scholarly journals Application of Fuzzy Optimization to Production-Distribution Planning in Supply Chain Management

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
S. Ariafar ◽  
S. Ahmed ◽  
I. A. Choudhury ◽  
M. A. Bakar
Keyword(s):  
Fuzzy Optimization ◽  
Transportation Cost ◽  
Realistic Model ◽  
Solution Procedure ◽  
Distribution Model ◽  
Distribution Centers ◽  
Time Value Of Money ◽  
Solution Approach ◽  
Production Distribution ◽  
Inventory Holding

A production-distribution model has been developed that not only allocates the limited available resources and equipment to produce the products over the time periods, but also determines the economical distributors for dispatching the products to the distribution centers or retailers. The model minimizes production, inventory holding, backordering, and transportation cost while considering the time value of money. Since uncertainty is an inevitable issue of any real-world production system, then to provide a realistic model, the concept of fuzzy sets has been applied in the proposed mathematical modeling. To illustrate and show the feasibility and validity of the model, a real case analysis, which is pertaining to a mineral water bottling production factory, has been used. The case has been solved using a three-step solution approach developed in this study. The results show the feasibility and validity of the mathematical model, and also the solution procedure.

scholarly journals A TYPE-2 FUZZY OPTIMIZATION MODEL FOR PROJECT PORTFOLIO SELECTION AND SCHEDULING INCORPORATING PROJECT INTERDEPENDENCY AND SPLITTING

2021 ◽  
Vol 27 (2) ◽  
pp. 493-510
Author(s):  
Samaneh Zolfaghari ◽  
Seyed Meysam Mousavi ◽  
Jurgita Antuchevičienė
Keyword(s):  
Portfolio Selection ◽  
Optimization Model ◽  
Fuzzy Optimization ◽  
Project Portfolio ◽  
Time Value Of Money ◽  
Solution Approach ◽  
Project Portfolio Selection ◽  
The Interest Rate ◽  
Interval Type

This paper presents a new optimization model and a new interval type-2 fuzzy solution approach for project portfolio selection and scheduling (PPSS) problem, in which split of projects and re-execution are allowable. Afterward, the approach is realized as a multi-objective optimization that maximizes total benefits of projects concerning economic concepts by considering the interest rate and time value of money and minimizes the tardiness value and total number of interruptions of chosen projects. Besides, budget and resources limitation, newfound relations are proposed to consider dependency relationships via a synergy among projects to solve PPSS problem hiring interval type-2 fuzzy sets. For validation of the model, numerical instances are provided and solved by a new extended procedure based on fuzzy optimistic and pessimistic viewpoints regarding several situations. In the end, their results are studied. The results show that it is more beneficial when projects are allowed to be split.

scholarly journals Development and Application of Multi Commodity Multi Location Integrated Model for Manufacturing Industry

2022 ◽  
Vol 10 (5) ◽  
pp. 32-40
Author(s):  
Adedeji Kasali Aderinmoye ◽  
◽  
Segbenu Joseph Zosu ◽  
Duduyemi, Oladejo Samuel ◽  
Oyetunji Elkanah Olaosebikan ◽  
...  
Keyword(s):  
Linear Programming ◽  
Manufacturing Industry ◽  
Transportation Cost ◽  
Integrated Model ◽  
Distribution Model ◽  
Production Distribution ◽  
The Difference

This paper presented the development and application of Linear Programming to the modeling of Multi-Commodity Multi-Location production-distribution model for manufacturing industry. The Manufacturing industry has two plants, three depots and twenty retailer’s axis in Lagos. The products are based on how they are packaged; Product 1(P1), Product 2(P2), Product 3(P3) and Product 4(P4). TORA software is used in analyzing the data obtained from the company. Comparing the optimal Multi-Commodity Multi-Location transportation cost of One trillion, Five Hundred And Thirty Billion And Four Hundred And Ninety Million Naira to existing transportation cost of truckload Three Trillion, Five Hundred And Forty Four Billion Naira, the difference is Two Trillion, Thirteen Billion And Five Hundred And Ten Million Naira which is Four Hundred And Two Billion And Seven Hundred And Two Million Naira annually resulting to 56.82 percent gain in profit.

scholarly journals The Inventory Routing Problem with Demand Moves

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Annelieke C. Baller ◽  
Said Dabia ◽  
Guy Desaulniers ◽  
Wout E. H. Dullaert
Keyword(s):  
Urban Areas ◽  
Research Literature ◽  
Inventory Routing ◽  
Routing Problem ◽  
Inventory Routing Problem ◽  
Solution Approach ◽  
Holding Cost ◽  
Inventory Holding Cost ◽  
Problem Instances ◽  
Inventory Holding

