Extension of the Weiszfeld procedure to a single facility minisum location model with mixed ℓ p norms

Autor:	Robert F. Love, Jack Brimberg, Nenad Mladenović
Rok vydání:	2008
Předmět:	Set (abstract data type) Mathematical optimization Location model General Mathematics Convergence (routing) Mode (statistics) Extension (predicate logic) Management Science and Operations Research Fixed point Lp space Simple extension Software Mathematics
Zdroj:	Mathematical Methods of Operations Research. 70:269-283
ISSN:	1432-5217 1432-2994
DOI:	10.1007/s00186-008-0268-z
Popis:	This paper presents a general mixed-norm minisum problem for locating a single facility in continuous space. It is assumed that several transportation modes exist between the new facility and a given set of fixed points (the customers), each mode being represented by a different lp norm. A simple extension of Weiszfeld’s well known iterative procedure is proposed to solve the model. Convergence properties and optimality criteria are derived, and computational results are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::68ff47a52d89a46f8cc2df793ed981b5 https://doi.org/10.1007/s00186-008-0268-z Zobrazit plný text záznamu