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论文类型： 会议论文

发表时间： 2007-05-27

收录刊物： EI、CPCI-S

卷号： 4489

期号： PART 3

页面范围： 293-+

关键字： black and white traveling salesman problem; linear programming; Gavish-Grave LP

摘要： The black and white traveling salesman problem (BWTSP) is a new class of NP-hard problem arising from work on airline scheduling and telecommunication fiber networks. The existing Ghiani LP for the undirected BWTSP contains an exponential number of constraints. For a special case of the directed BWTSP whose L = +infinity, the LP with polynomial number of constraints could be obtained by transforming it to an asymmetric traveling salesman problem with replenishment arcs (RATSP), whereas there exists no LP for the directed BWTSP in its general form. This paper proposes a LP with 3n(2) +2n constraints only for the directed BWTSP in such a way that, by reducing the problem to an asymmetric traveling salesman problem (ATSP), we add n(2) cardinality constraints and n(2) length constraints to the existing Gavish-Grave LP for the ATSP. The new LP is also valid for the undirected BWTSP when viewed as a special case of the directed BWTSP.