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The Scaling Network Simplex Algorithm
Operations Research, 1992In this paper, we present a new primal simplex pivot rule and analyze the worst case complexity of the resulting simplex algorithm for the minimum cost flow, the assignment, and the shortest path problems. We consider networks with n nodes, m arcs, integral arc capacities bounded by an integer number U, and integral arc costs whose magnitudes are ...
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A dynamic version for the Network Simplex Algorithm
Applied Soft Computing Journal, 2014We present a dynamic version for the Network Simplex Algorithm, which is called Dynamic Network Simplex Algorithm (DNSA).The overall approach of DNSA is to update the graph model dynamically and repair its spanning tree.To test the algorithm and its performance, an application of Automated Guided Vehicles in container terminals is used.The results show
Hassan Rashidi
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A new strongly polynomial dual network simplex algorithm
Mathematical Programming, 1997This paper presents a new dual network simplex algorithm for the minimum cost network flow problem. The algorithm works directly on the original capacitated network and runs in O(mn(m + n log n) log n) time for the network with n nodes and m arcs. This complexity is better than the complexity of Orlin, Plotkin and Tardos' (1993) dual network simplex ...
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A Hypergraph Network Simplex Algorithm
Operations Research Proceedings: Papers of the Annual Meeting = Vorträge Der Jahrestagung / DGOR, 2018We describe a network simplex algorithm for the minimum cost flow problem on graph-based hypergraphs which are directed hypergraphs of a particular form occurring in railway rotation planning. The algorithm is based on work of Cambini, Gallo, and Scutella who developed a hypergraphic generalization of the network simplex algorithm, see Cambini et al ...
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Network simplex algorithm for the general equal flow problem
European Journal of Operational Research, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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