Mathematical Models for Supply Chain Management

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

Deadline for manuscript submissions: 31 August 2024 | Viewed by 4265

Special Issue Editors


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Guest Editor
Department of Business Administration, Tamkang University, New Taipei City 251, Taiwan
Interests: sustainable supply chains; modelling for sustainable transportation and logistics; carbon emission technology
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Business Administration, Tamkang University, Taipei 251301, Taiwan
Interests: hospitality and tourism management; service management; inventory management; supply chain management
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The current Special Issue is devoted to the mathematical models for supply chain management, which involves viable practices of the overall supply chain operation and aims to develop actions that make the supply chain more effective and efficient. All kinds of supply chains can be optimized using mathematical tools, approaches, and modeling. This Special Issue seeks high-quality works focusing on state-of-the-art/potential tools and approaches in enabling the development of supply chain management. Novel applications from all fronts of sustainable supply chain management will also be considered. Topics include but are not limited to the following:

  • Demand forecasting and management;
  • Inventory management;
  • Vendor-managed inventory;
  • Supply chain integration;
  • Modeling for transportation and logistics;
  • Reverse logistics and circular economy;
  • Sustainable supply chain management;
  • Green supply chain management;
  • Supply chain performance measure.

Prof. Dr. Chih-Te Yang
Prof. Dr. Kun-Shan Wu
Guest Editors

Manuscript Submission Information

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Keywords

  • supply chain
  • inventory
  • vendor-managed inventory
  • supply chain performance
  • sustainable supply chain
  • logistics
  • forecasting
  • circular economy

Published Papers (4 papers)

