Complex Decision-Making in Economy and Finance. Pierre Massotte

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improve the flexibility of production systems, scheduling techniques, etc.

      1.5.2. Design of complex industrial systems management tools

      When we consider the new structure of production workshops, we must instead speak of production networks because production systems are, in fact, made up of cells and resources that communicate and interact with each other in such a way as to constitute self-configuring systems. Such systems have been extensively studied at the VTT Laboratory in Helsinki, Finland [RAN 93].

      Autonomy and self-organization are essential characteristics of future production systems. Combined with these concepts, and to produce customized products, with a high reactivity to meet demand, it is important to implement new principles of planning, scheduling, piloting and control. However, limiting the ability of systems to be flexible and adaptable through the improvement of their operation or production control functions leads us to play on other potentialities such as interactions between functions, autonomy and system dynamics. This is mainly due to the increasing difficulties encountered in solving problems of scheduling, synchronization and development of the right ranges: as everyone knows, it is indeed very difficult to determine good scheduling in multi-product processes and multi-processes under conditions of nonlinearity and uninterpretable discontinuities.

      Of course, there has long been an attempt to simplify processes and improve their flexibility by developing increasingly complicated strategies and algorithms (in a study conducted in 1993 in the industry, more than 430 scheduling algorithms corresponding to specific problems had been identified, around the production control community, by our team in IBM. Some of them are now considered as algorithms for AI; this demonstrates the many various approaches in machine learning and solution elaboration in planning and scheduling). The question then is: should we continue to try to solve each new problem in a traditional way? How far will we go in the level of complexity to be understood? Can we not work on new and more original approaches? Can we not take better advantage of the intrinsic properties of the systems concerned? How can we exploit new architectures or properties? Here again, we are tackling a new paradigm, which will be part of the familiar domains to come and which are called: fractal factory, virtual factory, agile manufacturing, etc.

      1.5.3. The contribution of chaos and self-organization

      As we have just read, we emphasize here that the challenges and problems posed by the evolution of economies and industry require the implementation of new metaphors and new organizational models. We know, for example, that the most reactive systems can only evolve and change if they have self-organizing properties. Open adaptive systems are the most promising because they are based on a constant improvement of the principles of optimization and evolution as found in Nature. For example:

       – a living natural system is equipped with autonomy. Intelligence is distributed and control, instead of being centralized (“top-down” approach), will be achieved from the bottom up (“bottom-up” approach);

       – a system evolves and adapts through diversity, i.e. through transformations, disruptions, disturbances and so on. It is a notion that is strongly linked to that of chaos;

       – the most adaptable systems are those that are naturally in unstable situations and in constant search for balance;

       – the notion of collective intelligence is based on the emergence of orders and self-organization, which is a key mechanism.

      Within this space, the notion of deterministic chaos can be expressed and bring diversity. This is all the more true since it is a confined space and it is under these conditions that an evolutionary self-organization can be set up. Thus, self-organization consists of delegating and multiplying responsibilities, breaking down tasks and performing them simultaneously at different levels. The notion of unpredictability then takes on its full meaning, but this is not a matter of chance. The industrial system under consideration is then subjected to permanent recomposition phenomena, differentiation, redundancy of operations, inhibition, etc. The very way of carrying out a task may evolve, but, this is important, there is “irreversibility”: the system’s reactions will always be different and this calls into question the content of the orders, which will also change according to the situation and the nature of the agents.

      These few notions lead us to define [MAS 91] a two-level production management system:

       – the microscopic level: this corresponds to the operational level of a production system. It includes control algorithms at the cell level, and allows local optimizations and scheduling and sequencing at the equipment level. It also manages the execution of all elementary tasks. At this level, the rules of the internal functioning of the autonomous cell and the nature of the links that will be established with close neighbors (and will be at the origin of an emerging order or configuration) will also be defined;

       – the macroscopic level: this includes general strategies, as well as global objectives and meta rules. The operating and performance limits of the system and each cell will be determined, as well as the types of links to be established between the cells. It will also define how the network will operate and its exchange capacities, based on demand requirements, as well as on product specifications, constraints and models. This makes it possible to maintain unity of action and coherence of the entire production system.

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