Drezner, Zvi Location of regional facilities. (English) Zbl 0593.90029 Nav. Res. Logist. Q. 33, 523-529 (1986). Summary: We consider the single-facility and multifacility problems of the minisum type of locating facilities on the plane. Both demand locations and the facilities to be located are assumed to have circular shapes, and demand and service is assumed to have a uniform probability density inside each shape. The expected distance between two facilities is calculated. Euclidean and squared-Euclidean distances are discussed. Cited in 11 Documents MSC: 90B05 Inventory, storage, reservoirs Keywords:minisum facility location in the plane; single-facility; multifacility × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Benneett, Journal of Regional Science 14 pp 131– (1974) [2] Cooper, Journal of Regional Science 8 pp 181– (1968) [3] Drezner, Journal of the Operational Research Society 30 pp 923– (1979) [4] Drezner, Management Science 24 pp 1507– (1978) [5] Drezner, Journal of Regional Science 18 pp 303– (1978) [6] Drezner, Naval Research Logistics Quarterly 27 pp 199– (1980) [7] Drezner, Transportation Science 16 pp 56– (1982) [8] Eyster, AIIE Transactions 5 pp 1– (1973) · doi:10.1080/05695557308974875 [9] and , Facility Layout and Location, Prentice Hall, Englewood Cliffs, NJ, 1974. [10] Katz, SIAM Journal on Applied Mathematics 17 pp 1224– (1969) [11] Love, Naval Research Logistics Quarterly 23 pp 503– (1969) · Zbl 0194.20805 · doi:10.1002/nav.3800160405 [12] Love, Journal of Regional Science 12 pp 233– (1972) [13] Love, Operations Research 23 pp 581– (1975) [14] Morris, Operations Research 29 pp 37– (1981) [15] Morris, Operations Research 27 pp 1180– (1979) [16] and , Ordinary Differential Equations, Harper & Row, New York, 1963. [17] Wesolowsky, Naval Research Logistics Quarterly 18 pp 83– (1971) [18] Wesolowsky, Management Science 18 pp 56– (1972) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.