A novel methodology for optimal control problems with application to coordinate supplier development in a two-echelon supply chain

سال انتشار: 1395
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 365

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شناسه ملی سند علمی:

IIEC13_249

تاریخ نمایه سازی: 14 شهریور 1396

چکیده مقاله:

This paper deals with coordinating supplier developmentprograms in a two-echelon supply chain which isformulated as a continuous time optimal control model.Drawing upon advanced ingredients of differential andPoisson geometry, a novel methodology is presented for theoptimal control problem by reformulating and convertingthe Hamilton-Jacobi-Bellman partial differential equation(PDE) to a reduced Hamiltonian system, so that the exactoptimal solution of the control problem can be obtained,instead of numerical estimation. The proposed methodologyis applied to the problem of coordinating supplierdevelopment in a supplier-manufacturer supply chain tofind the exact optimal solution. The analytical solution tothe problem is obtained based on the proposed method anda numerical example is presented to further validate itsapplicability and superiority. The proposed methodologycan be also applied to control problems in otheroptimization fields.

نویسندگان

Atefeh Hasan-Zadeh

Assistant Professor of Applied Mathematics, Fouman Faculty of Engineering, College of Engineering, University of Tehran, Iran

Mohamad Sadegh Sangari

Assistant Professor of Industrial Engineering, Fouman Faculty of Engineering, College of Engineering, University of Tehran, Iran