Proceedings of the First International Conference on Computing, Communication and Control System, I3CAC 2021, 7-8 June 2021, Bharath University, Chennai, India

Research Article

Uncertain multi objective multi item four dimensional transportation problem with vehicle speed

Download405 downloads
  • @INPROCEEDINGS{10.4108/eai.7-6-2021.2308686,
        author={A. N. Revathi and S.  Mohanaselvi and Dipak Kumar Jana},
        title={Uncertain multi objective multi item four dimensional transportation problem with vehicle speed},
        proceedings={Proceedings of the First International Conference on Computing, Communication and Control System, I3CAC 2021, 7-8 June 2021, Bharath University, Chennai, India},
        publisher={EAI},
        proceedings_a={I3CAC},
        year={2021},
        month={6},
        keywords={four dimensional transportation problem uncertain variables goal programming},
        doi={10.4108/eai.7-6-2021.2308686}
    }
    
  • A. N. Revathi
    S. Mohanaselvi
    Dipak Kumar Jana
    Year: 2021
    Uncertain multi objective multi item four dimensional transportation problem with vehicle speed
    I3CAC
    EAI
    DOI: 10.4108/eai.7-6-2021.2308686
A. N. Revathi1,*, S. Mohanaselvi2, Dipak Kumar Jana2
  • 1: Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai - 603 203, Tamil Nadu, India
  • 2: School of Applied Sciences & Humanities, Haldia Institute of Technology, Haldia, Purba MidnaPur-721657, West Bengal, India
*Contact email: revathin1@srmist.edu.in

Abstract

The In this work, multi objectives multi item four dimensional transportation problem with vehicle speed consisting of uncertain variable parameters is studied. Due to bad road conditions, the rate of variation of speed of the vehicle may vary in different routes and the speed of different vehicles are also considered first time in the time minimization transportation model. Equivalent deterministic models for the uncertain programming model are proposed by using chance constrained and expected value method. Finally goal programming technique is applied to derive a suitable compromise solution of the uncertain multi objective multi item four dimensional transportations problems with consideration of vehicle speed. An illustrative real life situation is discussed and optimal results are displayed to demonstrate the proposed methodology..