Simulation and Mathematical Programming Based Optimization

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

Deadline for manuscript submissions: closed (30 September 2024) | Viewed by 1818

Special Issue Editor


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Guest Editor
Faculty of Civil Engineering and Geosciences, Delft University of Technology, Delft, The Netherlands
Interests: simulation based optimization; IoT; machine learning; metaheuristics

Special Issue Information

Dear Colleagues,

Numerous industries, including manufacturing, transportation, and mining, have reaped substantial benefits from implementing various optimization strategies in their daily operations over the past several decades. mathematical programming techniques have always received special consideration in making optimal decisions for discrete processes. Most approaches to mathematical programming, such as linear programming and integer programming, are constrained by the number of decision variables and constraints. To create a manageable mathematical model, it is necessary to make simplifying assumptions. Researchers from around the globe have been developing new strategies to circumvent this limitation. This Special Issue seeks to compile original research papers that present the most recent advancements and applications of mathematical programming techniques in various fields. In addition, the aforementioned optimization methods have limitations such as stochastic or unknown input parameters in the real world, which may result in suboptimal or infeasible solutions. In these instances, optimization and simulation can be combined. This strategy involves running a deterministic optimization model and a stochastic simulation model in alternation. In the simulation-based optimization method, optimization serves as the search technique that identifies the alternative space of a simulation model in order to locate solutions that contribute to the desired system performance(s). I also intend to collect original research papers on the most recent advancements and applications of simulation-based optimization methods in this Special Issue.

Best,

Dr. Masoud Soleymani Shishvan
Guest Editor

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Keywords

  • mathematical programming
  • optimization
  • simulation-based optimization
  • discrete process simulation modeling
  • discrete processes
  • linear programming (LP)
  • integer programming (IP)
  • mix-integer linear programming (MIP)
  • goal programming
  • multiple-criteria decision-making methods
  • intelligent decision support systems
  • optimization techniques
  • production planning
  • scheduling
  • resource allocation
  • supply chain management
  • production management
  • risk management
  • decision analysis for sustainable production
  • group decision making
  • decision making
  • hybrid decision-making analysis

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Published Papers (1 paper)

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Research

16 pages, 997 KiB  
Article
Distributed Traffic Signal Optimization at V2X Intersections
by Li Zhang and Lei Zhang
Mathematics 2024, 12(5), 773; https://doi.org/10.3390/math12050773 - 5 Mar 2024
Cited by 1 | Viewed by 1468
Abstract
This paper presents our research on a traffic signal control system (TSCS) at V2X intersections. The overall objective of the study is to create an implementable TSCS. The specific objective of this paper is to investigate a distributed system towards implementation. The objective [...] Read more.
This paper presents our research on a traffic signal control system (TSCS) at V2X intersections. The overall objective of the study is to create an implementable TSCS. The specific objective of this paper is to investigate a distributed system towards implementation. The objective function of minimizing queue delay is formulated as the integral of queue lengths. The discrete queueing estimation is mixed with macro and micro traffic flow models. The novel proposed architecture alleviates the communication network bandwidth constraint by processing BSMs and computing queue lengths at the local intersection. In addition, a two-stage distributed system is designed to optimize offsets, splits, and cycle length simultaneously and in real time. The paper advances TSCS theories by contributing a novel analytic formulation of delay functions and their first degree of derivatives for a two-stage optimization model. The open-source traffic simulation engine Enhanced Transportation Flow Open-Source Microscopic Model (ETFOMM version 1.2) was selected as a simulation environment to develop, debug, and evaluate the models and the system. The control delay of the major direction, minor direction, and the total network were collected to assess the system performance. Compared with the optimized TSCS timing plan by the Virginia Department of Transportation, the system generated a 21% control delay reduction in the major direction and a 7% control delay reduction in the minor direction at just a 10% penetration rate of connected vehicles. Finally, the proposed distributed and centralized systems present similar performances in the case study. Full article
(This article belongs to the Special Issue Simulation and Mathematical Programming Based Optimization)
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