A Cloud-Based Approach to Modeling ERP Information Flows Using a Bivariate Pólya–Aeppli Process

Fatima Sapundzhi (), Vesna Dimitrova, Meglena Lazarova (), Slavi Georgiev (), Michail Todorov and Venelin Todorov
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Fatima Sapundzhi: Department of Communication and Computer Engineering, Faculty of Engineering, South-West University “Neofit Rilski”, 66 Ivan Mihaylov Str., 2700 Blagoevgrad, Bulgaria
Vesna Dimitrova: Department of Communication and Computer Engineering, Faculty of Engineering, South-West University “Neofit Rilski”, 66 Ivan Mihaylov Str., 2700 Blagoevgrad, Bulgaria
Meglena Lazarova: Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 8 “St. Kliment Ohridski”, Blvd., 1000 Sofia, Bulgaria
Slavi Georgiev: Department of Informational Modeling, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. Georgi Bonchev Str., 1113 Sofia, Bulgaria
Michail Todorov: Department of Differential Equations and Mathematical Physics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. Georgi Bonchev Str., 1113 Sofia, Bulgaria
Venelin Todorov: Department of Informational Modeling, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. Georgi Bonchev Str., 1113 Sofia, Bulgaria

Mathematics, 2025, vol. 13, issue 11, 1-20

Abstract: Fast-growing technology and the development of IT services give the idea of founding a new application of stochastic processes and their properties. We give a new connection between electronic process management and a stochastic process named the bivariate Pólya–Aeppli counting process. This process is applied as a counting process in the mathematical construction of the given model and it has been introduced as a counting process in electronic process management. In our current study, we assume a company that has two locations in two countries—Bulgaria and Romania. For seamless communication and data sharing, the integrated factories leverage the System Applications and Products in Data Processing (SAP) system. By combining these functions into one structure, we optimize coordination, streamline operations, and improve the company’s productivity and profitability. The automated tools within the system facilitate uninterrupted production and secure supply chains and thus the decision making is improved. A key benefit of these tools is to boost production and procurement activities for success in today’s competitive market which results in cost savings, will increase visibility, and also will improve rapid decision making.

Keywords: stochastic processes; electronic process management; enterprise resource planning; SAP system; cloud computing; industrial systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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