The DT-Polynomial Approach to Discrete Time-Varying Network Flow Problems

This paper introduces a polynomial operator called the DT-polynomial as a novel approach to network flow problems. The class of networks dealt with is time-varying in the sense that the capacity, cost, and travel-time of each edge may vary in discrete time. The Dt-polynomial is a polynomial in two operators, D (delay) and T (time), which is used for describing the time-varying transmission characteristics. The paper starts with the mathematics involving the DT-polynomials. A new shortest arrival route algorithm is presented, and its computational complexity is found to be favorable in comparison with others such as Dijkstra's method and the potential method derived from Ford-Fulkerson's technique. Furthermore, a dynamic flow problem is formulated and analyzed in terms of DT-polynomials, and a latest-departure earliest-arrival schedule is given. Finally, a modified DT-polynomial is applied to digital filter networks.     

Stability analysis of nonlinear control systems with characteristics equations having complex coefficients

In this paper, the stability equation method is applied to the analysis of nonlinear systems with characteristics equations having complex coefficients. Three types of systems are studied: those with unstable open-loop poles, unstable characteristics roots or an equal number of open-loop poles and zeros.     

PPBS in higher education planning and management: Part II,the university of California experience

Part I provided an overview of PPBS, some discussion of PPBS implementation in the U.S. government, and a review of the arguments for adopting PPBS in postsecondary education and the various kinds of work that have been done toward this end. In part II, we discuss the experience of the University of California with PPBS from 1966 to 1971. Part III, to be published subsequently, will suggest some new departures in model construction and policy analysis which we believe represent a useful spirit in which further development can and should occur, and will also contain some general concluding observations.

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Résumé Dans la première partie, publiée antérieurement, on trouvait les principes généraux du PPBS (Program Planning Budgeting Systems) une discussion rapide de la mise en oeuvre du PPBS par les autorités gouvernementals aux Etats-Unis, quelques uns des arguments qui militent en faveur de l'adoption du PPBS dans l'enseignement post-secondaire ainsi que ce qui a été entrepris à cette fin. Dans la deuxième partie, nous soumettons à la discussion ce qu'a été l'expérience de l'Université de Californie en matière de PPBS de 1966 à 1971. La troisième partie, qui sera publiée ensuite, proposera quelques points de départ nouveaux pour la construction du modèle directeur et l'analyse des politiques; nous pensons qui'il s'agit là d'un point de vue utilisable qui peut et devrait donner lieu à de nouveaux développements; cette troisième partie présentera aussi quelques observations générales en forme de conclusion.