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This paper shows that a minimization version of satisfiability is strongly NP-hard, even if each clause contains no more than two literals and/or each clause contains at most one unnegated variable. The worst-case and average-case performances of greedy and probabilistic greedy heuristics for the problem are examined, and tight upper bounds on the… (More)

We extend a model by Bollapragada and Garbiras (2004) for scheduling commercial advertisements during breaks in television programming. The proposed extension allows differential weighting of conflicts between pairs of commercials. We formulate the problem as a capacitated generalization of the max k-cut problem in which the vertices of a graph correspond… (More)

This paper derives a lower bound on the average performance of a total-value greedy heuristic for the integer knapsack problem. This heuristic selects items in order of their maximum possible contribution to the solution value at each stage. We show that, as for the worst-case bound, the average performance bound for the total-value heuristic dominates the… (More)

The objective of this study was to distinguish within a population of patients with and without breast cancer. The study was based on the University of Wisconsin's dataset of 569 patients, of whom 212 were subsequently found to have breast cancer. A subset-conjunctive model, which is related to Logical Analysis of Data, is described to distinguish between… (More)