On relaxation of state constrained optimal control problem for a PDE-ODE model of supply chains | Zendy

Ciro D’Apice | Zendy; Peter I. Kogut | Zendy; Rosanna Manzo | Zendy

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On relaxation of state constrained optimal control problem for a PDE-ODE model of supply chains

Author(s) -

Ciro D’Apice,

Peter I. Kogut,

Rosanna Manzo

Publication year - 2014

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2014.9.501

Subject(s) - ode , queue , minification , relaxation (psychology) , mathematical optimization , optimal control , mathematics , computer science , state (computer science) , supply chain , algorithm , psychology , social psychology , programming language , political science , law

We discuss the optimal control problem (OCP) stated as the minimization of the queues\udand the difference between the effective outflow and a desired one for the continuous model of supply chains,\udconsisting of a PDE for the density of processed parts and an ODE for the queue buffer occupancy. The\udmain goal is to consider this problem with pointwise control and state constraints. Using the so-called Henig\uddelation, we propose the relaxation approach to characterize the solvability and regularity of the original\udproblem by analyzing the corresponding relaxed OCP

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