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Thu, 07 Dec 2006 18:03:36 +0200Thu, 07 Dec 2006 18:03:36 +0200Semi-Simultaneous Flows and Binary Constrained (Integer) Linear Programs
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1753
Linear and integer programs are considered whose coefficient matrices can be partitioned into K consecutive ones matrices. Mimicking the special case of K=1 which is well-known to be equivalent to a network flow problem we show that these programs can be transformed to a generalized network flow problem which we call semi-simultaneous (se-sim) network flow problem. Feasibility conditions for se-sim flows are established and methods for finding initial feasible se-sim flows are derived. Optimal se-sim flows are characterized by a generalization of the negative cycle theorem for the minimum cost flow problem. The issue of improving a given flow is addressed both from a theoretical and practical point of view. The paper concludes with a summary and some suggestions for possible future work in this area.Alexander Engau; Horst W. Hamacherpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1753Wed, 12 Jul 2006 18:03:36 +0200