Uniqueness of solution of production control problem in a manufacturing system with degenerate demand

This paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand.We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with...

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Bibliographic Details
Main Author: Baten, Md Azizul
Format: Article
Published: Springer US 2011
Subjects:
Online Access:http://repo.uum.edu.my/10625/
http://dx.doi.org/10.1007/s10958-011-0459-7
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Summary:This paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand.We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with this problem.The optimal control is given by a solution to the corresponding HJB equation.