Accession Number : ADA139667

Title :   Solving Generalized Networks.

Descriptive Note : Technical rept.,


Personal Author(s) : Brown,G G ; McBride,R D

PDF Url : ADA139667

Report Date : Mar 1982

Pagination or Media Count : 69

Abstract : A complete, unified description is given of the design, implementation and use of a family of very fast and efficient large scale minimum-cost (primal simplex) network programs. The class of capacitated generalized transshipment problems solved includes the capacitated and uncapacitated generalized transportation problems and the continuous generalized assignment problem, as well as the pure network flow models which are specializations of these problems. These formulations are used for a large number of diverse applications to determine how (or at what rate) flows through the arcs of a network can minimize total shipment costs. A generalized network problem can also be viewed as a linear program with at most two non-zero entries in each column of the constraint matrix; this property is exploited in the mathematical presentation with special emphasis on data structures for basis representation, basis manipulation, and pricing mechanisms. A literature review accompanies computational testing of a promising ideas, and extensive experimentation is reported which has produced GENNET, an extremely efficient family of generalized network systems. (Author)

Descriptors :   *Mathematical models, *Network analysis(Management), *Problem solving, *Shipping, Transportation, Flow, Low costs, Linear programming, Optimization, Cost analysis, Fortran

Subject Categories : Administration and Management
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE