PORTA is a collection of routines for analyzing polytopes and polyhedra. The polyhedra are either given as the convex hull of a set of points plus (possibly) the convex cone of a set of vectors, or as a system of linear equations and inequalities. The name PORTA is an abbreviation for POlyhedron Representation Transformation Algorithm and points to the basic function ’traf’. This function performs a transformation from one of the two representations to the other representation. For this, ’traf’ uses a Fourier - Motzkin elimination algorithm which projects a linear system on subspaces xi = 0. This projection of a given system of linear inequalities can be done separately by using the function ’fmel’. ...

References in zbMATH (referenced in 85 articles , 1 standard article )

Showing results 1 to 20 of 85.
Sorted by year (citations)

1 2 3 4 5 next

  1. Cacchiani, Valentina; Jünger, Michael; Liers, Frauke; Lodi, Andrea; Schmidt, Daniel R.: Single-commodity robust network design with finite and hose demand sets (2016)
  2. Davis-Stober, Clintin P.; Morey, Richard D.; Gretton, Matthew; Heathcote, Andrew: Bayes factors for state-trace analysis (2016)
  3. Doignon, Jean-Paul; Rexhep, Selim: Primary facets of order polytopes (2016)
  4. Galluccio, Anna; Gentile, Claudio: The stable set polytope of icosahedral graphs (2016)
  5. Gupte, Akshay: Convex hulls of superincreasing knapsacks and lexicographic orderings (2016)
  6. Buchheim, Christoph; Traversi, Emiliano: On the separation of split inequalities for non-convex quadratic integer programming (2015)
  7. Davis-Stober, Clintin P.; Brown, Nicholas; Cavagnaro, Daniel R.: Individual differences in the algebraic structure of preferences (2015)
  8. Escalante, Mariana; Marenco, Javier; del Carmen Varaldo, María: The single-item lot-sizing polytope with continuous start-up costs and uniform production capacity (2015)
  9. Fomeni, Franklin Djeumou; Kaparis, Konstantinos; Letchford, Adam N.: Cutting planes for RLT relaxations of mixed 0-1 polynomial programs (2015)
  10. Lörwald, Stefan; Reinelt, Gerhard: PANDA: a software for polyhedral transformations (2015)
  11. Agra, Agostinho; Doostmohammadi, Mahdi: Facets for the single node fixed-charge network set with a node set-up variable (2014)
  12. Bektaş, Tolga; Gouveia, Luis: Requiem for the Miller-Tucker-Zemlin subtour elimination constraints? (2014)
  13. Chung, Kwanghun; Richard, Jean-Philippe P.; Tawarmalani, Mohit: Lifted inequalities for $0-1$ mixed-integer bilinear covering sets (2014)
  14. Galluccio, A.; Gentile, C.; Ventura, P.: The stable set polytope of claw-free graphs with stability number at least four. II. Striped graphs are $\mathcalG$-perfect (2014)
  15. Hosono, Shinobu; Takagi, Hiromichi: Mirror symmetry and projective geometry of Reye congruences. I (2014)
  16. Neto, José: On the polyhedral structure of uniform cut polytopes (2014)
  17. Theis, Dirk Oliver: On the facial structure of symmetric and graphical traveling salesman polyhedra (2014)
  18. Balof, Barry; Doignon, Jean-Paul; Fiorini, Samuel: The representation polyhedron of a semiorder. (2013)
  19. Schürmann, Achill: Exploiting symmetries in polyhedral computations (2013)
  20. van Vyve, Mathieu; Wolsey, Laurence A.: Strong and compact relaxations in the original space using a compact extended formulation (2013)

1 2 3 4 5 next