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Full-Text Articles in Business
Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai
Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai
Research Collection Lee Kong Chian School Of Business
We investigate the statistical parity of a class of chaos-generated noises on the escape of strongly damped particles out of a potential well. We show that statistical asymmetry in the chaotic fluctuations can lead to a skewed Maxwell–Boltzmann distribution in the well. Depending on the direction of skew, the Kramers escape rate is enhanced or suppressed accordingly. Based on the Perron–Frobenious equation, we determine an analytical expression for the escape rate’s prefactor that accounts for this effect. Furthermore, our perturbative analysis proves that in the zeroth-order limit, the rate of particle escape converges to the Kramers rate.
Solving Hierarchical Constraints Over Finite Domains With Local Search, Martin Henz, Roland H.C. Yap, Yun Fong Lim, Seet Chong Lua, J. Paul Walser, Xiao Ping Shi
Solving Hierarchical Constraints Over Finite Domains With Local Search, Martin Henz, Roland H.C. Yap, Yun Fong Lim, Seet Chong Lua, J. Paul Walser, Xiao Ping Shi
Research Collection Lee Kong Chian School Of Business
Many real world problems have requirements and constraints which conflict with each other. One approach for dealing with such over-constrained problems is with constraint hierarchies. In the constraint hierarchy framework, constraints are classified into ranks, and appropriate solutions are selected using a comparator which takes into account the constraints and their ranks. In this paper, we present a local search solution to solving hierarchical constraint problems over finite domains (HCPs). This is an extension of local search for over-constrained integer programs WSAT(OIP) to constraint hierarchies and general finite domain constraints.The motivation for this work arose from solving large airport gate …