The multi-objective multi-item just-in-time transportation problem

Abstract

This paper analyses the study of Just-in-Time transportation problem with multi-item under multi-objective environment. Realizing the impact of time in a real-life transportation problem, here we introduce the concept of Just-in-Time which helps to extract the optimum network for transporting goods from origins to destinations in scheduled time. The model of multi-objective multi-item Just-in-Time transportation problem is formulated, and then an algorithm is developed under some priority-based approaches to obtain a Pareto optimal solution. To test and justify the efficiency of our study, we include a practical example having three-fold priority: (i) first priority is to deliver goods within the scheduled time, (ii) second priority is to minimize the total transportation cost, and (iii) third priority is to maximize the profit. Finally, the paper ends with the conclusions and future study.

Keywords:

• Transportation problem
• just-in-time
• multi-objective decision making
• $B\left(\lambda \right)$-problem
• Pareto optimal solution

Acknowledgements

The authors are very much thankful to the respected Editor-in-Chief Professor Christiane Tammer, Associate Editor and the anonymous reviewers for providing the precious comments that helped too much to rigorously improve the quality of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research of Sankar Kumar Roy is partially supported by the Portuguese Foundation for Science and Technology (‘FCT-Fundação para a Ciência e a Tecnologia’), through the CIDMA – Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal within the project UID/MAT/04106/ 2019.