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A Stochastic Approach for Product Costing in Manufacturing Processes

Author

Listed:
  • Paulo Afonso

    (Centro Algoritmi, University of Minho, 4710-057 Braga, Portugal)

  • Vishad Vyas

    (Centro Algoritmi, University of Minho, 4710-057 Braga, Portugal)

  • Ana Antunes

    (Centro Algoritmi, University of Minho, 4710-057 Braga, Portugal)

  • Sérgio Silva

    (Bosch Car Multimedia Portugal, S.A., 4705-285 Braga, Portugal)

  • Boris P. J. Bret

    (Bosch Car Multimedia Portugal, S.A., 4705-285 Braga, Portugal)

Abstract

Nowadays, manufacturing companies are characterized by complex systems with multiple products being manufactured in multiple assembly lines. In such situations, traditional costing systems based on deterministic cost models cannot be used. This paper focuses on developing a stochastic approach to costing systems that considers the variability in the process cycle time of the different workstations in the assembly line. This approach provides a range of values for the product costs, allowing for a better perception of the risk associated to these costs instead of providing a single value of the cost. The confidence interval for the mean and the use of quartiles one and three as lower and upper estimates are proposed to include variability and risk in costing systems. The analysis of outliers and some statistical tests are included in the proposed approach, which was applied in a tier 1 company in the automotive industry. The probability distribution of the possible range of values for the bottleneck’s cycle time showcase all the possible values of product cost considering the process variability and uncertainty. A stochastic cost model allows a better analysis of the margins and optimization opportunities as well as investment appraisal and quotation activities.

Suggested Citation

  • Paulo Afonso & Vishad Vyas & Ana Antunes & Sérgio Silva & Boris P. J. Bret, 2021. "A Stochastic Approach for Product Costing in Manufacturing Processes," Mathematics, MDPI, vol. 9(18), pages 1-23, September.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2238-:d:633751
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    References listed on IDEAS

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    6. S.R. Singh & Chaman Singh, 2010. "Supply chain model with stochastic lead time under imprecise partially backlogging and fuzzy ramp-type demand for expiring items," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 8(4), pages 511-522.
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