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Advanced Planning, Scheduling and Routing Problems—Models, Methods, and Applications

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Transportation and Future Mobility".

Deadline for manuscript submissions: 30 September 2025 | Viewed by 354

Special Issue Editor

Special Issue Information

Dear Colleagues,

Advanced planning, scheduling  and routing problems are key to efficient distribution, transportation, manufacturing, and supply chain coordination. They assign transportation tasks to a transport fleet and sequence stops/points. The development of transportation methods has expanded the definition of a vehicle (AVG, UAV, FPV, EV, etc.). These problems have many real-life applications and come in many variants, depending on the type of task, the objective, the time frames, and the types of constraints that must be met. Outside of transportation, logistics, and supply chains, routing problems have less intuitive but still important applications, e.g., robotics and manufacturing. Planning, scheduling and routing problems are computationally challenging discrete optimization issues. Therefore, modern methods and tools for modeling and solving these problems are necessary, including hybrid algorithms, machine learning, constraint programming, adaptive large neighborhood search, data-driven optimization, AI-driven methods, etc.

This Special Issue, titled “Advanced Planning, Scheduling and Routing Problems—Models, Methods, and Applications”, invites authors to submit articles discussing and presenting solutions regarding models, methods, applications, and new challenges pertaining to planning, scheduling and routing problems.

Prof. Dr. Paweł Sitek
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. Applied Sciences is an international peer-reviewed open access semimonthly 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

  • planning and scheduling
  • optimization and algorithms
  • supply chains
  • urban logistics
  • last-mile delivery
  • autonomous vehicles
  • UAV fleet routing and scheduling
  • drone delivery systems
  • computer network routing
  • dynamic routing and scheduling
  • manufacturing
  • E-commerce logistics
  • AI-driven approach to modeling and solving
  • data-driven and robust optimization

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Published Papers (1 paper)

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Research

19 pages, 15300 KiB  
Article
Proactive Scheduling and Routing of MRP-Based Production with Constrained Resources
by Jarosław Wikarek and Paweł Sitek
Appl. Sci. 2025, 15(15), 8522; https://doi.org/10.3390/app15158522 - 31 Jul 2025
Viewed by 129
Abstract
This research addresses the challenges of proactive scheduling and routing in manufacturing systems governed by the Material Requirement Planning (MRP) method. Such systems often face capacity constraints, difficulties in resource balancing, and limited traceability of component requirements. The lack of seamless integration between [...] Read more.
This research addresses the challenges of proactive scheduling and routing in manufacturing systems governed by the Material Requirement Planning (MRP) method. Such systems often face capacity constraints, difficulties in resource balancing, and limited traceability of component requirements. The lack of seamless integration between customer orders and production tasks, combined with the manual and time-consuming nature of schedule adjustments, highlights the need for an automated and optimized scheduling method. We propose a novel optimization-based approach that leverages mixed-integer linear programming (MILP) combined with a proprietary procedure for reducing the size of the modeled problem to generate feasible and/or optimal production schedules. The model incorporates dynamic routing, partial resource utilization, limited additional resources (e.g., tools, workers), technological breaks, and time quantization. Key results include determining order feasibility, identifying unfulfilled order components, minimizing costs, shortening deadlines, and assessing feasibility in the absence of available resources. By automating the generation of data from MRP/ERP systems, constructing an optimization model, and exporting the results back to the MRP/ERP structure, this method improves decision-making and competes with expensive Advanced Planning and Scheduling (APS) systems. The proposed innovation solution—the integration of MILP-based optimization with the proprietary PT (data transformation) and PR (model-size reduction) procedures—not only increases operational efficiency but also enables demand source tracking and offers a scalable and economical alternative for modern production environments. Experimental results demonstrate significant reductions in production costs (up to 25%) and lead times (more than 50%). Full article
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