Analytical Modeling of a Dynamic Discrete System for Managing Job-Tasks in Short-Run Print Production

2025;
: pp. 26 - 37
Authors:
1
Institute of Printing Art and Media Technologies in Lviv Polytechnic National University

The efficiency of production processes in on­demand printing is addressed by optimizing job­task management systems operating under variable demand, technological heterogeneity, and continuous reconfiguration of production routes. Existing approaches in industrial infrastructure design provide a foundation for adaptive systems supporting small and medium­sized production with forecasting and analytical evaluation, yet they do not fully meet the specific requirements of short­run printing, where time constraints, order heterogeneity, and operational asynchrony demand synchronization of data flows across customer interaction, prepress preparation, route configuration, and executive subsystems. In this research the discrete­event modeling and stochastic Petri nets are applied to represent sequences of events, state transitions, and concurrent, distributed, resource­constrained processes. The constructed state­transition matrix enabled the design of an analytical model encompassing data flow structuring, job­task prioritization, route adaptation criteria, and real­time decision­making. This model provides a basis for predictive scenarios, enhances production loop controllability, and stabilizes processing of heterogeneous orders while advancing digital technologies in on­demand printing.

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