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With some recently developed software, operators and planners can simulate chronologically the hourly commitment and dispatch of a power supply system. This allows them to see if the system is physically capable of supplying the expected load and to estimate the cost of production. Dispatch simulation based on load duration curves is simpler and quicker than chronological simulation, however these...
In this paper we cosider a constrained version of a modification of the Curry-Altman step-size algorithm. This modification of the Curry-Altman algorithm (see
The optimal start-up and regulation of a cascade reactor for ethanol fermentation is faced. By reducing the dimension of the model and based on the phase-plane analysis, the conditions ensuring the asymptotic stability of the system are stated. They are determined by the overall specific dilution rate and the initial conditions. The hamiltonian formulation of minimum-time start-up and regulation of...
The paper deals with the two-level partially stochastic optimization method named evolutionary method. The aim of the paper is to present a formal description of the method and its application in discrete programming. The algorithm for planning of investments in chemical industry, based on the method, has been presented.
A general method is not currently available to forecast the uncertain future of complex systems. The discussed model is partly based on judgmental data and is thus inevitably subjective. However, we believe that the flexibly combined methods are useful to accomplish the various aspects of problems of environmental systems. Although there are still difficulties and limitations to this type of analysis,...
This paper gives a short review of different theories and topics in the fields of Mathematical Programming and Discrete-time Optimal control Theory. Well-known and new results (for instance, the generalized Maximum Principle) are presented within a unified framework. Emphasis is placed in the trends of interplay. New research areas are also identified.
Arrow studies a model of exploration of non renewable natural resources, in continuous time (see |4|), where, the quantity of resources, to be found is a random variable. In our model there is a T planning period to go. If society consumes, in oen period, an amount c of non renewable resource, it receives a utility u(c). New resources can be found through exploration, α reflecting the...
Optimization of complex developing transport networks is considered. For a deterministic dynamic problem a three-stage approach with iteration recounting is used. The dialogue system of optimization is realized by EC-computers. For a stochastic case an additional qualitative analysis is made. The conditions for the initial stochastic data are given to guarantee the convexity of constraints.
Problems of simulation of systems from molecular level up to ecosystem of lake are considered. The way of modelling the immune system as a distributed one is proposed. The attempt of modelling complex processes of sepsis and rejection in kidney transplantation is carried out. The ecosystem of lake-cooler of nuclear station is modelled with a help of submodel system. Examples of numeral solution of...
The modelling of stochastic distributed parameter systems has a great importance in chemical engineering from the viewpoint of fault detection, measurement device placing and control. In the following paper an integral equation has been chosen for the stochastic model of a one-dimensional chemical system in transient state. The source of the fluctuations is assumed to be a steady-state process with...
This report describes the optimization of large scale MIP models to plan economically the operation of energy systems. A number of measures were implemented to accelerate the optimization procedures included in the program package "Energy Management System". This program package is designed to economically plan the operation of any single and combined energy system (electric power system;...
Undue upper harmonics or aperiodical voltage distortions in industrial power systems should be avoided in order to reach an undisturbed operation of electronical equipment. On principle the interaction of power converters, power compensation equipment, filter circuits and low voltage electronical equipment should be taken into account already in case of planning and studied by means of transient...
OR ELIA is a tool for the long-term scheduling of the electric energy power system. It seeks the localization of new means of generation and network reinforcements which, when carried out, will result in the lowest investment and operating cost. The random factors liable to affect the system, are taken into account. In order to solve the stochastic optimization problem, two methods are used...
One-machines scheduling problems with maximum lateness and maximum tardiness criteria are generalized on the case with allocation of continuously-divisible constrained nonrenewable resource. Models of operation are assumed to be duration versus resource amount linear functions. For the problems with maximum lateness and the maximum tardiness criteria under equal release dates (i.e. moments at which...
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