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EN
This paper discusses the impact of delayed information on the social models of replicator dynamic. Internal fixed point is here the optimal decision in the population. Examples and simulations confirm presented results. Here is described both the standard replicator dynamic and the modified model, which assumes that players imitate opponents taking strategies with a higher average payoff in the past. Moreover the model, in which each strategy has its own delay is presented
EN
In the paper the selected review of main research directions and basic statements from the area of evaluations and comparisons of long-term project is given as well as - questions concerning an adjustment of discounting functions to the "true" fluctuations of individual preferences (in the passage of time) are asked. The above research is carried out in two (complementary) planes. At first the analyses of preorders in sets of infinite sequences of (instantaneous) utilities are shortly reported. The subject of the second part of the article is an identification of the analytical shapes of the "exact" and "justintergenerational" discounting functions.
EN
A tool for supporting the negotiator during the process of the analysis of own preferences and the analysis of the preferences of the potential partner is proposed in this work. The approach is based on the construction of the collective preferences model for a selected negotiator's profile in the form of multivariate probability distribution over the space of negotiation issue weights vectors. In the process of user interaction with the system the ranges of issue weights are modified that allows for the decomposition of the general multi-variate distribution into series of uni-variate distributions corresponding to single issues. Such distributions conditionally depend on the issue weight ranges set by the decision-maker for all the remaining issues. Moreover, in the work we consider the possibility of constructing the collective preferences model in a continuous form in the case normally distributed weights for some sets of issues. The data from the Negotiation Support System Inspire [Kersten 1999] were used to examine the normality of the issue weights distribution for different issue sets.
EN
One of the methods of scalarization of a multi-criteria problem is the application of a quasi-hierarchy, determined by the decision maker. In discrete problems, to apply this method it is necessary to have an algorithm which generates the optimal solution and the consecutive solutions, contained within the tolerance interval determined by the decision maker. This paper presents algorithms generating the consecutive realizations for a multi-stage deterministic decision-making process as well as an algorithm generating the consecutive strategies for a multi-stage stochastic decision- making process. Algorithms using these solutions in a multi-criteria quasi-hierarchical process are also proposed.
EN
The Hurwicz rule and the Bayes rule are classical approaches applied in the decision making under uncertainty. This situation occurs when the decision maker may choose one of several alternatives and he or she is only able to assign to each of them an interval of potential payoffs or a set of possible profits. In both cases the answer obtained depends on the state of nature (scenario) which will happen, but in the first case the set of scenarios is infinite and in the second one - it is finite. The Hurwicz measure, with the aid of the coefficient of pessimism and the coefficient of optimism, enables to find the optimal pure strategy when the decision selected is performed only once. Meanwhile the Bayes criterion is designed to indicate the optimal pure or mixed strategy when the variant chosen is performed once or many times. In the first part of the article the author analyzes the Hurwicz rule and illustrates cases when the use of this criterion leads to quite unexpected results which seem to be contradictory with the logic and do not reflect the decision maker's preferences. In the second part a proposal of an approach for optimal pure strategy searching (by means of formulas considering both the coefficients of pessimism and optimism, as well as the whole set of payoffs) is presented. This procedure (H+B rule) combines elements of the Hurwicz criterion and the Bayes criterion, but is deprived of disadvantages typical of the Hurwicz rule. The rule suggested takes into consideration both extreme payoffs and intermediate payoffs, which enables to receive rational recommendations for a larger spectrum of decision problems. The H+B rule may be applied in the decision making process under uncertainty when the number of potential scenarios and the set of possible payoffs are finite, however a slight modification of the equations proposed enables to use this procedure in problems with continuous payoffs.
PL
Artykuł jest kontynuacją artykułu pt. "Analiza wrażliwości i optymalizacja na pewnych modelach archetypów z użyciem Vensima - ujęcie teoretyczne" tych samych autorów. Na bazie możliwości języka symulacyjnego Vensim przeprowadzono wiele eksperymentów i zaprezentowano w postaci "przedziałów ufności", które są bardzo ładną wizualizacją trajektorii zmiennych modeli.
EN
Polycentric metropolitan area Trojmiasto in the north of Poland, by the Gdansk Bay is one of the most important urban centres for the Polish economy. The level of development of the collective public transport system is one of crucial factors for the functioning of such a vast urban area. Public services, in the form of local government departments or budget units are responsible for the organisation of transport services within the metropolis. They are coordinated by the metropolitan public transport union, MZKZG. Either municipal or private carriers are responsible for the realisation of transport services. The metropolitan transport market is dominated by public services or private businesses, while the "third sector" subjects have a relatively small participation in the market shaping process, mostly due to their lack of competiveness, connected with the non-profit activity formula. The objective function of those subjects is based on the desire to fulfil the needs of a limited social group, which are not satisfied through the default market mechanism. Hence, the NGOs organise special transport services, which do not fit within the objectives of traditional public services. Therefore, the objective function of the NGOs and the objective function of the subjects which create transport policy are convergent, however the scale of work of NGOs is far smaller, because of the fact that various constraints exists, not all of which are, however, active. The methodology of operational research allows to analyse the problem of the NGO activity in the process of shaping the Trojmiasto metropolitan transport market which is formulated in this way. Operational research on the constraints of NGO activity lead to a conclusion that the furthest constraint is the lack of periodic financing sources. The third sector organisations also point out heavy competition between them and barriers against access to the transport services feasibility studies. Therefore, the adaptation of the role of a transport policy stakeholder seems a necessary predictive value for the non-government organisations.
PL
Analiza, modelowanie i symulacja złożonych nieliniowych, dynamicznych i wielopoziomowych systemów ma długą historię, szczególnie w obszarze słynnej metody Dynamiki Systemowej. Współczesne języki symulacyjne, takie jak Vensim, pozwalają na łączenie symulacji z optymalizacją, co umożliwia ocenę wrażliwości parametrów w modelowanych obiektach i wybór optymalnych decyzji. Zakres modelowanych obiektów jest bardzo szeroki: od modeli przemysłowych, po ekologiczne i ekonomiczne. Problem badawczy artykułu odnosi się do takich dyscyplin, jak: Teoria Decyzji, Teoria Organizacji, Badania Operacyjne.
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