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Stochastic-Petri Net Modeling and Optimization for Outdoor Patients in Building Sustainable Healthcare System Considering Staff Absenteeism

Author

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  • Chang Wook Kang

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggido 155 88, Korea)

  • Muhammad Imran

    (Department of Management & HR’, NUST Business School, National University of Sciences & Technology, Islamabad 44000, Pakistan)

  • Muhammad Omair

    (Department of Industrial Engineering, Jalozai Campus, University of Engineering & Technology, Peshawar 25000, Pakistan)

  • Waqas Ahmed

    (Department of Management & HR’, NUST Business School, National University of Sciences & Technology, Islamabad 44000, Pakistan)

  • Misbah Ullah

    (Department of Industrial Engineering, University of Engineering & Technology, Peshawar 25000, Pakistan)

  • Biswajit Sarkar

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggido 155 88, Korea)

Abstract

Sustainable healthcare systems are gaining more importance in the era of globalization. The efficient planning with sustainable resources in healthcare systems is necessary for the patient’s satisfaction. The proposed research considers performance improvement along with future sustainability. The main objective of this study is to minimize the queue of patients and required resources in a healthcare unit with the consideration of staff absenteeism. It is a resource-planning model with staff absenteeism and operational utilization. Petri nets have been integrated with a mixed integer nonlinear programming model (MINLP) to form a new approach that is used as a solution method to the problem. The Petri net is the combination of graphical, mathematical technique, and simulation for visualizing and optimization of a system having both continuous and discrete characteristics. In this research study, two cases of resource planning have been presented. The first case considers the planning without absenteeism and the second incorporates planning with the absenteeism factor. The comparison of both cases showed that planning with the absenteeism factor improved the performance of healthcare systems in terms of the reduced queue of patients and improved operational sustainability.

Suggested Citation

  • Chang Wook Kang & Muhammad Imran & Muhammad Omair & Waqas Ahmed & Misbah Ullah & Biswajit Sarkar, 2019. "Stochastic-Petri Net Modeling and Optimization for Outdoor Patients in Building Sustainable Healthcare System Considering Staff Absenteeism," Mathematics, MDPI, vol. 7(6), pages 1-26, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:499-:d:236417
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    References listed on IDEAS

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    1. Radi Romansky, 2022. "Stochastic Approach to Investigate Protected Access to Information Resources in Combined E-Learning Environment," Mathematics, MDPI, vol. 10(16), pages 1-12, August.
    2. Arthur Henrique de Andrade Melani & Miguel Angelo de Carvalho Michalski & Carlos Alberto Murad & Adherbal Caminada Netto & Gilberto Francisco Martha de Souza, 2022. "Generalized Stochastic Petri Nets for Planning and Optimizing Maintenance Logistics of Small Hydroelectric Power Plants," Energies, MDPI, vol. 15(8), pages 1-16, April.

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