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Mathematics
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Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition
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Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 30 November 2025 | Viewed by 2730

Special Issue Editor

Prof. Dr. Yong He

E-Mail Website
Guest Editor
School of Economics and Management, Department of Logistics Management Engineering, Southeast University, Nanjing 211189, China
Interests: mathematical modeling; optimization; supply chain management; logistics; service science; production and operations management
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In recent years, as the world economy has grown to be increasingly service-oriented, such services have begun to play a more significant role in the supply chain. The application of advanced analytical methods, ranging from various programming models and stochastic optimization to game-theoretical models, is called upon to help service supply chain members to make better decisions. For this purpose, we invite you to submit your latest research in the area of service supply chains to this Special Issue, “Mathematical Modelling and Optimization of Service Supply Chain”, in the journal Mathematics. We are looking for innovative approaches to the modeling and optimization of service supply chains. In addition, high-quality papers are solicited to address both theoretical and practical issues in the service supply chain. Submissions are welcome that present new theoretical results, structural investigations, new models and algorithmic approaches, as well as empirical research on the service supply chain. Potential topics include, but are not limited to, sustainable tourism, medical care, education, e-commerce, logistics, and supply chain finance.

Prof. Dr. Yong He
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. Mathematics 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 2600 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

  • supply chain
  • service science
  • mathematical modeling
  • optimization
  • complex system
  • game theory
  • mathematical and numerical analysis of networks
  • operations management

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Related Special Issue

Published Papers (4 papers)

