Integrated supply chain planning based on a combined application of operations research and optimal control

In operations research (OR), remarkable advancements have been achieved in the domain of supply chain (SC) planning for the last two decades. In recent years, the works on SCs have been broadened to integrate production and transportation planning along with covering the SC dynamics and execution control. Based on a combination of fundamental results of the modern optimal program control (OPC) theory with the optimization methods of OR, an original integrated model of production and transportation planning in the SC is developed. It is shown explicitly how to distribute static and dynamics variables and constraints among the OR and OPC models and interconnect static elements in optimization linear programming model with corresponding dynamic elements in OPC model. This makes it possible to integrate SC production and transportation planning and execution taking into account process non-stationarity caused by structure dynamics. In doing so, the developed framework contributes to the advancing decision-making support for supply chain management (SCM). Conventionally isolated SCM problems may be considered from a different viewpoint and new integrated problems may be revealed, stated and solved due to the mutual enriching of OR and OPC techniques.

[1]  L. T. Fan,et al.  OPTIMAL PRODUCTION PLANNING AND INVENTORY CONTROL , 1970 .

[2]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[3]  José Miguel Laínez,et al.  Capturing dynamics in integrated supply chain management , 2008, Comput. Chem. Eng..

[4]  John L. Casti,et al.  Connectivity, Complexity, and Catastrophe in Large-Scale Systems , 1980 .

[5]  Konstantin Kogan,et al.  Scheduling: Control-Based Theory and Polynomial-Time Algorithms , 2000 .

[6]  Alexandre Dolgui,et al.  Supply Chain Engineering , 2010 .

[7]  Marc Goetschalckx,et al.  Strategic production-distribution models: A critical review with emphasis on global supply chain models , 1997 .

[8]  Jerry C. Wei,et al.  Responding to schedule changes in build‐to‐order supply chains , 2005 .

[9]  Jean-Marie Proth,et al.  Scheduling in supply chain environment , 2007, Eur. J. Oper. Res..

[10]  Martin Christopher,et al.  Logistics and supply chain management : creating value-adding networks , 2005 .

[11]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[12]  Boris V. Sokolov,et al.  Dynamic supply chain scheduling , 2012, J. Sched..

[13]  Michael Pinedo,et al.  Planning and Scheduling in Supply Chains: An Overview of Issues in Practice , 2004 .

[14]  Z. Shen.  Integrated supply chain design models: a survey and future research directions , 2007 .

[15]  M. Ortega,et al.  Control theory applications to the production–inventory problem: a review , 2004 .

[16]  Hermann Kühnle,et al.  A system of models contribution to production network (PN) theory , 2007, J. Intell. Manuf..

[17]  Alan Scheller-Wolf,et al.  Optimal Control of Serial Inventory Systems with Fixed Replenishment Intervals , 2007, Oper. Res..

[18]  Boris V. Sokolov,et al.  Intelligent planning and control of manufacturing supply chains in virtual enterprises , 2007, Int. J. Manuf. Technol. Manag..

[19]  S. Disney,et al.  On the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains , 2006 .

[20]  Dmitry Ivanov,et al.  DIMA—A research methodology for comprehensive multi-disciplinary modeling of production and logistics networks , 2009 .

[21]  Philip M. Kaminsky,et al.  Designing and managing the supply chain : concepts, strategies, and case studies , 2007 .

[22]  Konstantin Kogan,et al.  Maximum principle-based methods for production scheduling with partially sequence-dependent setups , 1997 .

[23]  Chandra Lalwani,et al.  Controllable, observable and stable state space representations of a generalized order-up-to policy , 2006 .

[24]  Dmitry Ivanov,et al.  An adaptive framework for aligning (re)planning decisions on supply chain strategy, design, tactics, and operations , 2010 .

[25]  E B Lee,et al.  Foundations of optimal control theory , 1967 .

[26]  Ignacio E. Grossmann,et al.  Dynamic modeling and classical control theory for supply chain management , 2000 .

[27]  C. Gaimon.  Simultaneous and dynamic price, production, inventory and capacity decisions , 1988 .

[28]  Ulrich W. Thonemann,et al.  Production , Manufacturing and Logistics Analyzing the effect of the inventory policy on order and inventory variability with linear control theory , 2006 .

[29]  Yasuhiko Takahara,et al.  General Systems Theory: Mathematical Foundations , 1975 .

[30]  R. Hartl,et al.  Optimal pricing and production in an inventory model , 1985 .

[31]  Terry P. Harrison.  Principles for the Strategic Design of Supply Chains , 2004 .

[32]  D. Simchi-Levi.  Designing And Managing The Supply Chain , 2007 .

[33]  A. M. Geoffrion,et al.  Multicommodity Distribution System Design by Benders Decomposition , 1974 .

[34]  Christos D. Tarantilis,et al.  Dynamic modeling and control of supply chain systems: A review , 2008, Comput. Oper. Res..

[35]  Janis Grabis,et al.  Supply chain configuration , 2007 .

[36]  Boris V. Sokolov,et al.  A multi-structural framework for adaptive supply chain planning and operations control with structure dynamics considerations , 2010, Eur. J. Oper. Res..

[37]  Dmitry Ivanov,et al.  Adaptive Supply Chain Management , 2009 .

[38]  G. Thompson,et al.  Optimal Control Theory: Applications to Management Science and Economics , 2000 .

[39]  David Simchi-Levi,et al.  Handbook of Quantitative Supply Chain Analysis , 2004 .

[40]  F. L. Chernousko,et al.  On differential games of evasion from many pursuers , 1985 .

[41]  Richard E. Crandall,et al.  Principles of Supply Chain Management , 2009 .

[42]  W. Fleming,et al.  Deterministic and Stochastic Optimal Control , 1975 .