Proceedings of 12th IFIP Conference, Budapest, Hungary, September 2–6, 1985
For optimized, multi-level process control system mathematical model of PVC powder blending process in high speed mixers was developed. For mathematical modelling of PVC powder blending process basic parameters of elementary processes were determined. On base of process analysis and data collection from PVC powder blending process in industrial high speed mixers with help of microcomputer determined...
This paper introduces on application of linear programming to power system long-term generation expansion planning. A mathematical determinstic LP model is proposed and implemented to determine the optimum mix generation for such systems for a long-term plan. The model objective is to justify the construction of group of plants of particular types and sizes at certain locations which are committed...
Let x and y be two nodes being not connected by an edge in an undirected connected non-complete graph. We present here an algorithm which finds a minimum cut-set of the graph by which x and y are separated.
In this paper the authors are concerned with a network design problem arising in the layout of a remote heating network. The problem can be modeled by a graph whose vertices represent the energy source, the demand points and the intermediate nodes and whose edges represent the possible pipe connections. Among the different arborescences rooted at the source and spanning all demand nodes and among...
This paper considers the activity of loading and unloading cargo and passenger luggage to/from aircraft in order to determine the minimum necessary number of workers and the number and beginning time of shifts needed to serve a set of aircraft which request loading and unloading within a specific time period. Constraints which appear include that loading/unloading has to start at a predetermined time,...
An adaptive control scheme, effective when the controlled plant, supposed linear, has a transfer function with non hurwitzian numerator is presented. The solution to the problems involved is foreseen by means of the variable structure system theory and of the equivalence between Filippov's solution concept with a.e. solution of ordinary differential equation which, as it is well known, has been proved...
We have developed a synthesis procedure for the design of an optimal throughput in packet communication networks. The initial data for the synthesis are a structure of the network, a probabilistic workload model and approximate real delay time values in the network. On the basis of the developed procedure we are able to design an optimal delay time in network nodes using the derived formulae. This...
Aspects of optimal power system control (structures, tasks etc.) are discussed in general and in the application for the new network control system of the Viennese Electricity Board (WSE), with the main emphasis on the district control centres. The problems which arise from information overload due to enormous data collection and sophisticated on-line applications are shown and the steps undertaken...
In this paper we present mathematical programming models for the problem of estimating a trip matrix from network data. The models presented are based on the results of Nguyen (1977) who has shown that trip matrices that reproduces observed linkflows in a congested network can be obtained by solving an elastic demand traffic assignment problem with a specific linear demand function. It can...
We consider optimal control of a population with continuous age and time structure. We prove that an optimal control exists, give the necessary optimality conditions, and derive some consequences.
Methods of the secant type for solving systems of nonlinear equations are considered. They are stable in contrast to the traditional secant method with respect to linear dependence of the search directions. A short survey of some variants of the secant method, that use quasi-Newton formulas to provide stability, is given. Some parallel algorithms are constructed on the basis of the stable secant approximations.
Recent developments for linear and quadratic assignment problems are surveyed. In particular some new efficient solution techniques are outlined and a recent application concerning the assignment of time-slots in a time division multiple access system is described. Finally assignment problems are used to solve a problem in channel routing.
We study the numerical resolution of the 3D stationnary Euler equation, in the unit cube with periodic boundary conditions. A formulation of the problem as distributed parameters optimal control problem is first given. This problem is discretized by the Finite Elements Method and solved by conjugate gradient algorithms. In order to set rid of a quadratic state construit several different formulations...
For finite-dimensional systems the class of balanced realisations is defined as that whose controllability and observability gramians are both equal to the same positive diagonal matrix. The diagonal entries are in fact the singular values of the Hankel operator of the system and contain essential information about its behaviour. Balanced realisations have special structural properties and their truncations...