Petr Suchánek

Modelling Decision-Making Processes in the Management Support of the Manufacturing Element in the Logistic Supply Chain

This paper highlights the problems of mathematical modelling for a specific element of the logistic supply chain, that is, the manufacturing system. The complex manufacturing system consisting of a determined number of parallel subsystems is modelled. The fact that the same manufacturing procedure can be carried out in various locations is emphasised. Control algorithms as well as manufacturing strategies are explained. The equations of state are introduced. The two-stage criterion lets us use the result data generated by the simulator of the production system as the initial data for further processing; however, the main goal remains to minimise the time of the course of production. The precisely elaborated case study implements initial data obtained by preceding simulation procedures carried out in manufacturing systems consisting of three, four, and five subsystems.

Business Process Modeling of Logistic Production Systems

The paper highlights the problem of the logistic system modeling which consists of similar structures representing a synthetic manufacturing plant. Routes for products as well as matrixes of life and state are given. Structures differ from each other as they have various transport times from one production stand to another. Additionally, tool replacement times and machine maintenance times are given. There are also dedicated buffer stores which make the manufacturing process possible even if the subsequent machine is busy. Manufacturing strategies and heuristic algorithms are responsible for the control of the system. The main criterion is to minimize the total manufacturing time by means of searching for such a sequence of operations which often leads to avoiding bottlenecks. The main goal of the paper is to build a mathematical model of the above characterized system including proposals for algorithms for optimizing production in relation to orders.

Self-learning Bayesian Networks in Diagnosis☆

Abstract The article presents the main bases of artificial intelligence, probabilistic diagnostic methods, development of the diagnostic database and diagnostic base of knowledge and Bayesian networks as a base of the diagnostic self-learning systems which are commonly used in medicine to recognize diseases on the basis of symptoms. Probabilistic models of diagnostic networks are based on the Bayesian formulas. These formulas let us determine probabilities of causes on the basis of probabilities of results. This is the reason why databases must be created and adequate probabilities determined. Results of this research are then analyzed by means of statistical methods.

Modelling the Validation Process of Enterprise Software Systems

The paper highlights the problem of the criteria-based assessment of the software system taking into account their sustainability, maintainability, and usability. The extended iteration model of creating software as well as its subsequent implementation is emphasised. The mathematical model for validating the software by highly qualified experts is introduced. It is followed by presenting the general pseudocode on the basis of which it is possible to program the software responsible for choosing the appropriate experts who are able to validate the software types.

Modelling of the Logistic Supplier-Consumer Behavior

The paper highlights the problems of mathematical modelling in the delivery system. The system describes the suppliers who offer different types of products as well as the consumers who order different products. Products are ordered at stochastic times, however, manufacturers offer predictable demand. The problem becomes more complex when the number of orders grows. The structure of the system is shown, equations of state are introduced and control algorithms as well as criteria are proposed. Orders change their state which leads to modifying it at every decision stage. The same concerns the actual output of manufacturers which also has to be modified. Therefore, the problem consists of the design of such a delivery pattern which can minimise losses of the discussed company. The goal of the paper is to present the mathematical model of the logistic system taking into account the consumer-supplier relations. The model forms the basis for the subsequent information support tool.