Nonserial Dynamic Programming with Applications in Smart Home Appliances Scheduling – Part II: Nonserial Dynamic Programming
Paper in proceeding, 2014

In this paper a dynamic programming (DP) solution approach to a nonconvex resource allocation problem (RAP) is presented. The problem in this paper generalizes the smart home appliances scheduling problem introduced in the companion paper (i.e., Part I). The computation difficulty with solving the RAP depends on the decision variable coupling, which can be described by an interaction graph. This paper proposes a DP algorithm to solve the RAP in the special setting where the interaction graph is a tree. This extends the applicability result of DP to RAP beyond the standard serial case where the interaction graph is a line. The extension of the result is achieved by establishing that even in the tree case DP computation effort is polynomial in the number of decision variables. For RAP in its general form, this paper proposes a modification to the nonserial DP procedure originally intro- duced by Bertele and Brioschi. Contrary to that of the previous method, the computation effort of the proposed method can be characterized by a well-known minimum feedback vertex set problem. Case studies on known examples indicate that both nonserial DP methods are similarly efficient.

Author

Kin Cheong Sou

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Henrik Sandberg

Royal Institute of Technology (KTH)

Karl Henrik Johansson

Royal Institute of Technology (KTH)

13th European Control Conference, ECC 2014, Strasbourg, France, 24-27 June 2014

1663-1668
978-3-9524269-1-3 (ISBN)

13th European Control Conference, ECC 2014
Strasbourg, France,

Areas of Advance

Information and Communication Technology

Energy

Subject Categories

Control Engineering

DOI

10.1109/ECC.2014.6862552

More information

Latest update

3/10/2022