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Development of a production inventory model with uncertainty and reliability considerations

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Abstract

This paper addresses a problem of an imperfect production system under fuzzy demand and inventory holding cost. Production process reliability is considered because of the imperfect production process. In this problem, reliability of the system in regards to producing defective and non-defective items is considered as a decision variable. The objective is to maximize the graded mean integration value (GMIV) of the expected average profit while considering revenues as well as any other relevant costs. The developed model belongs to the class of a geometric programming. We have developed a simple mathematical methodology to solve the model. Genetic algorithm and simulated annealing algorithms are also applied to solve and validate the results. A numerical example has been presented to interpret the solutions.

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Authors and Affiliations

  1. Department of Industrial and Production Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

    Sanjoy Kumar Paul & Abdullahil Azeem

  2. School of Engineering and Information Technology, University of New South Wales, Canberra, Australia

    Sanjoy Kumar Paul, Ruhul Sarker & Daryl Essam

Authors
  1. Sanjoy Kumar Paul
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  2. Abdullahil Azeem
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  3. Ruhul Sarker
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  4. Daryl Essam
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Correspondence to Sanjoy Kumar Paul.

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Paul, S.K., Azeem, A., Sarker, R. et al. Development of a production inventory model with uncertainty and reliability considerations. Optim Eng 15, 697–720 (2014). https://doi.org/10.1007/s11081-013-9218-6

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  • DOI: https://doi.org/10.1007/s11081-013-9218-6

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