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Open AccessArticle

Time Variant Multi-Objective Interval-Valued Transportation Problem in Sustainable Development

1
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, West Bengal, India
2
Department of Computer Science and Artificial Intelligence, University of Granada, 18071 Granada, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Sustainability 2019, 11(21), 6161; https://doi.org/10.3390/su11216161
Received: 9 September 2019 / Revised: 28 October 2019 / Accepted: 31 October 2019 / Published: 4 November 2019
(This article belongs to the Special Issue Soft Computing for Sustainability)
Sustainable development is treated as the achievement of continued economic development without detriment to environmental and natural resources. Now-a-days, in a competitive market scenario, most of us are willing to pay less and to gain more in quickly without considering negative externalities for the environment and quality of life for future generations. Recalling this fact, this paper explores the study of time variant multi-objective transportation problem (MOTP) with consideration of minimizing pollution. Time of transportation is of utmost importance in reality; based on this consideration, we formulate a MOTP, where we optimize transportation time as well as the cost function. The parameters of MOTP are interval-valued, so this form of MOTP is termed as a multi-objective interval transportation problem (MOITP). A procedure is taken into consideration for converting MOITP into deterministic form and then for solving it. Goal programming is applied to solve the converted transportation problem. A case study is conducted to justify the methodology by utilizing the environmental impact. At last, conclusions and future research directions are included regarding our study. View Full-Text
Keywords: transportation problem; sustainability; interval number; time variant parameter; goal programming transportation problem; sustainability; interval number; time variant parameter; goal programming
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MDPI and ACS Style

Maity, G.; Roy, S.K.; Verdegay, J.L. Time Variant Multi-Objective Interval-Valued Transportation Problem in Sustainable Development. Sustainability 2019, 11, 6161.

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