The parallel complexity of positive linear programming

In this paper we study the parallel complexity of Positive Linear Programming (PLP), i.e. the special case of Linear Programming in packing/covering form where the input constraint matrix and constraint vector consist entirely of positive entries. We show that the problem of exactly solving PLP is P...

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Detalles Bibliográficos
Autores: Trevisan, Luca, Xhafa Xhafa, Fatos|||0000-0001-6569-5497
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/114140
Acceso en línea:https://hdl.handle.net/2117/114140
https://dx.doi.org/10.1142/S0129626498000511
Access Level:acceso abierto
Palabra clave:Linear programming
Parallel programming (Computer science)
Computational complexity
Parallel complexity
Fractional packing/covering linear programs
Logspace reduction
Programació lineal
Programació en paral·lel (Informàtica)
Complexitat computacional
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:In this paper we study the parallel complexity of Positive Linear Programming (PLP), i.e. the special case of Linear Programming in packing/covering form where the input constraint matrix and constraint vector consist entirely of positive entries. We show that the problem of exactly solving PLP is P-complete.