Advanced Mathematical Programming and Applications in Operations Research

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

Deadline for manuscript submissions: 20 July 2025 | Viewed by 417

Special Issue Editor


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Guest Editor
Department of Management Engineering, Dankook University, Yongin, Republic of Korea
Interests: mathematical programming; computational optimization; data-driven optimization

Special Issue Information

Dear Colleagues,

Advanced mathematical programming plays a critical role in solving complex decision-making and optimization challenges within operations research. This field encompasses a wide range of methods, including linear and nonlinear programming, integer programming, and stochastic models, that are used to address real-world problems across various sectors such as supply chain management, finance, and transportation.

Recent advancements in computational tools and algorithms have enabled the development of more sophisticated models that can handle larger datasets, dynamic environments, and multi-objective scenarios. In particular, hybrid approaches that combine mathematical programming techniques with data mining, machine learning, and heuristic methods have shown great promise in improving solution quality and decision efficiency.

We invite researchers and practitioners to submit original research that explores the development, application, and theoretical contributions of advanced mathematical programming in operations research. Submissions showcasing practical implementations and case studies that solve real-world problems are highly encouraged.

Prof. Dr. Sung Won Cho
Guest Editor

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Keywords

  • operations research
  • mathematical programming
  • computational optimization
  • data-driven optimization
  • multi-objective optimization
  • computational algorithms
  • supply chain management
  • machine learning
  • heuristic methods

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Published Papers (1 paper)

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Research

35 pages, 3367 KiB  
Article
Optimization of Tank Cleaning Station Locations and Task Assignments in Inland Waterway Networks: A Multi-Period MIP Approach
by Yanmeng Tao, Ying Yang, Haoran Li and Shuaian Wang
Mathematics 2025, 13(10), 1598; https://doi.org/10.3390/math13101598 - 13 May 2025
Viewed by 120
Abstract
Inland waterway transportation is critical for the movement of hazardous liquid cargoes. To prevent contamination when transporting different types of liquids, certain shipments necessitate tank cleaning at designated stations between tasks. This process often requires detours, which can decrease operational efficiency. This study [...] Read more.
Inland waterway transportation is critical for the movement of hazardous liquid cargoes. To prevent contamination when transporting different types of liquids, certain shipments necessitate tank cleaning at designated stations between tasks. This process often requires detours, which can decrease operational efficiency. This study addresses the Tank Cleaning Station Location and Cleaning Task Assignment (TCSL-CTA) problem, with the objective of minimizing total system costs, including the construction and operational costs of tank cleaning stations, as well as the detour costs incurred by ships visiting these stations. We formulate the problem as a mixed-integer programming (MIP) model and prove that it can be reformulated into a partially relaxed MIP model, preserving optimality while enhancing computational efficiency. We further analyze key mathematical properties, showing that the assignment constraint matrix is totally unimodular, enabling efficient relaxation, and that the objective function exhibits submodularity, reflecting diminishing returns in facility investment. A case study on the Yangtze River confirms the model’s effectiveness, where the optimized plan resulted in detour costs accounting for only 5.2% of the total CNY 4.23 billion system cost and achieved an 89.1% average station utilization. Managerial insights reveal that early construction and balanced capacity allocation significantly reduce detour costs. This study provides a practical framework for long-term tank cleaning infrastructure planning, contributing to cost-effective and sustainable inland waterway logistics. Full article
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