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A PROBABILISTIC FIRE‐PROTECTION SITING MODEL WITH JOINT VEHICLE RELIABILITY REQUIREMENTS
Author(s) -
Marianov Vladimir,
ReVelle Charles
Publication year - 1992
Publication title -
papers in regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.937
H-Index - 64
eISSN - 1435-5957
pISSN - 1056-8190
DOI - 10.1111/j.1435-5597.1992.tb01844.x
Subject(s) - probabilistic logic , truck , reliability (semiconductor) , joint (building) , population , integer programming , computer science , linear programming relaxation , reliability engineering , operations research , engineering , civil engineering , automotive engineering , algorithm , power (physics) , physics , demography , quantum mechanics , artificial intelligence , sociology
A probabilistic fire‐protection siting model is described that places capacitated stations, engine companies, and truck companies in such a way that the population or calls covered by an engine and a truck with a joint reliability of at least α is maximized. Probabilistic constraints are developed and numerical equivalents are found for the probability requirement for proximate server presence. The multiple co‐location of servers at stations and the use of stations with a limited capacity are also investigated. Structures are utilized that preserve the integer properties when the model is solved by linear programming relaxation.