Title
On the Feasibility of Linear Discrete-Time Systems of the Green Scheduling Problem
Abstract
Peak power consumption of buildings in large facilities like hospitals and universities becomes a big issue because peak prices are much higher than normal rates. During a power demand surge an automated power controller of a building may need to schedule ON and OFF different environment actuators such as heaters and air quality control while maintaining the state variables such as temperature or air quality of any room within comfortable ranges. The green scheduling problem asks whether a scheduling policy is possible for a system and what is the necessary and sufficient condition for systems to be feasible. In this paper we study the feasibility of the green scheduling problem for HVAC(Heating, Ventilating, and Air Conditioning) systems which are approximated by a discrete-time model with constant increasing and decreasing rates of the state variables. We first investigate the systems consisting of two tasks and find the analytical form of the necessary and sufficient conditions for such systems to be feasible under certain assumptions. Then we present our algorithmic solution for general systems of more than 2 tasks. Given the increasing and decreasing rates of the tasks, our algorithm returns a subset of the state space such that the system is feasible if and only if the initial state is in this subset. With the knowledge of that subset, a scheduling policy can be computed on the fly as the system runs, with the flexibility to add power-saving, priority-based or fair sub-policies.
Year
DOI
Venue
2011
10.1109/RTSS.2011.34
RTSS
Keywords
Field
DocType
general system,green scheduling,scheduling,power consumption,linear discrete-time systems,green scheduling problem,sufficient condition,automated power controller,state space,power demand surge,peak power consumption,discrete time model,scheduling policy,discrete time systems,linear discrete time systems,feasibility,state variable,initial state,air quality,discrete time,scheduling problem
Job shop scheduling,Fair-share scheduling,Scheduling (computing),Computer science,HVAC,Real-time computing,Rate-monotonic scheduling,State variable,Dynamic priority scheduling,State space
Conference
ISSN
ISBN
Citations 
1052-8725
978-1-4577-2000-0
5
PageRank 
References 
Authors
0.69
8
7
Name
Order
Citations
PageRank
Zheng Li19422.56
Pei-Chi Huang2649.92
Aloysius K. Mok390978.90
Truong Nghiem410810.14
Madhur Behl57512.80
George Pappas66632540.42
Rahul Mangharam794384.35