Complex Decision-Making in Economy and Finance. Pierre Massotte

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of problems are no longer dealt with since it is left to the system to solve them according to its internal dynamics. We will no longer speak of a hierarchically organized and managed production system, but of an autonomous network. However, the principles and concepts of fully distributed and autonomous networks are not yet applied. As a result, the development of predetermined, planned and fixed control and management systems is being challenged. This also explains why the obsolescence of conventional “ad hoc” approaches and systems will always be rapid and ERPs will have to evolve.

      To take better advantage of the characteristics of a production system, i.e. to exploit their flexibility more effectively, it is necessary to take advantage of new properties linked to the very structure of the system, its interactions, etc. Rather than adopting planning strategies, we will exploit the properties of multi-agent systems: we will therefore implement new configurations (logical, virtual or physical) of autonomous and communicating cells, with different initial states, capable of initiating tasks, concurrently, in cooperation or with a spirit of emulation, as can be found in human societies.

      It also raises the question of the relevance of current tools and approaches concerning, for example, supply chain management. Indeed, whereas the criteria taken into account in these systems consist of giving priority first to the demand, then to process optimization and finally to physical flow management, the new approach, but which we will not develop here, must first focus on the physical flow, then on the demand and finally on the optimization of the system. The priorities are therefore reversed, but it is at this price that the notions of fractal chaos and self-organization can be integrated into industrial systems.

      It follows that the leap to be taken during these rationality changes must be considered from the design and development phase of a process. Finally, as we can see, intellectual, technological and organizational leaps will always have to be integrated and assimilated into the systems under consideration.

      1.5.4. Consequences

      This section on the study of complex systems has shown how most industrial systems can be subject to deterministic chaos. This is mainly due to feedback loops in product and information flows. These are omnipresent; they accentuate the effects of even simple functions from the outset, introduce delays throughout the system under consideration and effects that are difficult to combine and study as a whole. Chaos is strongly linked to the notions of fractal and self-organization, whose associated properties are essential for the implementation of new paradigms.

      On another level, the context we have just studied is transdisciplinary and requires knowledge from biology, mathematics, physics as well as cognitive and social sciences. Under such conditions, it appears that conventional approaches and tools for analyzing, managing and steering industrial systems are inadequate because:

       – the principle of functional decomposition is not applicable here;

       – ways of thinking are compartmentalized;

       – conventional modeling and simulation tools cannot be applied because such systems are unpredictable, difficult to control and have specific characteristics, etc.;

       – finally, the notion of dynamic “behavior” is essential because it conditions the notions of adaptation and dynamic reallocation of new means, methods and techniques.

      Given these characteristics, industrial systems cannot react to certain stimuli and controls according to predefined patterns, and we cannot react to complexity with more complexity because we would engage in an endless spiral. More specifically, some schemes recently highlighted in the Life Sciences must be considered because the mechanisms they use, which are the result of a long evolution, provide some answers to the general problem of flexibility and reactivity of industrial systems.

      It is interesting to note the sequence highlighted by biologists to illustrate the evolution of cellular societies: it begins with the notion of diversity at the origin of the convergence of a cell or agent towards an attractor. This then makes it possible to bring into play the notion of complementarity, then interdependence and finally complexity. In terms of functionalities and needs, this corresponds to a specialization of agents (activation or inhibition of specific functions), the emergence of new properties at the global level, and to exploit them, the implementation of a functional organization (and by interlocking fractal type).

      To repeat and clarify what has been previously exposed in industrial systems subject to deterministic chaos, the system is hardly controlled externally. It must therefore have self-organizing properties to adapt to new situations while remaining within a framework of freedom.

      Following our observation, some of the approaches described were successfully implemented in the TCM assembly workshop at IBM France, which served as an experimental framework. They have made it possible to define appropriate tools and methods that need to be deployed (here we will simply mention the LMA product: Line Management Advisor, based on artificial intelligence techniques) [BEA 94]. Subsequent studies have further developed the use of recurrent neural networks and cellular automata based on stochastic functions to improve the approaches and results described above.

      2

      Designing Complex Products and Services

      2.1. Complex systems engineering: the basics

      2.1.1. Relationship between organization and product: basic principles

      In the previous chapter, we saw that nonlinear dynamical systems (NLDS) are subject to complex behaviors. They are “programmable networks” whose functions and interactions are not necessarily linear. We encounter them in all fields: industrial, financial, economic, social, political, etc.

      When we have qualitative systems, it is relatively easy to build a mathematical model of the phenomenon or system evolution, to evaluate it and study its behavior. When we have quantitative information, the development of the model is much more difficult; so is the study of the model.

      In a manufacturing system dedicated to the assembly and testing of complex technological sets, the problem is what will determine the quality of the product and the performance of the manufacturing process: “will it remain stable? Will productivity be optimal? Does the production system remain under control?” So many questions that a production manager asks himself or herself.

      First, it should be noted that in a conventional system, most tasks are often

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