
Accession Number : ADA192727
Title : Finding MinimumCost Circulations by Canceling Negative Cycles.
Descriptive Note : Technical rept.,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR COMPUTER SCIENCE
Personal Author(s) : Goldberg, Andrew V ; Tarjan, Robert E
PDF Url : ADA192727
Report Date : Jul 1987
Pagination or Media Count : 20
Abstract : A classical algorithm for finding a minimum cost circulation consists of repeatedly finding a residual cycle of negative cost and canceling it by pushing enough flow around the cycle to saturate an arc. We show that a judicious choice of cycles for canceling leads to a polynomial bound on the number of iterations in this algorithm. This gives a very simple strongly polynomial algorithm that uses no scaling. A variant of the algorithm that uses dynamic trees runs in 0(nm(log n)min(log(nC), mlogn)) time on a network of n vertices, m arcs, and arc costs of maximum absolute value C. This bound is comparable to those of the fastest previously known algorithms. Keywords: Network flows, Minimum cost flow, Combinatorial optimization.
Descriptors : *ALGORITHMS, *NETWORK FLOWS, *LOW COSTS, CIRCULATION, COMBINATORIAL ANALYSIS, COSTS, CYCLES, DYNAMICS, FLOW, OPTIMIZATION, POLYNOMIALS, RESIDUALS, TREES, VARIATIONS, ITERATIONS
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE