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Decisions in supply chain (SC) planning and scheduling are interconnected and depend a great deal on tackling uncertainty and dynamics of structures and processes in SCs that evolve over time. In this paper, we investigate the applicability of optimal control theory (OCT) to SC planning and scheduling based on the analysis of different streams in application of control theory to SCM and our own elaborations. Some drawbacks and missing links in the literature are pointed out. Several crucial application areas of control theory to SCM are discussed. We conclude that with the help of control theory, stability, adaptability and disaster-tolerance of SCs can be investigated in their fullness and consistency with operations planning and execution control within a conceptually and mathematically integrated framework. However, although SCs resemble control systems, they have some peculiarities which do not allow a direct application of control theoretic methods. The combined application of OCT and operations research enriches the possibilities to develop solutions for many practical problems of SC management (SCM). At the same time, mathematics of OCT requires domain-specific modifications to be consistent with discrete processes and decision-making in SCM. We argue for a co-operation between control experts and SC managers that has the potential to introduce more realism to the dynamic planning and models and improve SCM policies. Copyright © 2011 IFAC

Supply chain (SC) performance depends not only on the excellent planning and scheduling techniques but also on execution control. Recent studies indicated that the scheduling needs to be considered with regard to a real SC execution environment. Modern developments in information technologies such as RFID (Radio Frequency Identification) provide a constructive basis to incorporate the stages of SC scheduling and execution under the attracting adaptation methods. In this study, we investigate the issues of establishing adaptive feedbacks between SC scheduling and execution from the perspectives of modern control theory. In using optimal control for scheduling stage, feedback adaptive control for execution stage, and attainable sets for analysis of the achievement of the planned performance in a real execution environment, we pro-vide a mathematically unified framework for SC scheduling and execution control. The pro-posed framework makes it possible to analyse the correspondence of RFID functionalities and costs to the actual needs of execution control and support problem-oriented SC adaptation for the achievement of the desired performance. The developed framework can be applied as an analysis tool for the decision support regarding the designing and applying RFID infrastructures in supply chains. Copyright © 2011 IFAC