Compositional reasoning aims to improve scalability of verification tools by reducing the original verification task into subproblems. The simplification is typically based on the assume-guarantee reasoning principles, and requires decomposing the system into components as well as identifying adequate environment assumptions for components. One recent approach to automatic derivation of adequat...

While a great portion of the scheduling literature focuses on time-based criteria, the most important goal of management is maximizing the profitability of the firm. In this paper, the net preset value criterion is studied taking account of linear time-dependent cash flows in single machine and flow shop scheduling problems. First, a heuristic method is presented for the single machine scheduli...

In constraint satisfaction, local search is an incomplete method for finding a solution to a problem. Solving a general constraint satisfaction problem (CSP) is known to be NP-complete; so that heuristic techniques are usually used. The main contribution of this work is twofold: (i) a technique for de-composing a CSP into a DFS-tree CSP structure; (ii) an heuristic search technique for solving ...

In this paper, a general scheme for generating extra cuts during the execution of a Benders decomposition algorithm is presented. These cuts are based on feasible and infeasible master problem solutions generated by means of a heuristic. This article includes general guidelines and a case study with a fixed charge network design problem. Computational tests with instances of this problem show t...

In this paper, a general scheme for generating extra cuts during the execution of a Benders decomposition algorithm is presented. These cuts are based on feasible and infeasible master problem solutions generated by means of a heuristic. This article includes general guidelines and a case study with a fixed charge network design problem. Computational tests with instances of this problem show t...

Allocation Berthe Y. Choueiry1 and Boi Faltings2 Abstract. The allocation of resources to a set of tasks with xed start and end times is known to be NP-complete. We propose an approximation based on identifying pools of interchangeable resources and tasks using a novel decomposition heuristic. The pools are abstractions which provide simple representations for making con icts explicit. The meth...

We present an algorithm for optimal step-and-shoot intensity modulated radiation therapy minimizing tongue-and-groove effects. Adapting the concepts of [7] we characterize the minimal decomposition time as the maximal weight of a path in a properly constructed weighted digraph. We also show that this decomposition time can be realized by a unidirectional plan, thus proving that the algorithm of...

A function is reversible if each input vector produces a unique output vector. Reversible functions find many applications, especially in low power design, quantum computing, optical computing, and nanotechnology. Logic synthesis for reversible circuits differs substantially from traditional logic synthesis and is an active field of research at the moment. In this paper, we present the first pr...