A NOVEL METHODOLOGY FOR OPTIMAL CONTROL PROBLEMS WITH APPLICATION TO COORDINATE SUPPLIER DEVELOPMENT IN A TWO-ECHELON SUPPLY CHAIN

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Hasan Zadeh Atefeh; Sangari Mohamad Sadegh

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Seminar Paper

Paper Information

Seminar: INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING
Year:2017 | Issue:13

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Title

A NOVEL METHODOLOGY FOR OPTIMAL CONTROL PROBLEMS WITH APPLICATION TO COORDINATE SUPPLIER DEVELOPMENT IN A TWO-ECHELON SUPPLY CHAIN

Author(s)

Hasan Zadeh Atefeh | Sangari Mohamad Sadegh

Keywords

OPTIMAL CONTROL PROBLEM

POISSON BRACKET

HAMILTONIAN SYSTEM

FIRST INTEGRAL

SUPPLIER DEVELOPMENT

SUPPLY CHAIN COORDINATION

Abstract

THIS PAPER DEALS WITH COORDINATING SUPPLIER DEVELOPMENT PROGRAMS IN A TWO-ECHELONSUPPLY CHAIN WHICH IS FORMULATED ASA CONTINUOUS TIMEOPTIMAL CONTROL MODEL. DRAWING UPON ADVANCED INGREDIENTS OF DIFFERENTIAL AND POISSON GEOMETRY, A NOVEL METHODOLOGY IS PRESENTED FOR THE OPTIMAL CONTROL PROBLEM BY REFORMULATING AND CONVERTING THE HAMILTON-JACOBI-BELLMAN PARTIAL DIFFERENTIAL EQUATION (PDE) TO A REDUCED HAMILTONIAN SYSTEM, SO THAT THE EXACT OPTIMAL SOLUTION OF THE CONTROL PROBLEM CAN BE OBTAINED, INSTEAD OF NUMERICAL ESTIMATION. THE PROPOSED METHODOLOGY IS APPLIED TO THE PROBLEM OF COORDINATING SUPPLIER DEVELOPMENT IN A SUPPLIER-MANUFACTURER SUPPLY CHAIN TO FIND THE EXACT OPTIMAL SOLUTION. THE ANALYTICAL SOLUTIONTO THE PROBLEMIS OBTAINED BASED ON THE PROPOSED METHOD ANDA NUMERICAL EXAMPLE IS PRESENTEDTO FURTHER VALIDATE ITSAPPLICABILITY AND SUPERIORITY. THE PROPOSED METHODOLOGY CAN BE ALSO APPLIED TO CONTROL PROBLEMSIN OTHER OPTIMIZATION FIELDS.

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APA: Copy

Hasan Zadeh, Atefeh, & Sangari, Mohamad Sadegh. (2017). A NOVEL METHODOLOGY FOR OPTIMAL CONTROL PROBLEMS WITH APPLICATION TO COORDINATE SUPPLIER DEVELOPMENT IN A TWO-ECHELON SUPPLY CHAIN. INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING. SID. https://sid.ir/paper/936598/en

Vancouver: Copy

Hasan Zadeh Atefeh, Sangari Mohamad Sadegh. A NOVEL METHODOLOGY FOR OPTIMAL CONTROL PROBLEMS WITH APPLICATION TO COORDINATE SUPPLIER DEVELOPMENT IN A TWO-ECHELON SUPPLY CHAIN. 2017. Available from: https://sid.ir/paper/936598/en

IEEE: Copy

Atefeh Hasan Zadeh, and Mohamad Sadegh Sangari, “A NOVEL METHODOLOGY FOR OPTIMAL CONTROL PROBLEMS WITH APPLICATION TO COORDINATE SUPPLIER DEVELOPMENT IN A TWO-ECHELON SUPPLY CHAIN,” presented at the INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING. 2017, [Online]. Available: https://sid.ir/paper/936598/en

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