Clustering for faster network simplex pivots
نویسندگان
چکیده
منابع مشابه
A network simplex algorithm with O(n) consecutive degenerate pivots
In this paper, we suggest a new pivot rule for the primal simplex algorithm for the minimum cost flow problem, known as the network simplex algorithm. Due to degeneracy, cycling may occur in the network simplex algorithm. By maintaining strongly feasible bases due to Cunningham [1976, 1979], cycling can be prevented but without restrictions on the entering variable, the algorithm can still perf...
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We present a faster implementation of the polynomial time primal simplex algorithm due to Orlin [23]. His algorithm requires O(nm min{log(nC), m log n}) pivots and O(n m · min{log nC, m log n}) time. The bottleneck operations in his algorithm are performing the relabeling operations on nodes, selecting entering arcs for pivots, and performing the pivots. We show how to speed up these operations...
متن کاملA new network simplex algorithm to reduce consecutive degenerate pivots and prevent stalling
It is well known that in operations research, degeneracy can cause a cycle in a network simplex algorithm which can be prevented by maintaining strong feasible bases in each pivot. Also, in a network consists of n arcs and m nodes, not considering any new conditions on the entering variable, the upper bound of consecutive degenerate pivots is equal $left( begin{array}{c} n...
متن کاملa new network simplex algorithm to reduce consecutive degenerate pivots and prevent stalling
it is well known that in operations research, degeneracy can cause a cycle in a network simplex algorithm which can be prevented by maintaining strong feasible bases in each pivot. also, in a network consists of n arcs and m nodes, not considering any new conditions on the entering variable, the upper bound of consecutive degenerate pivots is equal $left( begin{array}{c} n...
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The paper presents an approach for avoiding and minimizing the complementary pivots in a simplex based solution method for a quadratic programming problem. The linearization of the problem is slightly changed so that the simplex or interior point methods can solve with full speed. This is a big advantage as a complementary pivot algorithm will take roughly eight times as longer time to solve a ...
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ژورنال
عنوان ژورنال: Networks
سال: 2000
ISSN: 0028-3045,1097-0037
DOI: 10.1002/(sici)1097-0037(200005)35:3<173::aid-net1>3.0.co;2-w