Optimization, Operations Research and Statistical Analysis

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 31 May 2025 | Viewed by 827

Special Issue Editor


E-Mail Website
Guest Editor
Department of Applied Statistics, Operations Research and Quality, Center for Research in Production Management and Engineering, Universitat Politècnica de València, 03801 Alcoy, Spain
Interests: operations engineering; multi-criteria optimization; decision sciences; green vehicle routing problems; portfolio optimization; computer science; conditional value-at-risk; logistics; supply chain; cybersecurity
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Operations research aims to provide a framework to model complex decision-making problems that arise in engineering, business and analytics, and the mathematical sciences, and it investigates methods for analyzing and solving them. Optimization focuses on finding the minimum (or maximum) value of an objective function subject to constraints that represent user preferences and/or limitations imposed by the nature of the question at hand. Statistics is a mathematical body of science that pertains to the collection, analysis, interpretation or explanation, and presentation of data.

Optimization and operations research are both widely used in statistical analysis. They enable organizations to tackle complex issues by identifying the problems, examining all available alternatives, predicting outcomes carefully, and estimating risks. As a result, this improves daily operations, enhances communication and information sharing, reduces waste, increases productivity and efficiency, and provides higher customer satisfaction.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but not limited to) the following:

  • Operations research;
  • Probability and statistical methods;
  • Constraint and unconstraint optimization;
  • Linear and non-linear optimization;
  • Mathematical optimization models;
  • Linear programming;
  • Mathematical modeling;
  • Statistical extreme value theory;
  • Stochastic models;
  • Multivariate dependence modeling;
  • Bayesian inference;
  • Statistical analysis;
  • Statistical regression analysis;
  • Statistical testing and significance;
  • Time-series analysis with application;
  • Statistical methods.

Overall, this Special Issue provides a valuable resource for researchers and practitioners who are interested in the latest developments in optimization, operations research, and statistical analysis and applications. The articles in this Special Issue showcase the importance of optimization, operations research and statistical analysis in advancing scientific research and solving real-world problems.

I look forward to receiving your contributions.

Dr. Elena Perez-Bernabeu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • statistical analysis
  • hypothesis testing
  • big data analysis
  • time-series analysis
  • operations research
  • mathematical modeling
  • optimization

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

45 pages, 512 KiB  
Article
Lagrange Duality and Saddle-Point Optimality Conditions for Nonsmooth Interval-Valued Multiobjective Semi-Infinite Programming Problems with Vanishing Constraints
by Balendu Bhooshan Upadhyay, Shivani Sain and Ioan Stancu-Minasian
Axioms 2024, 13(9), 573; https://doi.org/10.3390/axioms13090573 - 23 Aug 2024
Viewed by 465
Abstract
This article deals with a class of nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints (NIMSIPVC). We introduce the VC-Abadie constraint qualification (VC-ACQ) for NIMSIPVC and employ it to establish Karush–Kuhn–Tucker (KKT)-type necessary optimality conditions for the considered problem. Regarding NIMSIPVC, we [...] Read more.
This article deals with a class of nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints (NIMSIPVC). We introduce the VC-Abadie constraint qualification (VC-ACQ) for NIMSIPVC and employ it to establish Karush–Kuhn–Tucker (KKT)-type necessary optimality conditions for the considered problem. Regarding NIMSIPVC, we formulate interval-valued weak vector, as well as interval-valued vector Lagrange-type dual and scalarized Lagrange-type dual problems. Subsequently, we establish the weak, strong, and converse duality results relating the primal problem NIMSIPVC and the corresponding dual problems. Moreover, we introduce the notion of saddle points for the interval-valued vector Lagrangian and scalarized Lagrangian of NIMSIPVC. Furthermore, we derive the saddle-point optimality criteria for NIMSIPVC by establishing the relationships between the solutions of NIMSIPVC and the saddle points of the corresponding Lagrangians of NIMSIPVC, under convexity assumptions. Non-trivial illustrative examples are provided to demonstrate the validity of the established results. The results presented in this paper extend the corresponding results derived in the existing literature from smooth to nonsmooth optimization problems, and we further generalize them for interval-valued multiobjective semi-infinite programming problems with vanishing constraints. Full article
(This article belongs to the Special Issue Optimization, Operations Research and Statistical Analysis)
Back to TopTop