Mathematical Modeling of Dynamic Supply Chains Subject to Demand Fluctuations

被引:1
作者
Davizon, Yasser A. [1 ]
Amillano-Cisneros, Jesus Mateo [2 ]
Leyva-Morales, Jose Belisario [3 ]
Smith, Eric D. [4 ]
Sanchez-Leal, Jaime [4 ]
Smith, Neale R. [5 ]
机构
[1] Div Estudios Posgrad Invest, Div Estudios Posgrad & Invest, Chihuahua, Mexico
[2] Univ Politecn Mar & Sierra, Tayoltita, Mexico
[3] Univ Bernardo Ohiggins, Ctr Invest Recursos Nat & Sustentabil CIRENYS, Santiago 8370993, Chile
[4] Univ Texas El Paso, Ind Mfg & Syst Engn, El Paso, TX USA
[5] Escuela Ingn & Ciencias, Tecnol Monterrey, Monterrey, Mexico
关键词
-dynamic supply chains; Lyapunov stability; infinite dimensional system; finite dimensional system; INVENTORY MANAGEMENT; SIMULATION; SYSTEMS; STRATEGIES;
D O I
10.48084/etasr.6491
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This research work aims to develop the mathematical modeling for a class of dynamic supply chains. Demand fluctuation corresponds to product demand volatility, which increases or decreases over a given time frame. Industrial engineering practitioners should consider the function that applied mathematical modeling plays in providing approximations of solutions that may be used in simulations and technical implementations at the strategic, tactical, and operational levels of an organization. In order to achieve proper results, two mathematical models are presented in this paper: In addition to a finite-dimensional system of Ordinary Differential Equations (ODEs) for coupled dynamic pricing, production rate, and inventory level, which properly integrates Lyapunov stability analysis of the dynamical system and simulations, there is an infinite-dimensional Partial Differential Equation (PDE) production level modeling system available. Infinite and finite-dimensional systems incorporate a dynamic pricing approach in the mathematical modeling. The main research goal of this work is to explore the dynamic nature of supply chains applying PDE and ODE methods, with proper analytical analysis and simulations for both systems.
引用
收藏
页码:12360 / 12365
页数:6
相关论文
共 40 条
[1]   Oscillator analogy for modelling the manufacturing systems dynamics [J].
Alexopoulos, K. ;
Papakostas, N. ;
Mourtzis, D. ;
Gogos, P. ;
Chryssolouris, G. .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2008, 46 (10) :2547-2563
[2]  
Armbruster D., 2012, DECISION POLICIES PR
[3]   The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions [J].
Bieniek, Milena .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2021, 291 (02) :411-420
[4]  
Hernández MLC, 2017, ENG TECHNOL APPL SCI, V7, P1546
[5]   Demand Fluctuations in the Ready-Mix Concrete Industry [J].
Collard-Wexler, Allan .
ECONOMETRICA, 2013, 81 (03) :1003-1037
[6]   Optimal Control Approaches to the Aggregate Production Planning Problem [J].
Davizon, Yasser A. ;
Martinez-Olvera, Cesar ;
Soto, Rogelio ;
Hinojosa, Carlos ;
Espino-Roman, Piero .
SUSTAINABILITY, 2015, 7 (12) :16324-16339
[7]   Demand Management Based on Model Predictive Control Techniques [J].
Davizon, Yasser A. ;
Soto, Rogelio ;
Rodriguez, Jose de J. ;
Rodriguez-Leal, Ernesto ;
Martinez-Olvera, Cesar ;
Hinojosa, Carlos .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[8]  
Deif Ahmed., 2022, HIGHTECH INNOVATION, V3, P1, DOI [https://doi.org/10.28991/HIJ-SP2022-03-01, DOI 10.28991/HIJ-SP2022-03-01]
[9]   CONTROL THEORY APPLICATIONS TO OPERATIONS SYSTEMS, SUPPLY CHAIN MANAGEMENT AND INDUSTRY 4.0 NETWORKS [J].
Dolgui, Alexandre ;
Ivanov, Dmitry ;
Sethi, Suresh ;
Sokolov, Boris .
IFAC PAPERSONLINE, 2018, 51 (11) :1536-1541
[10]   A Dynamic Supplier Selection and Inventory Management Model for a Serial Supply Chain with a Novel Supplier Price Break Scheme and Flexible Time Periods [J].
Duan, Lisha ;
Ventura, Jose A. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2019, 272 (03) :979-998