From Car Traffic to Production Flows. a Guided Tour through Solvable Stochastic Transport Processes
نویسنده
چکیده
Cauchy problem, 68adaptability, 26admissible control, 117anisotropiccollision, 67interactions, 73approach to equilibrium, 110 breakdowns of machines, 23Brownianparticle, 114motion, 103motor, BMot, 113bullwhip effect, 23busy period, 96 Cattaneo system, 104chemotaxis, 105clogging at bottlenecks, 4competition, 7complex behavior, 63cost, 41average cost criterion, 44discounted cost criterion, 44functional, 115structure, 42current-density relations, 5 diffusive re-scaling, 77dimensionless stability condition, 31discretetime sampling, 34derivation, 64feedback system, 34material flow merge, 85space-discrete hopping model, 63dissipative structures, 4dynamical phenomena, 4dynamicscollective dynamics, 63control free dynamics, 116cooperative dynamics, 22crowd dynamics, 8stochastic dynamics, 72 efficiency measure, 113motor efficiency, ME, 113equationBoltzmann-like equation, 63Burgers, 72Chapman-Kolmogorov, C-K, 42continuity equation, 77dynamic programming equation, 45fluid-dynamic equations, 64Fokker-Planck equation, 103, 116Hamilton-Jacobi-Bellmann, 41hyperbolic, 104Kolmogorov forward equations, 65Langevin, 103, 114, 117Master equation, 79parabolic, 103Pollaczek-Kinchine, 92Smoluchowski diffusion, 108stochastic diff. equation, 78, 116Takàcs integral equation , 94telegraphist equation, 76external load, 113
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