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Production Scheduling for Damageable Items with Demand and Cost Flexibility Using Genetic Algorithm

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Proceedings of the International Conference on Soft Computing for Problem Solving (SocProS 2011) December 20-22, 2011

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 131))

Abstract

In this paper, a production inventory model is designed with the assumption made about the cost function that will influence the empirical results obtained regarding measurement of volume flexibility. We consider a particular kind of products which are usually stored in stacks and damaged during the storage due to accumulated stress of heaped stock. These are known as damageable items. Here the model is developed for such items with stock-time-price sensitive demand and shortages. The unit production cost is taken to be a convex function of the production rate. The mathematical expression for the total relevant cost is derived and it is minimized subject to different constraints of the system. Because of the nonlinearity and complexity of the problem, the model is solved numerically and the final evaluations are made using genetic algorithm (GA). A numerical example is given and sensitivity analyses are performed to analyze the influence of various parameters on the overall cost. The results can help those manufacturing firms which deal in damageable products.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Banasthali University, P.O. Banasthali, Vidyapith, Rajasthan, 304022, India

    Himani Dem

  2. Department of Mathematics, Devanagri College, Chaudhary Charan Singh University, Meerut, 250001, India

    S. R. Singh

Authors
  1. Himani Dem
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  2. S. R. Singh
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Correspondence to Himani Dem .

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Editors and Affiliations

  1. , Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India

    Kusum Deep

  2. Department of Mathematics and, Computer Science, Liverpool Hope University, Hope Park, Liverpool, L16 9JD, United Kingdom

    Atulya Nagar

  3. , Department of Paper Technology, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India

    Millie Pant

  4. Information Technology and Management, ABV-Indian Institute of, 109, E- Block, Gwalior, 474010, India

    Jagdish Chand Bansal

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© 2012 Springer India Pvt. Ltd.

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Dem, H., Singh, S.R. (2012). Production Scheduling for Damageable Items with Demand and Cost Flexibility Using Genetic Algorithm. In: Deep, K., Nagar, A., Pant, M., Bansal, J. (eds) Proceedings of the International Conference on Soft Computing for Problem Solving (SocProS 2011) December 20-22, 2011. Advances in Intelligent and Soft Computing, vol 131. Springer, New Delhi. https://doi.org/10.1007/978-81-322-0491-6_68

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  • DOI: https://doi.org/10.1007/978-81-322-0491-6_68

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-0490-9

  • Online ISBN: 978-81-322-0491-6

  • eBook Packages: EngineeringEngineering (R0)

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