2,133 research outputs found
Towards a compendium of process technologies: The jBPT library for process model analysis
This paper presents the idea of a compendium of process technologies, i.e., a concise but comprehensive collection of techniques for process model analysis that support research on the design, execution, and evaluation of processes. The idea originated from observations on the evolution of process-related research disciplines. Based on these observations, we derive design goals for a compendium. Then, we present the jBPT library, which addresses these goals by means of an implementation of common analysis techniques in an open source codebase
Isotactics as a foundation for alignment and abstraction of behavioral models
There are many use cases in business process management that require the comparison of behavioral models. For instance, verifying equivalence is the basis for assessing whether a technical workflow correctly implements a business process, or whether a process realization conforms to a reference process. This paper proposes an equivalence relation for models that describe behaviors based on the concurrency semantics of net theory and for which an alignment relation has been defined. This equivalence, called isotactics, preserves the level of concurrency of aligned operations. Furthermore, we elaborate on the conditions under which an alignment relation can be classified as an abstraction. Finally, we show that alignment relations induced by structural refinements of behavioral models are indeed behavioral abstractions
The Krause-Hegselmann Consensus Model with Discrete Opinions
The consensus model of Krause and Hegselmann can be naturally extended to the
case in which opinions are integer instead of real numbers. Our algorithm is
much faster than the original version and thus more suitable for applications.
For the case of a society in which everybody can talk to everybody else, we
find that the chance to reach consensus is much higher as compared to other
models; if the number of possible opinions Q<=7, in fact, consensus is always
reached, which might explain the stability of political coalitions with more
than three or four parties. For Q>7 the number S of surviving opinions is
approximately the same independently of the size N of the population, as long
as Q<N. We considered as well the more realistic case of a society structured
like a Barabasi-Albert network; here the consensus threshold depends on the
outdegree of the nodes and we find a simple scaling law for S, as observed for
the discretized Deffuant model.Comment: 12 pages, 6 figure
A Contracted Path Integral Solution of the Discrete Master Equation
A new representation of the exact time dependent solution of the discrete
master equation is derived. This representation can be considered as
contraction of the path integral solution of Haken. It allows the calculation
of the probability distribution of the occurence time for each path and is
suitable as basis of new computational solution methods.Comment: For related work see
http://www.theo2.physik.uni-stuttgart.de/helbing.htm
The role of network topology on extremism propagation with the Relative Agreement opinion dynamics
In (Deffuant et al., 2002), we proposed a simple model of opinion dynamics,
which we used to simulate the influence of extremists in a population.
Simulations were run without any specific interaction structure and varying the
simulation parameters, we observed different attractors such as predominance of
centrism or of extremism. We even observed in certain conditions, that the
whole population drifts to one extreme of the opinion, even if initially there
are an equal number of extremists at each extreme of the opinion axis. In the
present paper, we study the influence of the social networks on the presence of
such a dynamical behavior. In particular, we use small-world networks with
variable connectivity and randomness of the connections. We find that the drift
to a single extreme appears only beyond a critical level of connectivity, which
decreases when the randomness increases.Comment: 15 pages, 9 figure
Monte Carlo Simulation of Deffuant opinion dynamics with quality differences
In this work the consequences of different opinion qualities in the Deffuant
model were examined. If these qualities are randomly distributed, no different
behavior was observed. In contrast to that, systematically assigned qualities
had strong effects to the final opinion distribution. There was a high
probability that the strongest opinion was one with a high quality.
Furthermore, under the same conditions, this major opinion was much stronger
than in the models without systematic differences. Finally, a society with
systematic quality differences needed more tolerance to form a complete
consensus than one without or with unsystematic ones.Comment: 8 pages including 5 space-consuming figures, fir Int. J. Mod. Phys. C
15/1
Opinion dynamics and decision of vote in bipolar political systems
A model of the opinion dynamics underlying the political decision is
proposed. The analysis is restricted to a bipolar scheme with a possible third
political area. The interaction among voters is local but the final decision
strongly depends on global effects such as, for example, the rating of the
governments. As in the realistic case, the individual decision making process
is determined by the most relevant personal interests and problems. The
phenomenological analysis of the national vote in Italy and Germany has been
carried out and a prediction of the next Italian vote as a function of the
government rating is presented.Comment: 8 pages, 1 figure. To be published in International Journal of Modern
Physics
Phase transitions in social impact models of opinion formation
We study phase transitions in models of opinion formation which are based on
the social impact theory. Two different models are discussed: (i) a
cellular--automata based model of a finite group with a strong leader where
persons can change their opinions but not their spatial positions, and (ii) a
model with persons treated as active Brownian particles interacting via a
communication field. In the first model, two stable phases are possible: a
cluster around the leader, and a state of social unification. The transition
into the second state occurs for a large leader strength and/or for a high
level of social noise. In the second model, we find three stable phases, which
correspond either to a ``paramagnetic'' phase (for high noise and strong
diffusion), a ``ferromagnetic'' phase (for small nose and weak diffusion), or a
phase with spatially separated ``domains'' (for intermediate conditions).Comment: 15 pages, 4 figures, submitted for publication in Physica
The Sznajd Consensus Model with Continuous Opinions
In the consensus model of Sznajd, opinions are integers and a randomly chosen
pair of neighbouring agents with the same opinion forces all their neighbours
to share that opinion. We propose a simple extension of the model to continuous
opinions, based on the criterion of bounded confidence which is at the basis of
other popular consensus models. Here the opinion s is a real number between 0
and 1, and a parameter \epsilon is introduced such that two agents are
compatible if their opinions differ from each other by less than \epsilon. If
two neighbouring agents are compatible, they take the mean s_m of their
opinions and try to impose this value to their neighbours. We find that if all
neighbours take the average opinion s_m the system reaches complete consensus
for any value of the confidence bound \epsilon. We propose as well a weaker
prescription for the dynamics and discuss the corresponding results.Comment: 11 pages, 4 figures. To appear in International Journal of Modern
Physics
Simulation of Consensus Model of Deffuant et al on a Barabasi-Albert Network
In the consensus model with bounded confidence, studied by Deffuant et al.
(2000), two randomly selected people who differ not too much in their opinion
both shift their opinions towards each other. Now we restrict this exchange of
information to people connected by a scale-free network. As a result, the
number of different final opinions (when no complete consensus is formed) is
proportional to the number of people.Comment: 7 pages including 3 figs; Int.J.MOd.Phys.C 15, issue 2; programming
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