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Research

23 pages, 2316 KiB  
Article
Integrated Profitability Evaluation for a Newsboy-Type Product in Own Brand Manufacturers
by Rung-Hung Su, Tse-Min Tseng and Chun Lin
Mathematics 2024, 12(4), 533; https://0-doi-org.brum.beds.ac.uk/10.3390/math12040533 - 08 Feb 2024
Viewed by 473
Abstract
Effective inventory management depends on accurate estimates of product profitability to formulate ordering and manufacturing strategies. The achievable capacity index (ACI) is a simple yet efficient approach to measuring the profitability of newsboy-type products with normally distributed demand, wherein profitability is presented as [...] Read more.
Effective inventory management depends on accurate estimates of product profitability to formulate ordering and manufacturing strategies. The achievable capacity index (ACI) is a simple yet efficient approach to measuring the profitability of newsboy-type products with normally distributed demand, wherein profitability is presented as the probability of achieving the target profit under the optimal ordering quantity. Unfortunately, the ACI is applicable only to retail stores with a single demand. In the current study, we addressed the issue of measuring the integrated profitability of newsboy-type products sold in multiple locations with independent demand levels, such as own-branding-and-manufacture (OBM) companies with multiple owned channels. We began by formulating profitability in accordance with multiple independent normal demands, and then developed an integrated ACI (IACI) to simplify expression. We also derived the statistical properties of the unbiased estimator to determine the true IACI in situations where demand patterns are unknown. Finally, we conducted hypothesis testing to determine whether the integrated profitability meets a stipulated minimum level. For convenience, we tabulated the critical values as a function of sample size, confidence level, the number of channels, and the stipulated minimum level. One can make decisions simply by estimating the IACI based on historical demand data from all channels and then looking up the critical value in the corresponding tables. Consequently, the proposed methods make it possible for OBM managers to address integrated profitability evaluation, which is effective in deciding the optimal timing to pull unprofitable items from the shelves by looking up generic tables. Furthermore, we also performed numerical and sensitivity analyses for a real-world case to illustrate the applicability and some managerial implications of the proposed scheme. Full article
(This article belongs to the Special Issue Mathematical Models for Supply Chain Management)
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19 pages, 2292 KiB  
Article
Optimal Lot-Sizing Decisions for a Remanufacturing Production System under Spare Parts Supply Disruption
by Nuramilawahida Mat Ropi, Hawa Hishamuddin, Dzuraidah Abd Wahab, Wakhid Ahmad Jauhari, Fatin Amrina A. Rashid, Nor Kamaliana Khamis, Intan Fadhlina Mohamed, Mohd Anas Mohd Sabri and Mohd Radzi Abu Mansor
Mathematics 2023, 11(19), 4053; https://0-doi-org.brum.beds.ac.uk/10.3390/math11194053 - 24 Sep 2023
Viewed by 990
Abstract
Remanufacturing is one of the ways forward for product recovery initiatives and for maintaining sufficient production flow to satisfy customer demand by providing high-quality goods with a combination of new and return parts through a circular economy. Recently, manufacturers have been progressively incorporating [...] Read more.
Remanufacturing is one of the ways forward for product recovery initiatives and for maintaining sufficient production flow to satisfy customer demand by providing high-quality goods with a combination of new and return parts through a circular economy. Recently, manufacturers have been progressively incorporating remanufacturing processes, making their supply chains vulnerable to disruptions. One of the main disruptions that occurs in remanufacturing systems is the shortage of spare parts supply, which results in unexpected delays in the remanufacturing process and could eventually result in a possible loss of sales. In the event of such potential disruptions, remanufacturing facilities must manage their supply chains in an effective and optimal manner such that the negative impact of disruptions to their business can be minimised. In this study, a two-stage production–inventory system was analysed by developing a cost-minimisation model that focuses on the recovery schedule after the occurrence of a disruption in sourcing spare parts for a remanufacturer’s production cycle. The developed model was solved using the branch-and-bound algorithm, where the experimental results demonstrated that the model provides effective solutions. Through numerical experiments, results indicated that the optimal recovery schedule and the number of recovery cycles are considerably dependent on the disruption time, lost sales and backorder costs. A sensitivity analysis showed that the lost sales option seems to be more effective than the backorder sales option in optimising the system’s overall cost due to unmet demand, which becomes lost sales when serviceable items are reduced, thereby shortening recovery time. Furthermore, a case study revealed that a manufacturer’s response to disruption is highly influenced by the spare part costs and overall recovery costs as well as the supplier’s readiness level. The proposed model could assist managers in deciding the optimal production strategy whilst providing interesting managerial insights into vital spare parts recovery issues when disruption strikes. Full article
(This article belongs to the Special Issue Mathematical Models for Supply Chain Management)
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18 pages, 1384 KiB  
Article
Optimizing Pricing, Pre-Sale Incentive, and Inventory Decisions with Advance Sales and Trade Credit under Carbon Tax Policy
by Mei-Chuan Cheng, Hui-Chiung Lo and Chih-Te Yang
Mathematics 2023, 11(11), 2534; https://0-doi-org.brum.beds.ac.uk/10.3390/math11112534 - 31 May 2023
Cited by 2 | Viewed by 766
Abstract
This paper aims to propose a comprehensive inventory model including pricing, pre-sale incentives, advance sales, trade credit, and carbon tax policies. The novelty of this study lies in its holistic approach to addressing these relevant and practical issues. The major purpose is to [...] Read more.
This paper aims to propose a comprehensive inventory model including pricing, pre-sale incentives, advance sales, trade credit, and carbon tax policies. The novelty of this study lies in its holistic approach to addressing these relevant and practical issues. The major purpose is to determine the optimal pricing, pre-order discount, and replenishment decisions to maximize the total profit under carbon tax policy. Through theoretical analysis, this study develops several theorems to demonstrate properties of optimal solutions and an easy-to-use algorithm to derive optimal solutions. Further, several numerical examples are provided to demonstrate the solution process for different scenarios and the effects of various parameters on optimal alternatives and solutions. This study provides companies management implications to address the challenges posed by the global movement to reduce carbon emissions while maintaining their profitability. Full article
(This article belongs to the Special Issue Mathematical Models for Supply Chain Management)
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34 pages, 604 KiB  
Article
An Optimization of Home Delivery Services in a Stochastic Modeling with Self and Compulsory Vacation Interruption
by Subramanian Selvakumar, Kathirvel Jeganathan, Krishnasamy Srinivasan, Neelamegam Anbazhagan, Soojeong Lee, Gyanendra Prasad Joshi and Ill Chul Doo
Mathematics 2023, 11(9), 2044; https://0-doi-org.brum.beds.ac.uk/10.3390/math11092044 - 25 Apr 2023
Cited by 3 | Viewed by 1151
Abstract
This study presents and discusses the home delivery services in stochastic queuing-inventory modeling (SQIM). This system consists of two servers: one server manages the inventory sales processes, and the other server provides home delivery services at the doorstep of customers. Based on the [...] Read more.
This study presents and discusses the home delivery services in stochastic queuing-inventory modeling (SQIM). This system consists of two servers: one server manages the inventory sales processes, and the other server provides home delivery services at the doorstep of customers. Based on the Bernoulli schedule, a customer served by the first server may opt for a home delivery service. If any customer chooses the home delivery option, he hands over the purchased item for home delivery and leaves the system immediately. Otherwise, he carries the purchased item and leaves the system. When the delivery server returns to the system after the last home delivery service and finds that there are no items available for delivery, he goes on vacation. Such a vacation of a delivery server is to be interrupted compulsorily or voluntarily, according to the prefixed threshold level. The replenishment process is executed due to the (s,Q) reordering policy. The unique solution of the stationary probability vector to the finite generator matrix is found using recursive substitution and the normalizing condition. The necessary and sufficient system performance measures and the expected total cost of the system are computed. The optimal expected total cost is obtained numerically for all the parameters and shown graphically. The influence of parameters on the expected number of items that need to be delivered, the probability that the delivery server is busy, and the expected rate at which the delivery server’s self and compulsory vacation interruptions are also discussed. Full article
(This article belongs to the Special Issue Mathematical Models for Supply Chain Management)
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