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Joint inspection and product quality optimization for a system with delayed failure

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  • Azimpoor, Samareh
  • Taghipour, Sharareh

Abstract

This paper proposes the integrated production, inspection, and quality planning of a machine with a two-stage delay time failure process (DTM). In a DTM, a failure proceeds with a potential defect. We assume a defective machine as one of the assignable causes of non-conforming products. The delay time is used as an opportunity to perform periodic quality control inspections of the products and detect higher than the acceptable level of non-conformity, which is an indicator of a defect in the machine. Before the arrival of a defect on the machine, the non-conforming products are produced with a contact rate. After a defect arrival, the proportion of non-conforming products increases with time until the machine failure or the detection of the defect at inspection. The reproduction of non-conforming products incurs extra penalty cost to the production. Moreover, in the case of higher than acceptable level of nonconformity, the defective machine is preventively replaced. If the machine fails, corrective replacement is carried out. We use a combination of stochastic mathematical formulation, simulation, and optimization to determine the optimal periodic inspection interval, which minimizes the total expected cost of the production. Several examples are provided to highlight some interesting aspects in the interactions between the production, quality, and maintenance.

Suggested Citation

  • Azimpoor, Samareh & Taghipour, Sharareh, 2021. "Joint inspection and product quality optimization for a system with delayed failure," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    • Handle: RePEc:eee:reensy:v:215:y:2021:i:c:s0951832021003173
    DOI: 10.1016/j.ress.2021.107793
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    References listed on IDEAS

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    Cited by:

    1. Azimpoor, Samareh & Taghipour, Sharareh & Farmanesh, Babak & Sharifi, Mani, 2022. "Joint Planning of Production and Inspection of Parallel Machines with Two-phase of Failure," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    2. Wei, Shuaichong & Nourelfath, Mustapha & Nahas, Nabil, 2023. "Analysis of a production line subject to degradation and preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    3. Sinisterra, Wilfrido Quiñones & Lima, Victor Hugo Resende & Cavalcante, Cristiano Alexandre Virginio & Aribisala, Adetoye Ayokunle, 2023. "A delay-time model to integrate the sequence of resumable jobs, inspection policy, and quality for a single-component system," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    4. Safaei, Fatemeh & Taghipour, Sharareh, 2022. "Optimal preventive maintenance for repairable products with three types of failures sold under a renewable hybrid FRW/PRW policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    5. Kim, Seokgoo & Choi, Joo-Ho & Kim, Nam Ho, 2022. "Inspection schedule for prognostics with uncertainty management," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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