Local area networks (LANs) form the basis for worldwide data communication, and, during the last years, performance and size of these networks has been continuously increasing. Inevitably, the configuration of these networks became an important and sophisticated job. This paper presents solutions for the cable management problem, which is a central part of the network configuration process. Amo...

In theory, combinatorial auctions can provide significant benefits in many real-world applications, such as truckload procurement. In practice, however, the use of such auctions has been greatly limited by the need for bidders to bid on an exponential number of bundles and for the auctioneer to solve an exponentially large winner-determination problem. We address these challenges for VCG combin...

In this paper we use interior-point methods for linear programming, developed in t,he contest of sequential computation, to obtain a parallel algorithm for t,he bipartite matching problem. Our algorithm runs in 0*(,/E) time I. Our results extend to the weighted bipartite matching problem and to the zero-one minimum-cost flow problem, yielding O*( filog C’) algorithms?. This improvk’previous bou...

This paper deals with the assignment of a type of task to each member of a multi-function staff (each worker is able to perform a given subset of types of tasks, possibly with a priority index associated to each element of the subset). The resulting number of workers for each type of task must be not less than a given lower bound and as close as possible to another given value. The objectives a...

3 Minimum cost network flow problem 5 3.1 Transportation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The maximum flow problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 The shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.4 The single source shortest paths . . . . . . . . . . . . . . . . ...

3 Minimum cost network flow problem 5 3.1 Transportation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The maximum flow problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 The shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.4 The single source shortest paths . . . . . . . . . . . . . . . . ...

An effective means to reduce the inefficiency of Nash flows in nonatomic network routing games is to impose tolls on the arcs of the network. It is a well-known fact that marginal cost tolls induce a Nash flow that corresponds to a minimum cost flow. However, despite their effectiveness, marginal cost tolls suffer from two major drawbacks, namely (i) that potentially every arc of the network is...

This paper addresses a large-scale power plant maintenance scheduling and production planning problem, which has been proposed by the ROADEF/EURO Challenge 2010. We develop two lower bounds for the problem: a greedy heuristic and a flow network for which a minimum cost flow problem has to be solved. Furthermore, we present a solution approach that combines a constraint programming formulation o...

Effective planning of a transportation network influences tactical and operational activities and has a great impact on business. Planning typically considers multiple aspects such as variable transportation costs, various levels of customer service offered, security of goods, and traveling time. These aspects often vary with time. Although the minimum cost flow problem is a widely seen approac...

It is shown that an acyclic multigraph with a single source and a single sink is series-parallel if and only if for arbitrary linear cost functions and arbitrary capacities the corresponding minimum cost flow problem can be solved by a greedy algorithm. Furthermore, for networks of this type with m edges and n vertices, two O(mn + m log m)-algorithms are presented. One of them is based on the g...