Mathematical Optimization and Decision Making

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: closed (31 March 2024) | Viewed by 1765

Special Issue Editor


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Guest Editor
Department of Industrial and Systems Engineering, Oakland University, Rochester, MI 48309, USA
Interests: engineering design; decision based design; mathematical optimization; reliability engineering; systems engineering; decision analysis and sustainability
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Special Issue Information

Dear Colleagues,

Mathematical optimization and decision making is a rapidly growing field of research that aims to develop novel mathematical models, algorithms, computational methods, as well as analysis frameworks to support decision-making processes prevalent in many application areas. On the mathematical optimization side, this topic covers a wide range of optimization techniques, both classical and heuristic, for linear, nonlinear, convex, stochastic, and combinatorial optimization problems. On the decision-making side, it covers areas such as decision trees, game theory, and multi-criteria decision analysis as well as various non-classical decision-making methods, including quantum-inspired methods. The main objective of this research field is to improve the efficiency, effectiveness, and quality of decision-making processes encountered in complex systems such as transportation, energy, manufacturing, healthcare, finance, and engineering.

Dr. Vijitashwa Pandey
Guest Editor

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Keywords

  • optimization algorithms
  • decision-making models
  • multi-objective optimization
  • computational optimization
  • game theory
  • stochastic programming
  • network optimization
  • linear programming
  • integer programming
  • nonlinear programming
  • convex optimization
  • combinatorial optimization
  • simulation-based optimization
  • global optimization
  • optimization under uncertainty
  • data-driven optimization

Published Papers (2 papers)

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Research

13 pages, 2879 KiB  
Article
Investigating the Effect of Organization Structure and Cognitive Profiles on Engineering Team Performance Using Agent-Based Models and Graph Theory
by Judson Estes and Vijitashwa Pandey
Mathematics 2023, 11(21), 4533; https://doi.org/10.3390/math11214533 - 03 Nov 2023
Viewed by 558
Abstract
In large engineering firms, most design projects are undertaken by teams of individuals. From the perspective of senior management, the overall project team must maintain scheduling, investment and return on the investment discipline while solving technical problems. Various tools exist in systems engineering [...] Read more.
In large engineering firms, most design projects are undertaken by teams of individuals. From the perspective of senior management, the overall project team must maintain scheduling, investment and return on the investment discipline while solving technical problems. Various tools exist in systems engineering (SE) that can reflect the value provided by the resources invested; however, the involvement of human decision makers complicates most types of analyses. A critical ingredient in this challenge is the interplay of the cognitive attributes of team members and the relationships that exist between them. This aspect has not been fully addressed in the literature, rendering many studies relatively oblivious to team dynamics and organization structures. To this end, we propose a framework to incorporate organization structure using a graph representation. This is then used to inform an agent-based model where team dynamics are simulated to understand the effects of cognitive attributes and team member relationships. In this work, we aim to understand team dynamics in the context of product development. The organization is modeled using the Barabasi–Albert scale-free network. The information regarding member relationships can be acquired through graph metrics such as the various centrality measures associated with the members and the distance between them. This is then used to model the dynamics of the members when they work on a technical problem, in conjunction with their other cognitive attributes. We present some results and discuss avenues for future work. Full article
(This article belongs to the Special Issue Mathematical Optimization and Decision Making)
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21 pages, 2650 KiB  
Article
A Methodology for Planning City Logistics Concepts Based on City-Dry Port Micro-Consolidation Centres
by Milovan Kovač, Snežana Tadić, Mladen Krstić and Miloš Veljović
Mathematics 2023, 11(15), 3347; https://doi.org/10.3390/math11153347 - 31 Jul 2023
Cited by 3 | Viewed by 896
Abstract
The purpose of this study is to conceptualize a novel idea of potentially sustainable city logistics concepts—the development of urban consolidation centers (UCCs) on riverbanks and the establishment of city-dry port (DP) micro-consolidation centers (MCCs) as their displaced subsystems within the delivery zone. [...] Read more.
The purpose of this study is to conceptualize a novel idea of potentially sustainable city logistics concepts—the development of urban consolidation centers (UCCs) on riverbanks and the establishment of city-dry port (DP) micro-consolidation centers (MCCs) as their displaced subsystems within the delivery zone. The concept enables the application of river transportation in delivering goods to the UCC, where the modal shift to electric delivery vehicles takes place for delivering goods to city-DP MCCs. In the final delivery phase (from city-DP MCCs to flow generators), smaller eco-vehicles are utilized. An innovative methodology for the planning and selection of the most sustainable concept variant is developed. The methodology combines mathematical programming and the axial-distance-based aggregated measurement (ADAM) multi-criteria decision-making (MCDM) method. The application of the defined approach is demonstrated in a case study inspired by Belgrade, Serbia. The theoretical contribution of this study is in demonstrating how a wide set of potentially viable city logistics concepts can be defined, starting from an initial idea (city-DP MCC). The practical contribution lies in developing a robust methodology that considers all relevant tactical and operational-level planning questions and takes into account qualitative and quantitative criteria in evaluating different concept variants. Full article
(This article belongs to the Special Issue Mathematical Optimization and Decision Making)
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