AbstractIn the Inventory Routing Problem, customer demand is satisfied from inventory which is replenished with capacitated vehicles. The objective is to minimize total routing and inventory holding cost over a time horizon. If the customers are located relatively close to each other, one has the opportunity to satisfy the demand of a customer by inventory stored at another nearby customer. In the optimization of the customer replenishments, this option can be included to lower total costs. This is for example the case for ATMs in urban areas where an ATM-user that wants to withdraw money could be redirected to another ATM. To the best of our knowledge, the possibility of redirecting end-users is new to the operations research literature and has not been implemented, but is being considered, in the industry. We formulate the Inventory Routing Problem with Demand Moves in which demand of a customer can (partially) be satisfied by the inventory of a nearby customer at a service cost depending on the quantity and the distance. We propose a branch-price-and-cut solution approach which is evaluated on problem instances from the literature. Cost improvements over the classical IRP of up to 10% are observed with average savings around 3%.

scholarly journals A two-phase solution approach for a manufacturing-distribution problem with rework, outsourcing, and multi-shipment policy

2020 ◽  
Vol 18 (4) ◽  
pp. 505-509
Author(s):  
Chiu Peter ◽  
Peng-Cheng Sung ◽  
Victoria Chiu
Keyword(s):  
Cost Minimization ◽  
Algebraic Approach ◽  
Solution Procedure ◽  
Batch Size ◽  
Real Problem ◽  
Two Phase ◽  
Solution Approach ◽  
Straightforward Solution ◽  
The Cost ◽  
Phase Solution

In a recent study, a manufacturing batch-size and end-product shipment problem with outsourcing, multi-shipment, and rework was investigated using mathematical modeling and derivatives in its solution procedure. This study demonstrates that a simplified two-phase algebraic approach can also solve the problem and decide the cost-minimization policies for batch-size and end-product shipments. Our proposed straightforward solution approach enables the practitioners in the production planning and controlling filed to comprehend and efficiently solve the best replenishing batch-size and shipment policies of this real problem.

scholarly journals Robust Design of Relief Distribution Networks Considering Uncertainty

2021 ◽  
Vol 13 (16) ◽  
pp. 9281
Author(s):  
Moddassir Khan Nayeem ◽  
Gyu M. Lee
Keyword(s):  
Disaster Response ◽  
Transportation Cost ◽  
Distribution Networks ◽  
Vital Role ◽  
Decision Makers ◽  
Distribution Centers ◽  
Proposed Model ◽  
Relief Distribution ◽  
Secondary Disasters ◽  
Post Disaster

In the post-disaster response phase, an efficient relief distribution strategy plays a vital role in alleviating suffering in disaster-stricken areas, which sometimes becomes challenging in humanitarian logistics. Most governments pre-located the relief goods at the pre-determined warehouses against possible disasters. Those goods must be shipped to the relief distribution centers (RDCs) to be further distributed to the victims in impacted areas upon the disasters. Secondary disasters can occur due to the first disaster and can occur relatively close in time and location, resulting in more suffering and making the relief distribution activities more challenging. The needs of additional RDCs must be determined as well in response to the secondary disasters. A robust optimization model is proposed to hedge against uncertainties in RDCs’ capacity and relief demand. Its objective is to minimize the sum of transportation cost, additional RDC cost, and shortage of commodities. The computational results are given to demonstrate the effectiveness of the proposed model. The sensitivity analysis gives an insight to the decision-makers.

CREDIBILITY-BASED FUZZY MATHEMATICAL PROGRAMMING MODEL FOR PORTFOLIO SELECTION UNDER UNCERTAINTY

2014 ◽  
Vol 13 (01) ◽  
pp. 101-135 ◽  
Author(s):  
MUKESH KUMAR MEHLAWAT ◽  
PANKAJ GUPTA
Keyword(s):  
Mathematical Programming ◽  
Portfolio Selection ◽  
Programming Model ◽  
Fuzzy Optimization ◽  
Chance Constrained Programming ◽  
Fuzzy Mathematical Programming ◽  
Mathematical Programming Model ◽  
Two Phase ◽  
Solution Approach ◽  
Practical Applications

In this paper, we develop a hybrid bi-objective credibility-based fuzzy mathematical programming model for portfolio selection under fuzzy environment. To deal with imprecise parameters, we use a hybrid credibility-based approach that combines the expected value and chance constrained programming techniques. The model simultaneously maximizes the portfolio return and minimizes the portfolio risk. We also consider an additional important criterion, namely, portfolio liquidity as a constraint in the model to make it better suited for practical applications. The proposed fuzzy optimization model is solved using a two-phase approach. An empirical study is included to demonstrate applicability of the proposed model and the solution approach in real-world applications of portfolio selection.

scholarly journals Optimization and Simulation for E-Commerce Supply Chain in the Internet of Things Environment

