 29
IS  - 1
PB  - EDP Sciences
UR  - https://www.numdam.org/item/RO_1995__29_1_59_0/
LA  - en
ID  - RO_1995__29_1_59_0
ER  - 
%0 Journal Article
%A Brimberg, J.
%A Love, R. F.
%T Properties of ordinary and weighted sums of order $p$ used for distance estimation
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 1995
%P 59-72
%V 29
%N 1
%I EDP Sciences
%U https://www.numdam.org/item/RO_1995__29_1_59_0/
%G en
%F RO_1995__29_1_59_0
Brimberg, J.; Love, R. F. Properties of ordinary and weighted sums of order $p$ used for distance estimation. RAIRO - Operations Research - Recherche Opérationnelle, Tome 29 (1995) no. 1, pp. 59-72. https://www.numdam.org/item/RO_1995__29_1_59_0/

1. E. F. Beckenbach, An Inequality of Jensen, American Mathematical Monthly, 53, 1946, pp. 501-505. | Zbl | MR

2. E.F. Beckenbach, R. Bellman, Inequalities, Second revised printing, Springer-Verlag, Berlin, 1965. | Zbl | MR

3. J. Brimberg, R. F. Love, Estimating Travel Distance by the Weighted lp Norm, Naval Research Logistics, 38 1991, pp. 241-259. | Zbl | MR

4. S. Eilon, C. D. T. Watsom-Gandy, N. Christofides, Distribution Management: Mathematical Modelling and Practical Analysis, Hafner Publishing Company, New York, 1971.

5. V. Ginsburgh, P. Hansen, Procedures for the Reduction of Errors in Road Network Data, Operational Research Quarterly, 25, 1974, pp. 321-322.

6. G. H. Hardy, J. E. Littlewood, G. Pólya, Inequalities, 2nd edition, Cambridge University Press, Cambridge, 1952. | Zbl | MR | JFM

7. R. Klein, Voronoi Diagrams in the Moscow Metric, Institute für Informatik, Universität Freiburg, 1987.

8. G. B. Kleindorfer, G. A. Kochenberg, E. T. Reutzel, Computing Inter-Site Distances for Routing and Scheduling Problems, Operations Research Letters, 1, 1981, pp. 31-33. | Zbl

9. P. Kolesar, W. Walker, J. Hausner, Determining the Relation between Fire Engine Travel Times and Travel Distances in New York City, Operations Research, 23, 1975, pp. 614-627.

10. R. F. Love, J. G. Morris, Modelling Inter-City Road Distances by Mathematical Models, Operational Research Quarterly, 23, 1972, pp. 61-71. | Zbl

11. R. F. Love, J. G. Morris, Mathematical Models of Road Travel Distances, Management Science, 25, 1979, pp. 130-139. | Zbl

12. R. F. Love, J. G. Morris, On Estimating Road Distances by Mathematical Functions, European Journal of Operational Research, 36, 1988, pp. 251-253.

13. R. F. Love, J. G. Morris, G. O. Wesolowsky, Facilities Location: Models and Methods, North-Holland, New York, N.Y., 1988. | Zbl | MR

14. R. F. Love, J. H. Walker, An Empirical Comparison of Block and Round Norms for Modelling Actual Distances, Location Science, to appear. | Zbl

15. Roadnet, Roadnet Technologies, 10540 York Rd., Huntvalley, Maryland, 1993.

16. TRUCKSTOPS 2-Vehicle Routing System, Micro-Analytics, Suite One, 2045 North 15th Street, Arlington, Virginia, and Suite 201, 1986 Queen Street East, Toronto, Ontario, 1993.

17. J. E. Ward, R. E. Wendell, A New Norm for Measuring Distance Which Yields Linear Location Models, Operations Research, 28, 1980, pp. 836-844. | Zbl

18. J. E. Ward, R. E. Wendell, Using Block Norms for Location Modelling, Operations Research 33, 1985, pp. 1074-1090. | Zbl | MR

19. J. B. Westwood, A Transport Planning Model for Primary Distribution, Interfaces, 8, 1977, pp. 1-10.