By Perry MacNeille, Oleg Gusikhin, Mark Jennings, Ciro Soto, Sujith Rapolu (auth.), Nuno Pina, Janusz Kacprzyk, Joaquim Filipe (eds.)

The current ebook contains prolonged and revised types of a collection of chosen papers from the first overseas convention on Simulation and Modeling Methodologies, applied sciences and purposes (SIMULTECH 2011) which used to be backed by way of the Institute for structures and applied sciences of data, regulate and communique (INSTICC) and held in Noordwijkerhout, The Netherlands.

SIMULTECH 2011 used to be technically co-sponsored via the Society for Modeling & Simulation overseas (SCS), GDR I3, Lionphant Simulation and Simulation staff and held in cooperation with ACM detailed curiosity crew on Simulation and Modeling (ACM SIGSIM) and the AIS specific curiosity staff of Modeling and Simulation (AIS SIGMAS).

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Additional info for Simulation and Modeling Methodologies, Technologies and Applications: International Conference, SIMULTECH 2011 Noordwijkerhout, The Netherlands, July 29-31, 2011 Revised Selected Papers

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2 Properties of a Stability Box A job permutation in the set S with a larger dimension and a larger volume of the stability box seems to be more efficient than one with a smaller dimension and (or) a smaller volume of stability box. We investigate properties of a stability box, which allow us to derive an O(n log n) algorithm for choosing a permutation πt ∈ S which has (a) the largest dimension |Nt | of the stability box SB(πt , T ) = ×ti ∈Nt [lti , uti ] ⊆ T among all permutations πk ∈ S and Stability Box for Scheduling under Uncertain Data 45 (b) the largest volume of the stability box SB(πt , T ) among all permutations πk ∈ S having the largest dimension |Nk | = |Nt | of their stability boxes SB(πk , T ).

Vehicle C1 will collide if and only if the distance to C0 is less than the distance that it needs to stop, Ds , so its collision probability is given by: p1 = 1 − −L−Ds −∞ f (x; μ1 , σ) dx , (1) where L is the average vehicle length and f (x; μ, σ) is the probability density function of the normal distribution with mean μ and standard deviation σ. To compute the collision probability of the second vehicle we will use the average position of the first vehicle when it has stopped (either by collision or successfully stop).

Garc´ıa-Costa et al. Algorithm 1. Computation of the number of collisions in a chain of vehicles. for all comb in Combinations do for all d in RangeOf Distances do for i = 1 to N do pi = f (pi−1 , comb, d, i, veloc, reactT ime) end for for j = 0 to N do − j) Πj = P N (1, (N+1)(N+2) 2 end for N Nacc = j · Πj j=0 end for end for Table 2. Resulting programs with different parallelized tasks. X means that the corresponding parallelization takes place. Program Program 1 Program 2 Program 3 Program 4 Program 5 Program 6 Program 7 Program 8 A B C × × × × × × × × × × × × For the sake of clarity, we will parallelize the following tasks: – A: Vector-Matrix multiplication.

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