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- JAMES B. ORLIN
- 1988

In this paper, we present a new strongly polynomial time algorithm for the minimum cost flow problem, based on a refinement of the Edmonds-Karp scaling technique. Our algorithm solves the uncapacitated minimum cost flow problem as a sequence of O(n log n) shortest path problems on networks with n nodes and m arcs and runs in O(n log n (m + n log n)) time.… (More)

We give evidence that Single Tranferable Vote (STV) is computation-ally resistant to manipulation: It is NP-complete to determine whether there exists a (possibly insincere) preference that will elect a favored candidate , even in an election for a single seat. Thus strategic voting under STV is qualitatively more difficult than under other commonly-used… (More)

In this paper, we consider an integer convex optimization problem where the objective function is the sum of separable convex functions (that is, of the form Σ (i,j)∈Q ij ij F (w) + Σ i∈P i i B () µ), the constraints are similar to those arising in the dual of a minimum cost flow problem (that is, of the form µ i-µ j ≤ w ij , (i, j) ∈ Q), with lower and… (More)

In this paper, we study inverse optimization problems defined as follows. Let S denote the set of feasible solutions of an optimization problem P, let c be a specified cost vector, and x 0 be a given feasible solution. The solution x 0 may or may not be an optimal solution of P with respect to the cost vector c. The inverse optimization problem is to… (More)

Let G = (N, A) be a network with a designated source node s, a designated sink node t, and a finite integral capacity uij < U on each arc (ij) E A. An elementary K-flow is a flow of K units from s to t such that the flow on each arc is 0 or 1. A K-route flow is a flow from s to t that may be expressed as a non-negative linear sum of elementary K-flows. In… (More)

- T J Hudson, L D Stein, S S Gerety, J Ma, A B Castle, J Silva +45 others
- Science
- 1995

A physical map has been constructed of the human genome containing 15,086 sequence-tagged sites (STSs), with an average spacing of 199 kilobases. The project involved assembly of a radiation hybrid map of the human genome containing 6193 loci and incorporated a genetic linkage map of the human genome containing 5264 loci. This information was combined with… (More)

Efficient implementations of Dijkstra's shortest path algorithm are investigated. A new data structure, called the <italic>radix heap</italic>, is proposed for use in this algorithm. On a network with <italic>n</italic> vertices, <italic>m</italic> edges, and nonnegative integer arc costs bounded by <italic>C</italic>, a one-level form of radix heap gives a… (More)

In this paper we suggest new scaling algorithms for the assignment and minimum mean cycle problems. Our assignment algorithm is based on applying scaling to a hybrid version of the recent auction algorithm of Bertsekas and the successive shortest path algorithm. The algorithm proceeds by relaxing the optimality conditions, and the amount of relaxation is… (More)