Title
Smart-Grid electricity allocation via strip packing with slicing
Abstract
One advantage of smart grids is that they can reduce the peak load by distributing electricity-demands over multiple short intervals. Finding a schedule that minimizes the peak load corresponds to a variant of a strip packing problem. Normally, for strip packing problems, a given set of axis-aligned rectangles must be packed into a fixed-width strip, and the goal is to minimize the height of the strip. The electricity-allocation application can be modelled as strip packing with slicing: each rectangle may be cut vertically into multiple slices and the slices may be packed into the strip as individual pieces. The stacking constraint forbids solutions in which a vertical line intersects two slices of the same rectangle. We give a fully polynomial time approximation scheme for this problem, as well as a practical polynomial time algorithm that slices each rectangle at most once and yields a solution of height at most 5/3 times the optimal height.
Year
DOI
Venue
2013
10.1007/978-3-642-40104-6_3
WADS
Keywords
Field
DocType
strip packing,strip packing problem,polynomial time approximation scheme,fixed-width strip,peak load corresponds,peak load,multiple slice,optimal height,axis-aligned rectangle,multiple short interval,smart-grid electricity allocation
Combinatorics,Packing problems,Smart grid,Electricity,Slicing,Rectangle,Time complexity,Polynomial-time approximation scheme,Mathematics,Stacking
Conference
Citations 
PageRank 
References 
7
0.62
16
Authors
8
Name
Order
Citations
PageRank
Soroush Alamdari1565.93
Therese Biedl2902106.36
Timothy M. Chan32033150.55
Elyot Grant4867.59
Krishnam Raju Jampani5373.15
Srinivasan Keshav63778761.32
Anna Lubiw775395.36
Vinayak Pathak8504.24