Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Evaluation of a MULTIFIT-based scheduling algorithm
Journal of Algorithms
An on-line scheduling heuristic with better worst case ratio than Graham's list scheduling
SIAM Journal on Computing
New algorithms for an ancient scheduling problem
Journal of Computer and System Sciences - Special issue on selected papers presented at the 24th annual ACM symposium on the theory of computing (STOC '92)
A better algorithm for an ancient scheduling problem
Journal of Algorithms
SIAM Journal on Computing
Better Bounds for Online Scheduling
SIAM Journal on Computing
Performance bounds of algorithms for scheduling advertisements on a web page
Journal of Scheduling
Approximating the Advertisement Placement Problem
Journal of Scheduling
Single Pattern Generating Heuristics for Pixel Advertisements
WISE '09 Proceedings of the 10th International Conference on Web Information Systems Engineering
Maximizing revenue with allocation of multiple advertisements on a Web banner
Computers and Operations Research
Expert Systems with Applications: An International Journal
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Free services to internet users are commonly available on many web sites e.g., Hotmail and Yahoo. For such sites, revenue generated from advertisements (hereafter also called 驴ads驴) placed on the web pages is critical for survival. An effective way to schedule ads on web pages to optimize certain performance measures is an important problem that these sites need to address.In this note, we report improved approximation algorithms for the following problem: ads from a set of n ads A = {Ai,...,An} are to be placed on a web page during a planning horizon that is divided into N time intervals. In each time interval, ads are shown in a rectangular space called a slot. An ad Ai is specified by its size si and frequency wi and is to be scheduled in exactly wi slots. We are required to find a schedule that minimizes the maximum fullness among all the slots, where the fullness of a slot is the sum of the sizes of ads scheduled in that slot. Our results include (i) the first online algorithm with a performance bound of $$2 - \frac{1}{N}$$ , and (ii) two offline algorithms with performance guarantees of $$1 + 1\frac{1}{\sqrt{2}}$$ and $$\frac{3}{2}$$]] , respectively. These bounds are significant improvements over those for previously known algorithms presented in Adler, Gibbons, and Matias (2002) and Dawande, Kumar, and Sriskandarajah (2003).