Master Production Scheduling with Consideration of Utilization-Dependent Exhaustion and Capacity Load

Marco Trost (), Thorsten Claus and Frank Herrmann
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Marco Trost: International Institute (IHI) Zittau, Technische Universität Dresden, Markt 23, 02763 Zittau, Germany
Thorsten Claus: International Institute (IHI) Zittau, Technische Universität Dresden, Markt 23, 02763 Zittau, Germany
Frank Herrmann: Ostbayerische Technische Hochschule Regensburg, Innovation and Competence Centre for Production Logisticsand Factory Planning (IPF), 93025 Regensburg, Germany

Sustainability, 2023, vol. 15, issue 8, 1-20

Abstract: A large number of researchers have addressed social aspects in hierarchical production planning. This article responds to research gaps identified in our previous literature review. Accordingly, consideration of social aspects and the economic implications of social improvements are required in a longer term planning approach. For this, we integrate work intensity as employee utilization in a general mixed-integer programming model for master production scheduling. Following existing fatigue functions, we represent the relationship between work intensity and exhaustion through an employee-utilization-dependent exhaustion function. We account for the economic implications through exhaustion-dependent capacity load factors. We solve our model with a CPLEX standard solver and analyze a case study based on a realistic production system and numerical data. We demonstrate that the consideration of economic implications is necessary to evaluate social improvements. Otherwise, monetary disadvantages are overestimated, and social improvements are, thus, negatively affected. Moreover, from a certain level of work-intensity reduction, demand peaks are smoothed more by pre-production, which requires more core employees, while temporary employment is reduced. Further potential may arise from considering and quantifying other interdependencies, such as employee exhaustion and employee days off. In addition, the relationship between social working conditions and employee turnover can be integrated.

Keywords: capacity load; employee utilization; exhaustion; linear optimization; master production scheduling; social aspects (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
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