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Liwei Zhu
Keyword(s):  
Supply Chain ◽  
Internet Of Things ◽  
Product Information ◽  
Simulation Analysis ◽  
Parameter Analysis ◽  
Benefit Sharing ◽  
Current Status ◽  
Distribution Model ◽  
Distribution Centers ◽  
Supply Chain Optimization

The supply chain optimization of e-commerce is the optimization of the integrated linear management model for e-commerce enterprises based on manufacturers, suppliers, warehouses, distribution centers, and channels. The application of Internet of Things (IoT) technology to the optimization of e-commerce supply chain can help e-commerce enterprises to monitor each product in real time and manage logistics system reasonably; thus, the circulation process of e-commerce product in the supply chain can be monitored and shared, and the product information at each stage of the supply chain can be analyzed and predicted, helping e-commerce companies to estimate the future trends or accident probability. On the analysis of summarizing and analyzing previous works, this article expounded the research status and significance of e-commerce supply chain optimization, elaborated the development background, current status, and future challenges of the IoT technology, introduced the methods and principles of the node distribution model and constraint parameter analysis of logistics supply chain, constructed the IoT-based e-commerce supply chain linear and nonlinear model including competition and risk-control modules, performed the design of IoT-based e-commerce supply chain optimization, and discussed the solutions to procurement robustness optimization and management process optimization. The final simulation analysis showed that the proposed optimization model can effectively predict e-commerce product information in each stage of the supply chain; the IoT-based e-commerce supply chain optimization can enable each node company in the supply chain to improve the quality of information transmission and reduce the risk of information asymmetry in the process of e-commerce exchanges and can quickly and easily respond to the sudden changes of market and environment, thereby promoting them to cooperate with each other for establishing a supply chain network structure with closer business relationships, smoother logistics transportation, more reasonable benefit sharing, and stronger market competitiveness.

scholarly journals A Robust Fuzzy Optimization Model for Closed-Loop Supply Chain Networks Considering Sustainability

2019 ◽  
Vol 11 (20) ◽  
pp. 5726 ◽  
Author(s):  
Xin Zhang ◽  
Gang Zhao ◽  
Yingxiu Qi ◽  
Botang Li
Keyword(s):  
Supply Chain ◽  
Social Impact ◽  
Closed Loop ◽  
Cost Minimization ◽  
Fuzzy Optimization ◽  
Three Dimensions ◽  
Strategic Decision ◽  
Supply Chain Network ◽  
Closed Loop Supply Chain ◽  
Solution Approach

Supply chain network design (SCND) is an important strategic decision determining the structure of each entity in the supply chain, which has an important impact on the long-term development of a company. An efficient and effective supply chain network is of vital importance for improving customer satisfaction, optimizing the allocation of resources, and increasing profitability. The environmental concerns and social responsibility awareness of the whole society have spurred researchers and managers to design sustainable supply chains (SSCs) integrating the economic, environmental, and social factors. In addition, the innate uncertainty of the SCND problem requires an integrated method to cope. In this regard, this study develops a multi-echelon multi-objective robust fuzzy closed-loop supply chain network (CLSCN) design model under uncertainty including all three dimensions of sustainability. This model considers the total cost minimization, carbon caps, and social impact maximization concurrently to realize supply chain sustainability, and is able to make a balance between the conflicting multiple objectives. Meanwhile, the uncertainty of the parameters is divided into two categories and addressed with two approaches: the first category is missed working days related to social impact, which is solved by the fuzzy membership theory; the second category is the demand and remanufacturing rate, which is settled by a robust optimization method. To validate the ability and applicability of the model and solution approach, a numerical example is conducted and solved using ILOG CPLEX. The result shows that the supply chain network structure and the value of the optimization objectives will change when considering sustainability and different degrees of uncertainty. This will enable supply chain managers to reduce the environmental impact and enhance the social benefits of their supply chain activities, and design a more stable supply chain to better cope with the influence of uncertainty.

scholarly journals A new solution approach to the Serre equations

2020 ◽  
Author(s):  
T S Jang
Keyword(s):  
Solitary Wave ◽  
Vertical Wall ◽  
High Amplitude ◽  
Solution Procedure ◽  
Linear Wave ◽  
Linear Interaction ◽  
Solution Approach ◽  
Non Linear ◽  
Vertical Walls ◽  
Wave Phenomena

Abstract This paper concerns constructing a semi-analytic solution procedure for integrating the fully non-linear Serre equations (or 1D Green–Naghdi equations for constant water depth). The validity of the solution procedure is checked by investigating a moving solitary wave for which the analytical solution is known. The semi-analytic procedure constructed in this study is confirmed to be good at observing non-linear wave phenomena of the collision of a sufficiently high-amplitude solitary wave with a vertical wall. The simulated results are in a good agreement with data of other authors. Further, the procedure simulates the non-linear interaction of four solitary waves, which enables us to investigate the repeated reflection of a single solitary wave between two vertical walls.

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