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Broadcast Scheduling: Minimizing Average Response Time

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Encyclopedia of Algorithms

Years and Authors of Summarized Original Work

2005; Bansal, Charikar, Khanna, Naor2008; Bansal, Coppersmith, Sviridenko2014; Bansal, Charikar, Krishnaswamy, Li

Problem Definition

In this entry, we consider the classical broadcast scheduling problem and discuss some recent advances on this problem. The problem is formalized as follows: there is a server which has a collection of unit-sized pages P = {1, …, n}. The server can broadcast pages in integer time slots in response to requests, which are given as the following sequence: at time t, the server receives \(w_{p}(t) \in \mathbb{Z}_{\geq 0}\) requests for each page p ∈ P. We say that a request ρ for page p that arrives at time t is satisfied at time c p (t) if c p (t) is the first time after t by which the server has completely transmitted page p. The response time of the request ρ is defined to be c p (t) − t, i.e., the time that elapses from its arrival till the time it is satisfied. Notice that by definition, the response time...

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Recommended Reading

  1. Bansal N, Charikar M, Khanna S, Naor J (2005) Approximating the average response time in broadcast scheduling. In: Proceedings of the 16th annual ACM-SIAM symposium on discrete algorithms, Vancouver

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  2. Bansal N, Charikar M, Krishnaswamy R, Li S (2014) Better algorithms and hardness for broadcast scheduling via a discrepancy approach. In: Proceedings of the 25th annual ACM-SIAM symposium on discrete algorithms, Portland

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  3. Bansal N, Coppersmith D, Sviridenko M (2008) Improved approximation algorithms for broadcast scheduling. SIAM J Comput 38(3):1157–1174

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  6. Im S, Moseley B (2012) An online scalable algorithm for average flow time in broadcast scheduling. ACM Trans Algorithms (TALG) 8(4):39

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  8. Newman A, Neiman O, Nikolov A (2012) Beck’s three permutations conjecture: a counterexample and some consequences. In: 2012 IEEE 53rd annual symposium on foundations of computer science (FOCS), New Brunswick. IEEE, APA

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Author information

Authors and Affiliations

  1. Computer Science Department, Princeton University, Princeton, NJ, USA

    Ravishankar Krishnaswamy

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  1. Ravishankar Krishnaswamy
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Correspondence to Ravishankar Krishnaswamy .

Editor information

Editors and Affiliations

  1. Dept. Electrical Engineering & Computer Science, Northwestern University, Evanston, Illinois, USA

    Ming-Yang Kao

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Krishnaswamy, R. (2014). Broadcast Scheduling: Minimizing Average Response Time. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-3-642-27848-8_538-1

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  • DOI: https://doi.org/10.1007/978-3-642-27848-8_538-1

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  • Publisher Name: Springer, Boston, MA

  • Online ISBN: 978-3-642-27848-8

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