An application of control theory for imperfect production problem with carbon emission investment policy in interval environment

S Das, R Mondal, AA Shaikh, AK Bhunia - Journal of the Franklin Institute, 2022 - Elsevier
The theory of optimal control plays an important role to solve several real-life problems.
However, it is often seen that uncertainty is a major challenge in formulating the appropriate …

Efficient solutions for vector optimization problem on an extended interval vector space and its application to portfolio optimization

BRB Sahu, AK Bhurjee, P Kumar - Expert Systems with Applications, 2024 - Elsevier
In this paper, a generalized interval vector space is investigated and defined as an ordered
relation in the form of a bijective linear transformation of its onto a real vector space. The …

Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments

S Haque, AK Bhurjee, P Kumar - Systems Science & Control …, 2022 - Taylor & Francis
Transportation-based models are widely used to solve real-life problems such as supply
chain problems, inventory level problems, business models, management problems, etc …

Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance

P Roy, G Panda, D Qiu - Journal of Computational and Applied …, 2024 - Elsevier
In this article, gradient based descent line search scheme is proposed to solve interval
optimization problems under generalized Hukuhara differentiability. The innovation and …

Parametric approach for multi-objective enhanced interval linear fractional programming problem

M Patel, J Behera, P Kumar - Engineering Optimization, 2024 - Taylor & Francis
The design (decision) variables in the presented article of a multi-objective interval fractional
optimization problem based on a linear function are assumed to take the form of a closed …

Solving mean-VaR portfolio selection model with interval-typed random parameter using interval analysis

P Kumar, J Behera, AK Bhurjee - Opsearch, 2022 - Springer
Portfolio optimization encompasses the optimal assignment of limited capital to different
available financial assets to achieve a reasonable trade-off between profit and risk. This …

On the sensitivity of some portfolio optimization models using interval analysis

S Singh, G Panda - OPSEARCH, 2024 - Springer
In this paper, the performance of the optimal portfolio is studied when the portfolio
optimization model is sensitive towards the expected rate of return of the assets. It is justified …

Generalized Hukuhara Hadamard derivative of interval-valued functions and its applications to interval optimization

RS Chauhan, D Ghosh, QH Ansari - Soft Computing, 2024 - Springer
In this article, we study the notion of gH-Hadamard derivative for interval-valued functions
(IVFs) and apply it to solve interval optimization problems (IOPs). It is shown that the …

Interval Laplace transform and its application in production inventory

S Das, MS Rahman, AA Shaikh… - … Methods in the …, 2023 - Wiley Online Library
This work demonstrates the Laplace and inverse transforms of interval valued functions with
exaggerating its necessary properties under interval flexibility. After proposing the formal …

Calculus for interval valued function on real space

AK Bhurjee, P Kumar - AIP Conference Proceedings, 2022 - pubs.aip.org
In the classical optimization problem, parameters are generally estimated by using the
probability theory or fuzzy theory. In the past few decades, such parameters are also …