Matrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria

Singh, K.L.; Rajan, Sanjeev

doi:10.35940/ijitee.k2134.0981119

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…The use of fuzzy set theory provides a multivariate choice of the most efficient route option. It is proposed to use the linguistic component of the transportation project management model, which streamlines the use of special terms [7]. It is also proposed to use a systematic approach to project management, qualimetry methods and elements of the theory of the importance of criteria.…”

Section: Methods Of Researchmentioning

confidence: 99%

Development of methods to increase the efficiency of road transportation by international transport corridors

Prokudin

Chupaylenko

Lebid

et al. 2020

TAPR

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The object of research is the processes of managing the functioning of international transport corridors and projects for the transportation of goods, taking into account the assessment of the quality of transport services. There is a problem of assessing the quality of the international transport process taking into account such factors as the time of delivery of goods, the speed of movement of vehicles across the customs border and the tariff, which are determined by customer requirements. All these factors depend on the logistical support of transportation projects.The following methods were used to solve the tasks set in the work: the method of analysis of expert evaluations for the selection of project evaluation criteria; mathematical apparatus of decision theory; methods of simulation model for the assessment of the integral indicator of quality to achieve the optimal solution.Regularities of providing conditions of continuous, safe and convenient movement of traffic flows as a basis for creation of effective system of management of processes in a network of automobile international transport corridors are defined and the methodology of definition of efficiency of their functioning is developed.A method of forming a management system for the functioning and development of the network of international road transport corridors based on socio-economic forecasting in the form of a hierarchical structure of elements and their relationships has been developed. This made it possible to develop a model for forecasting the required amount of resources for road works on the basis of a certain demand from users of international road transport corridors.The study is aimed at obtaining new knowledge about the regularities of improving the efficiency of road transport along the routes of European international transport corridors, which can be used as a basis for the theory of determining its positive impact on the development of the economies of countries through which international transport corridors pass. In the course of the research, the approbation of the developed technique on a choice of the optimum project of transportation at the project-oriented enterprises of motor transport is carried out.

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Section: Methods Of Researchmentioning

confidence: 99%

Development of methods to increase the efficiency of road transportation by international transport corridors

Prokudin

Chupaylenko

Lebid

et al. 2020

TAPR

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“…Example 3 (Singh & Rajan, 2019). This example represents a multi-objective transportation problem with two objectives such as cost and time.…”

Section: Comparitive Analysis Of Examplementioning

confidence: 99%

The Multi-Objective Transportation Problem Solve with Geometric Mean and Penalty Methods

K.P.O.Niluminda

Ekanayake

2023

IJIAS

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The traditional (classical) Transportation Problem (TP) can be viewed as a specific case of the Linear Programming (LP) problem, as well as its models are used to find the best solution for the problem of predetermined how many units of a good or service need to be shipped from one source to multiple locations, with the goals being to reduce time or expense. Classical TP has one objective but when there are two or more objectives to be optimized for in a TP, the strategies used to optimize a single objective are inapplicable. The term “Multi-Objective Transportation Problem (MOTP)” refers to situations in which there are two or more objectives in a TP. The specific extension of the transportation problem is the MOTP. This work provided a novel alternative algorithm that uses geometric means along with the penalty technique to address MOTP. Specifically, analyzed data by comparing our method with numerical examples and presenting the results in a line graph. Our analysis shows that our approach yields better solutions than existing methods, demonstrating the novelty and effectiveness of our approach. The comparison with numerical examples provides a clear and intuitive way of presenting the superiority of our method, making it accessible to practitioners and researchers in the field. These findings have important implications for improving the accuracy and reliability of solutions to the problem at hand. Overall, our study contributes to the advancement of the field by providing a novel and effective method for solving the problem.

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Matrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria

Cited by 2 publications

References 2 publications

Development of methods to increase the efficiency of road transportation by international transport corridors

Development of methods to increase the efficiency of road transportation by international transport corridors

The Multi-Objective Transportation Problem Solve with Geometric Mean and Penalty Methods

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