Abstract

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.

Highlights

  • Sustainability is not about threat analysis; it is a system analysis

  • Considering the traditional model of Transportation Problem (TP), here, we develop the mathematical model of multi-objective interval transportation problem (MOITP)

  • The mathematical model of multi-objective transportation problem (MOTP) described in this paper cannot be solved directly due to presence of interval-valued parameters

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Summary

Introduction

Sustainability is not about threat analysis; it is a system analysis. It is about how environmental, economic, and social systems interact to their mutual advantage or disadvantage at various space-based scales of operations. Several vehicles are used, which run over the head of distinct fuels for communicating energy. There are several types of gases exerted by vehicles, creating pollution in the atmosphere. In most of these cases, the fact of pollution is not considered by the agency, person, or governing body; they just focus on maximizing profit or on minimizing expenditure. It is time to think about minimizing pollution and to optimize the other objectives as much as possible, considering our valuable time in the system

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