DocumentCode :
189507
Title :
Nonserial dynamic programming with applications in smart home appliances scheduling - Part I: Precedence graph simplification
Author :
Kin Cheong Sou ; Sandberg, Henrik ; Johansson, Karl H.
Author_Institution :
Dept. of Math. Sci., Chalmers Univ. of Technol., Gothenburg, Sweden
fYear :
2014
fDate :
24-27 June 2014
Firstpage :
1643
Lastpage :
1648
Abstract :
In this and a companion paper a dynamic programming (DP) approach to solve a smart home appliances scheduling problem is considered. The challenge with solving the scheduling problem is the coupling of decision variables due to some time precedence constraints. In general, the system of precedence constraints may contain redundant constraints that offer opportunities for simplification. This simplification is desirable for reducing the computation effort of the nonserial DP procedure presented in the companion paper (i.e., Part II). The current paper establishes the uniqueness of the maximum set of redundant constraints and its polynomial-time solvability with optimality guarantee, under the sufficient and necessary condition that the precedence graph (a graph representation of the precedence constraints system) does not contain any cycle with nonnegative weight. A numerical case study indicates the efficiency of the proposed simplification algorithm versus the brute-force enumerative search. Besides helping to reduce the computation effort in the DP procedure described in the companion paper, the algorithm in the current paper solves a generalization of a precedence graph simplification problem arising from application areas such as parallel computing.
Keywords :
domestic appliances; dynamic programming; graph theory; home automation; scheduling; brute-force enumerative search; graph representation; nonserial DP procedure; nonserial dynamic programming; optimality guarantee; parallel computing; polynomial-time solvability; precedence graph simplification problem; smart home appliances scheduling; Dynamic scheduling; Erbium; Home appliances; Load management; Polynomials; Smart homes; Time factors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
Type :
conf
DOI :
10.1109/ECC.2014.6862548
Filename :
6862548
Link To Document :
بازگشت