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

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.

Fuzzy-rough multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station

“…Here we include carbon emission as an important fact of TP to minimize the rate of air pollution/CO 2 emission during transportation. Many researchers have studied on carbon emission in TP, some of them [4,5,20,34] are delineated here. Das and Roy [4] studied the effect of carbon emission, treat as variable on a multi-objective problem with neutrosophic field and p-facility location TP.…”

“…Also they discussed dwell time for the problem of transportation-location in the presence of type-2 fuzzy uncertainty. Maity et al [20] represented time variant for sustainable development by minimizing pollution factor of TP with interval valued in multi-objective scenario. Sengupta et al [34] considered carbon emission on a STP and solved by Gamma type-2 defuzzification approach.…”

“…Literature survey revealed that many authors (cf. [1,4,11,19,20,30,34,40]) did not consider extra constraints relating with TP. [29] proposed MOFCTP with conveyance constraints, product blending constraints in intuitionistic fuzzy uncertainty, but did not analyze the case of low vehicle capacity as truck load constraints and the type-II fixed-charge which depend on transported items and vehicle capacity.…”

An Integrated Multi-Criteria and Multi-Objective Optimization Approach for Establishing the Transport Plan of Intercity Trains

“…The authors developed heuristic solution methods to solve the model. A multi-objective transport problem was formulated in [29], where the authors optimized transport time and the cost function. An optimal (compromise) solution was determined that minimizes the total time without considering the objective function of time in the model, and also sustainable development was considered by minimizing the pollution factor.…”

“…It may be concluded that the following problems were studied: railway route planning, design of transfer stations, supply chain planning, passenger train service, stop planning, train schedule planning, train routing, and transport planning. Most authors consider the main criteria as the operating cost and time travel, which has a great importance for developing the transport plan of the trains, [11,15,19,[21][22][23][24]29]. Some authors also investigated the criteria of transfer interval time [7], delayed times [13], social risk [17], transport risk [18], total energy consumption [20], damage cost [22], functionality and upgradeability, number of overtaking [25], compliance with standards [26], and the pollution factor [29].…”