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Research

31 pages, 1384 KiB  
Article
Carbon Emission Reduction Decision-Making in an Online Freight Platform Service Supply Chain Under Carbon Trading Mechanism
by Sisi Ju and Peng Zhang
Mathematics 2025, 13(12), 1930; https://doi.org/10.3390/math13121930 - 10 Jun 2025
Abstract
Promoting carbon emission reduction in road freight transportation is important to achieve low-carbon development. The carbon trading mechanism is an effective market mechanism to promote carbon emission reduction. The digital and networked features of the online freight platform (OFP) service supply chain (SSC) [...] Read more.
Promoting carbon emission reduction in road freight transportation is important to achieve low-carbon development. The carbon trading mechanism is an effective market mechanism to promote carbon emission reduction. The digital and networked features of the online freight platform (OFP) service supply chain (SSC) not only help the platform reduce carbon emissions but also facilitate the government’s achievement of efficient and economic supervision of carbon emissions. Therefore, this paper proposes two types of carbon trading mechanism based on the OFP SSC to investigate the carbon emission reduction decision of the OFP, namely an absolute emission cap-based allocation (AC) model and an intensity-based allocation (IC) model. By using game theory, we then analyze the optimal solutions of the OFP SSC under the non-participation in carbon trading market (NC model), the AC model, and the IC model. By comparing these decisions, we explore the impact of the carbon trading mechanism on the OFP SSC. Results show the following: (1) Carbon trading mechanisms reduce OFP emissions, particularly under IC models with high free allowances. (2) High initial allowances and low service costs under the carbon trading mechanism enhance the OFP’s profit. (3) The carbon trading mechanism can reduce the carbon emissions of the road freight sector when initial allowances are sufficient or the off-platform trucker’s carbon emission coefficient is low. The study concludes that the IC model optimizes emission cuts while maintaining platform profitability. From a managerial perspective, the government should adopt dynamic allowance policies and incentivize the OFP’s participation through data integration. OFPs must balance network growth with low-carbon technology adoption to align commercial and environmental objectives. Full article
(This article belongs to the Special Issue Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition)
27 pages, 1410 KiB  
Article
Forward–Reverse Blockchain Traceability Strategy in the NEV Supply Chain Considering Consumer Green Preferences
by Yuling Sun and Yuanyuan Ying
Mathematics 2025, 13(11), 1804; https://doi.org/10.3390/math13111804 - 28 May 2025
Viewed by 176
Abstract
The rapid development of the new energy vehicle (NEV) industry has led to concerns about battery quality and the transparency of green recycling, causing uncertainty among consumers. Many firms adopt blockchain technology to solve this problem, but blockchain adoption will bring privacy leakage [...] Read more.
The rapid development of the new energy vehicle (NEV) industry has led to concerns about battery quality and the transparency of green recycling, causing uncertainty among consumers. Many firms adopt blockchain technology to solve this problem, but blockchain adoption will bring privacy leakage risk to consumers. A Stackelberg game model of a three stage NEV supply chain is constructed to examine the impact of adapting blockchain on strategic decisions of supply chain participants. We consider a setting in which a battery supplier provides batteries to a NEV manufacturer, and a third-party recycler recovers retired batteries for a NEV manufacturer. We explore the influence of consumers’ green recycling preferences on the decisions of NEV supply chain members in three scenarios: not adopting blockchain traceability (NB), adopting blockchain with forward traceability (FB), and adopting blockchain with forward–reverse traceability (DB). We find that NEV supply chain members are more likely to adopt forward–reverse traceability under certain conditions. Moreover, the adoption of blockchain drives the battery supplier and NEV manufacture to increase wholesale price and retail price, especially under forward–reverse traceability. In addition, when consumers exhibit strong preferences for green recycling, third-party recyclers are more willing to invest in blockchain-based recycling due to its ability to enhance the accuracy and credibility of recycling data. Full article
(This article belongs to the Special Issue Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition)
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27 pages, 7355 KiB  
Article
Research on Dynamic Decision-Making of Shared Supply Chain Considering Multi-Agent Altruistic Preferences
by Ran Gu, Yifan Zhao, Enhui Ding and Shigui Ma
Mathematics 2025, 13(9), 1507; https://doi.org/10.3390/math13091507 - 3 May 2025
Viewed by 345
Abstract
Shared supply chains (SSCs) represent a critical practice in the field of the sharing economy. With the aid of digital technologies, SSCs improve resource utilization through efficiently re-allocating and sharing. This paper develops a three-tier SSC model comprising a supplier, a retailer, and [...] Read more.
Shared supply chains (SSCs) represent a critical practice in the field of the sharing economy. With the aid of digital technologies, SSCs improve resource utilization through efficiently re-allocating and sharing. This paper develops a three-tier SSC model comprising a supplier, a retailer, and a sharing platform. The model is based on a Stackelberg dynamic framework and incorporates both resource sharing and altruistic behaviors. Our findings reveal that different altruistic modes significantly alter members’ decision logics: supplier altruism is manifested by lower supply prices and enhanced supply efforts; retailer altruism improves system supply efficiency through increased supply efforts; and the sharing platform, through resource integration and service optimization, comprehensively elevates overall SSC operations. Furthermore, numerical experimental analysis indicated that as altruistic parameters increased, overall system performance improved significantly. Notably, the marginal contribution of platform altruism surpassed that of both the supplier and the retailer, underscoring its pivotal role as a central hub in SSC systems. In addition, joint altruism can achieve a Pareto improvement for both individual members and overall system utility. This study provides an important theoretical basis for designing multi-agent collaborative mechanisms in SSCs. Full article
(This article belongs to the Special Issue Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition)
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29 pages, 4953 KiB  
Article
Optimal Markup Pricing Strategies in a Green Supply Chain under Different Power Structures
by Senbiao Li and Shuxiao Sun
Mathematics 2024, 12(13), 2054; https://doi.org/10.3390/math12132054 - 30 Jun 2024
Viewed by 1537
Abstract
Fixed-dollar and flexible markups are two markup pricing strategies commonly adopted in the retail industry, but their impacts on green behaviors of enterprises remain unknown. This paper investigates how the two markup pricing strategies influence firms’ managerial behaviors in a green supply chain, [...] Read more.
Fixed-dollar and flexible markups are two markup pricing strategies commonly adopted in the retail industry, but their impacts on green behaviors of enterprises remain unknown. This paper investigates how the two markup pricing strategies influence firms’ managerial behaviors in a green supply chain, considering three power structures: Manufacturer Stackelberg, Retailer Stackelberg, and Vertical Nash. We find that the retailer’s pricing strategy choice is jointly affected by power structures and consumer sensitivity to product green levels. Particularly under Manufacturer Stackelberg, the fixed-markup strategy makes the retailer earn a higher profit. However, under Vertical Nash, the retailer’s pricing strategy depends on consumer sensitivity to green levels. When consumers are less sensitive to green levels, a flexible-dollar markup strategy is more profitable for the retailer; otherwise, the fixed-markup strategy is better. Additionally, for the manufacturer, the green levels of the product and the firm profit are always higher when the retailer adopts a fixed-dollar markup strategy under Manufacturer Stackelberg and Vertical Nash. Interestingly, if the retailer adopts a flexible-dollar markup strategy, the manufacturer has the “late-mover advantage” only when consumer sensitivity to the green level is high. Furthermore, the supply chain achieves the highest profit when the manufacturer acts as the leader under the fixed markup strategy. Full article
(This article belongs to the Special Issue Mathematical Modelling and Optimization of Service Supply Chain, 2nd Edition)
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