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Time variant multi-objective linear fractional interval-valued transportation problem

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Abstract

This paper studies a time-variant multi-objective linear fractional transportation problem. In reality, transported goods should reach in destinations within a specific time. Considering the importance of time, a time-variant multi-objective linear fractional transportation problem is formulated here. We take into account the parameters as cost, supply and demand are interval valued that involved in the proposed model, so we treat the model as a multi-objective linear fractional interval transportation problem. To solve the formulated model, we first convert it into a deterministic form using a new transformation technique and then apply fuzzy programming to solve it. The applicability of our proposed method is shown by considering two numerical examples. At last, conclusions and future research directions regarding our study is included.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102, India

    Dharmadas Mardanya & Sankar Kumar Roy

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  1. Dharmadas Mardanya
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  2. Sankar Kumar Roy
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Correspondence to Sankar Kumar Roy.

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Mardanya, D., Roy, S.K. Time variant multi-objective linear fractional interval-valued transportation problem. Appl. Math. J. Chin. Univ. 37, 111–130 (2022). https://doi.org/10.1007/s11766-022-4476-8

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  • DOI: https://doi.org/10.1007/s11766-022-4476-8

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