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Bi-criteria solid transportation problem with substitutable and damageable items in disaster response operations on fuzzy rough environment

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  • Pramanik, Sutapa
  • Jana, Dipak Kumar
  • Maiti, Manoranjan

Abstract

Successful planning and scheduling of relief operations play a key role in saving lives and reducing damage in disasters. These disaster operations involve a variety of challenging multi-objective optimization problems, for which soft computing methods are well suited. In this investigation, relief materials and human resources are transported from some distribution centers (DCs) to some delivery points (DPs) through conveyances. The objectives are to minimize both total cost and time for transportation. Some particular models for (a) substitutable items (b) damageable items and (c) safety Factor have been derived. To convert bi-criteria solid transportation problem into a single objective problem, three different techniques (i) Fuzzy interactive satisficing method, (ii) Global Criterion Method and (iii) Convex Combination Method are used. Then the reduced single objective problem is solved by a non-linear optimization technique – Generalized reduced gradient method using LINGO-14.0. The models are illustrated through some numerical examples and optimal results are presented in tabular forms.

Suggested Citation

  • Pramanik, Sutapa & Jana, Dipak Kumar & Maiti, Manoranjan, 2016. "Bi-criteria solid transportation problem with substitutable and damageable items in disaster response operations on fuzzy rough environment," Socio-Economic Planning Sciences, Elsevier, vol. 55(C), pages 1-13.
    • Handle: RePEc:eee:soceps:v:55:y:2016:i:c:p:1-13
    DOI: 10.1016/j.seps.2016.04.002
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    Cited by:

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    3. Abbas Mardani & Mehrbakhsh Nilashi & Jurgita Antucheviciene & Madjid Tavana & Romualdas Bausys & Othman Ibrahim, 2017. "Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature," Complexity, Hindawi, vol. 2017, pages 1-33, October.
    4. Tamás Bányai & Christian Landschützer & Ágota Bányai, 2018. "Markov-Chain Simulation-Based Analysis of Human Resource Structure: How Staff Deployment and Staffing Affect Sustainable Human Resource Strategy," Sustainability, MDPI, vol. 10(10), pages 1-21, October.

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