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An Integrated Two-Stage Inventory and Workforce Planning Model with Variable Production Rates

  • Research Article-Systems Engineering
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Abstract

This paper addresses the economic lot-sizing and manpower planning in a two-stage manufacturing system. We refer to the first and second stages as the vendor and the manufacturer, respectively. Both the vendor and the manufacturer can operate at different production rates by varying the levels of their manpower. In Economics and Econometrics, the rate of production is usually modelled using the production function, a model which links company productivity to the level of existing resources, such as labour and capital. Namely, we utilize the Cobb–Douglas production function to represent the relationship between the production inputs (labour and capital) and the productivity. The impact of manpower planning decisions on the proposed supply chain system is studied. An efficient solution technique is proposed; then, sensitivity analysis and fractional factorial design were conducted to assess the performance of the proposed model. Our results suggest that the variable production rates may lead to substantial savings to the supply chain, especially in the case of low-profit margins. Furthermore, considering the vendor as a leader and the manufacturer as a follower in a Stackelberg sequential game, we present two contracts to share the resulting savings between the vendor and the manufacturer.

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Acknowledgements

The authors would like to acknowledge the support provided by the deanship of scientific research-KFUPM (project number SB191034).

Author information

Authors and Affiliations

  1. Industrial and Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Mohammad AlDurgam & Ahmad Al Hanbali

  2. IRC of Smart Mobility and Logistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Mohammad AlDurgam, Ahmad Al Hanbali & Firas Tuffaha

  3. King Abdullah City for Atomic and Renewable Energy (KACARE), Riyadh, Saudi Arabia

    Talal Saeed

  4. Construction Engineering and Management Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Firas Tuffaha

Authors
  1. Mohammad AlDurgam
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  2. Ahmad Al Hanbali
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  3. Talal Saeed
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  4. Firas Tuffaha
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Corresponding author

Correspondence to Ahmad Al Hanbali.

Additional information

This work was supported by the deanship of scientific research at KFUPM, Grant SB191034.

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AlDurgam, M., Hanbali, A.A., Saeed, T. et al. An Integrated Two-Stage Inventory and Workforce Planning Model with Variable Production Rates. Arab J Sci Eng 48, 7127–7144 (2023). https://doi.org/10.1007/s13369-022-07458-1

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  • DOI: https://doi.org/10.1007/s13369-022-07458-1

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