By Giorgio Ausiello, Stefano Leonardi, Alberto Marchetti-Spaccamela (auth.), Giancarlo Bongiovanni, Rossella Petreschi, Giorgio Gambosi (eds.)
The papers during this quantity have been offered on the Fourth Italian convention on Algorithms and Complexity (CIAC 2000). The convention came about on March 1-3, 2000, in Rome (Italy), on the convention middle of the college of Rome \La Sapienza". This convention used to be born in 1990 as a countrywide assembly to be held each 3 years for Italian researchers in algorithms, info constructions, complexity, and parallel and dispensed computing. as a result of a signi cant participation of overseas reaserchers, ranging from the second one convention, CIAC advanced into a global convention. according to the decision for papers for CIAC 2000, there have been forty-one subm- sions, from which this system committee chosen 21 papers for presentation on the convention. each one paper used to be evaluated through at the very least 3 software committee individuals. as well as the chosen papers, the organizing committee invited Giorgio Ausiello, Narsingh Deo, Walter Ruzzo, and Shmuel Zaks to provide plenary lectures on the convention. we want to show our appreciation to all of the authors of the submitted papers, to this system committee individuals and the referees, to the organizing committee, and to the plenary academics who authorised our invitation.
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Additional resources for Algorithms and Complexity: 4th Italian Conference, CIAC 2000 Rome, Italy, March 1–3, 2000 Proceedings
This paper surveys results from various papers. In Section 2 the ATM model is presented, following [CGZ94]. In Section 3 we discuss the optimal solutions; the optimal design for the shortest path case follows the discussion in [GWZ95], and the optimal design for the general case follows the discussion in [DFZ97, F98]. We encounter the duality of the parameters of load and hop count, which 46 Shmuel Zaks follows via recurrence relations. In Section 4 we describe the use of binary and ternary trees to shed more direct light on these duality results; this follows [DFZ97, F98].
For a problem size of 18, the 300 random starts of heuristic search took about 1 second. 2N . At this rate, problems of size 30 would be solvable in a few minutes and problems of size 50 in under an hour. However, note that 300 random starts is a very arbitrary choice. In most trials (> 90%), the method finds the globally optimal solution within 10 random starts. In a few “hard core” cases, however, it can take several thousand starts to find the global. Unfortunately, of course, using heuristic search alone, one cannot tell when the globally optimal solution has been reached.
Choose a random ordering π; set up the linear system corresponding to that ordering; solve it; if the resulting order π is equal to π, record that as a potential minimum; if π = π, replace π by π and return to step 2. Finally, we repeat this entire process for many random initial orderings, and report the lowest cost solution found. In different tests, we either did a fixed number of random starts, usually 300, or repeated until the known optimal solution was found. One nice feature of the matrix formulation is that M is independent of the ordering of the probes.
Algorithms and Complexity: 4th Italian Conference, CIAC 2000 Rome, Italy, March 1–3, 2000 Proceedings by Giorgio Ausiello, Stefano Leonardi, Alberto Marchetti-Spaccamela (auth.), Giancarlo Bongiovanni, Rossella Petreschi, Giorgio Gambosi (eds.)