Optimum rescheduling of water networks for batch processes using a goal programming technique

Fatma M Ayyad; Walaa M Shehata; Ahmed A Bhran; Abeer M Shoaib

doi:10.1038/s41598-023-49070-9

Optimum rescheduling of water networks for batch processes using a goal programming technique

Sci Rep. 2023 Dec 14;13(1):22225. doi: 10.1038/s41598-023-49070-9.

Authors

Fatma M Ayyad¹, Walaa M Shehata², Ahmed A Bhran^{2

3}, Abeer M Shoaib²

Affiliations

¹ Department of Petroleum Refining and Petrochemical Engineering, Faculty of Petroleum and Mining Engineering, Suez University, P.O. Box: 43221, Suez, Egypt. fatma.ayyad@suezuniv.edu.eg.
² Department of Petroleum Refining and Petrochemical Engineering, Faculty of Petroleum and Mining Engineering, Suez University, P.O. Box: 43221, Suez, Egypt.
³ Chemical Engineering Department, College of Engineering, Imam Mohammad Ibn Saud Islamic University, 11432, Riyadh, Saudi Arabia.

Abstract

Batch processes are relevant to a wide variety of industries in chemical processes. In batch operations, water sources are almost not directly reused/recycled in process sinks without considering time constraints and storage tanks. However, storage tanks are usually expensive and thus a cost-effective water system has to be synthesized. Rescheduling the water network can contribute to reducing the cost of storage tanks by reducing their number and capacity. In the current research work, a goal programming is used to reschedule the water network in batch processes considering the time and storage tanks. A Mixed Integer Non-Linear Program model is introduced using the Lingo optimization program. This model is used to optimize multiple objectives, which are freshwater usage, wastewater discharge, the number and capacity of tanks, the degree of shifting streams, and the total cost of the water network. Three case studies are presented in this study to demonstrate the effectiveness of the proposed procedure, considering both single and multi-contaminants problems. The results of the first case study show a reduction in the network cost and the freshwater flowrate by 26.4% and 42%, respectively. Regarding the rescheduled water network results of the second case study, the cost is reduced by 24.6% and the freshwater flowrate is decreased by 21.8% with no requirement of storage tanks. The third case study highlights the model's applicability to multi-contaminants problem, revealing a 15.1% cost reduction and a 25.7% decrease in freshwater flow.