Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

An innovative method, namely, level maintain method, is proposed for finding all efficient solutions to a bottleneck-rough cost interval integer transportation problem in which the unit transportation cost, supply, and demand parameters are rough interval integers and the transportation time parameter is an interval integer. The solving procedure of the suggested method is expressed and explained with a numerical example. The level maintain method will dispense the necessary determined support to decision-makers when they are handling time-related logistic problems in rough nature. © 2018, Springer Nature Switzerland AG.

VIT Unitversity

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Trends in Mathematics Advances in Algebra and Analysis

On Bottleneck-Rough Cost Interval Integer Transportation Problems

A new method namely, the mid-width method, is proposed herein for finding the optimal interval solution to an interval biomedical transportation problem in which shipping cost, supply and demand parameters are real intervals. The mid-width method is an exact method and is developed on two independent transportation problems which are obtained from a fully integer transportation problem. A numerical example in the field of pharmaceutical logistics is presented for understanding the solution procedure of the suggested method. Furthermore, the proposed method is extended to fuzzy transportation problems. © 2018

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Informatics in Medicine Unlocked

An innovative exact method for solving fully interval integer transportation problems

Present investigations are centered on passive control of shock wave boundary layer interaction (SWBLI) for double cone and double wedge configurations with leading edge bluntness. This study seeks the differences in the flow physics of SWBLI in case of two dimensional (2D) and axisymmetric flow fields. In-house developed second order accurate finite-volume 2D axisymmetric compressible flow solver is employed for these studies. It is observed that the idea of leading edge bluntness offers reduction in separation bubble for 2D flow fields, whereas it leads to enhanced separation zone in case of axisymmetric flow fields. Relevant flow physics is well explored herein using wall pressure profile and relative thicknesses of boundary layer and entropy layer. Thicker entropy layer and stronger favorable pressure gradient are found responsible for the possibility of separation control in case of 2D flow fields. Thin entropy layer due to three dimensional relieving effect and its swallowing by the boundary layer are attributed for higher separation bubble size in case of cone with range of radii under consideration. © 2016 Elsevier Inc.

Department of Thermal and Energy Engineering

School of Mechanical Engineering

World University root node

International Journal of Heat and Fluid Flow

Analysis of dimensionality effect on shock wave boundary layer interaction in laminar hypersonic flows

In real world situations, different sources and destinations impose different restrictions on supply and demand respectively according to their availability and requirement because of the changing economic and environmental conditions. Keeping this in mind, a new method is proposed for finding an optimal solution to fuzzy transportation problems which is very different and useful from the other existing methods. Then, for finding all efficient solutions of a fuzzy transportation problem, the proposed algorithm is found to be conceptually simple and easy to implement. Finally, a numerical illustration has been presented to demonstrate how this algorithm can be used to obtain optimal solution for fuzzy transportation problems. © Research India Publications.

International Journal of Applied Engineering Research

A new approach for solving transportation problems in fuzzy nature

A new method namely, split and separation method based on zero point method [10] is proposed for finding an optimal solution for integer transportation problems where transportation cost, supply and demand are intervals. The proposed method is a rough variable method and also, it has been developed without using the midpoint and width of the interval in the objective function. The solution process is explained with a numerical example. The split and separation method can be served as an important tool for the decision makers when they are handling various types of logistic problems having rough variable parameters. © 2016 Academic Publications, Ltd.

International Journal of Pure and Applied Mathematics

Finding an optimal solution of the interval integer transportation problems with rough nature by split and separation method

International Journal of Computing and Optimization

A new approach for solving unbalanced fuzzy transportation problems

A new method namely, Slice-Sum method for solving fully rough integer interval transportation problems is proposed. The optimal values of decision rough variables and rough objective function for the problem obtained by the proposed method are rough integer intervals. Numerical examples in Pharmaceutical Logistics are presented to understand the solution procedure of the slice-sum method. © 2016, International Journal of Pharmacy and Technology. All rights reserved.

International Journal of Pharmacy and Technology

Fully rough integer interval transportation problems

A new method called modified zero suffix method is proposed for finding an optimal solution for transportation problems in single stage. The solution procedure is given with numerical examples. As this method is very easy to understand and apply, it will help the managers in logistics related issues by aiding them in the decision making process and providing an optimal solution in a simple and effective manner. © Research India Publications.

Global Journal of Pure and Applied Mathematics

Algorithmic approach for solving transportation problems

A new method is proposed for solving a two-stage transportation problem, which is based on zero point method [5]. This method is very simple, easy to understand and apply and also, provides more than one solution to the two-stage transportation problem. The proposed method helps the decision makers in the logistics related issues by aiding them in the decision making process and providing an optimal solution in a simple and effective manner. © 2011 Springer-Verlag Berlin Heidelberg.

Communications in Computer and Information Science Control, Computation and Information Systems

Solving Two Stage Transportation Problems

A new method namely, separation method based on zero point method [9] is proposed for finding an optimal solution for integer transportation problems where transportation cost, supply and demand are intervals. The proposed method is a nonfuzzy method and also, has been developed without using the midpoint and width of the interval in the objective function. The solution procedure is illustrated with a numerical example. The separation method can be served as an important tool for the decision makers when they are handling various types of logistic problems having interval parameters. Further, the proposed method is extended to fuzzy transportation problems.

Applied Mathematical Sciences

A new method for finding an optimal solution of fully interval integer transportation problems

A new class of functions namely, second order (b,F)-convex functions, which is an extension of (b,F)-convex functions and second order F-convex functions, is introduced. Sufficient optimality conditions for proper efficiency and second order mixed type duality theorems for multiobjective nonlinear programming problems are established under the assumptions of second order (b,F)-convexity on the functions involved.

International Journal of Mathematical Analysis

Second order (b,F)-convexity in multiobjective nonlinear programming

A new algorithm namely, fuzzy zero point method is proposed for finding a fuzzy optimal solution for a fuzzy transportation problem where the transportation cost, supply and demand are trapezoidal fuzzy numbers. The optimal solution for the fuzzy transportation problem by the fuzzy zero point method is a trapezoidal fuzzy number. The solution procedure is illustrated with numerical example.

A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems

A new class of functions namely, second order F-pseudolinear functions which is weaker than second order F-convex functions, is introduced. Sufficient optimality conditions for properly efficiency and mixed type duality theorems for multiobjective nonlinear programming problems are established under the assumptions of second order F-pseudolinearity and second order F-quasiconvexity.

Second order F-pseudolinearity in multiobjective nonlinear programming

In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included.