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    Pravin Varaiya

    The algorithm presented identifies bottleneck locations, the times for which each bottleneck is active, and the delay they cause. The bottlenecks are ranked in terms of their frequency of recurrence and the magnitude of their delay... more
    The algorithm presented identifies bottleneck locations, the times for which each bottleneck is active, and the delay they cause. The bottlenecks are ranked in terms of their frequency of recurrence and the magnitude of their delay impact. The algorithm works with 5-min loop detector data. It uses speed difference as an indicator of bottleneck activation. The algorithm is applied to 3 months of data from 270 mi of seven freeways in San Diego. It identifies 160 locations whose bottlenecks cause 64% of the total delay on these freeways. The top 10 account for 61% of the delay from all bottlenecks. The method can be used in any area in which large amounts of data are available. Transportation authorities may use it to identify bottlenecks and to track their impact over time.
    ... 9. No. 3, August 1994 A BCU Method for Direct Analysis of Power System Transient Stability ... Applying these results to power system transient stability analysis, we have provided a theoretical foundation for the direct methods in... more
    ... 9. No. 3, August 1994 A BCU Method for Direct Analysis of Power System Transient Stability ... Applying these results to power system transient stability analysis, we have provided a theoretical foundation for the direct methods in [14] and for the PEBS method in [31]. ...
    Page 1. WP4-1 OPTIMAL CONTROL OF MARKOVIAN JUMP PROCESSES &ne Boel and Pravin Varaiya Department ... probabilities. with which the process jumps in the interval [t, t+dt] and what state in jumps to, given the history xs, s 2 t... more
    Page 1. WP4-1 OPTIMAL CONTROL OF MARKOVIAN JUMP PROCESSES &ne Boel and Pravin Varaiya Department ... probabilities. with which the process jumps in the interval [t, t+dt] and what state in jumps to, given the history xs, s 2 t ie, U ...
    The paper is a contribution to the theory of martingales of processes whose sample paths are piecewise constant and have finitely many discontinuities in a finite time interval. The assumption is made that the jump times of the underlying... more
    The paper is a contribution to the theory of martingales of processes whose sample paths are piecewise constant and have finitely many discontinuities in a finite time interval. The assumption is made that the jump times of the underlying process are totally inaccessible and ...
    ... Laboratory, Massachusetts Institute of Technology, Cambridge, MA N. R. Sandell, Jr., and M.Athans are with ... computation and simplification of struc-ture are of particular concern in decentralized control of large scale systems, but... more
    ... Laboratory, Massachusetts Institute of Technology, Cambridge, MA N. R. Sandell, Jr., and M.Athans are with ... computation and simplification of struc-ture are of particular concern in decentralized control of large scale systems, but are also of concern in almost all areas of control ...
    ... References. JOURNAL OF ECONOMIC THEORY 6, 162179 (1973) Effects of Congestion on the Shape of a City* L. LEGEY', M. RIPPER, AND P ... (19) 168 LEGEY, RIPPER, AND VARAIYA The analysis is considerably simpler in the saturated... more
    ... References. JOURNAL OF ECONOMIC THEORY 6, 162179 (1973) Effects of Congestion on the Shape of a City* L. LEGEY', M. RIPPER, AND P ... (19) 168 LEGEY, RIPPER, AND VARAIYA The analysis is considerably simpler in the saturated region. We must have AT(t) B(ut). ...
    The paper presents some asymptotic properties of the trajectories of an interconnected power system. Generators are described by their swing equations, loads are treated as PV buses. It is shown... more
    The paper presents some asymptotic properties of the trajectories of an interconnected power system. Generators are described by their swing equations, loads are treated as PV buses. It is shown that' oscillations can never occur. Moreover, for small levels of injected power, all trajectories converge.
    Page 1. WP4-1 OPTIMAL CONTROL OF MARKOVIAN JUMP PROCESSES &ne Boel and Pravin Varaiya Department ... probabilities. with which the process jumps in the interval [t, t+dt] and what state in jumps to, given the history xs, s 2 t... more
    Page 1. WP4-1 OPTIMAL CONTROL OF MARKOVIAN JUMP PROCESSES &ne Boel and Pravin Varaiya Department ... probabilities. with which the process jumps in the interval [t, t+dt] and what state in jumps to, given the history xs, s 2 t ie, U ...