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CPU Time Pricing

2005; Deng, Huang, Li

  • Reference work entry
Encyclopedia of Algorithms

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Keywords and Synonyms

Competitive auction; Market equilibrium ; Resource scheduling      

Problem Definition

This problem is concerned with a Walrasian equilibrium model to determine the prices of CPU time. In a market model of a CPU job scheduling problem, the owner of the CPU processing time sells time slots to customers and the prices of each time slot depends on the seller's strategy and the customers' bids (valuation functions). In a Walrasian equilibrium, the market is clear and each customer is most satisfied according to its valuation function and current prices. The work of Deng, Huang, and Li [1] establishes the existence conditions of Walrasion equilibrium, and obtains complexity results to determine the existence of equilibrium. It also discusses the issues of excessive supply of CPU time and price dynamics.

Notations

Consider a combinatorial auction (\( { \Omega, {I}, V } \)):

  • Commodities: The seller sells m kinds of indivisible commodities. Let \( {...

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Recommended Reading

  1. Deng, X., Huang, L.-S., Li, M.: On Walrasian Price of CPU time. In: Proceedings of COCOON'05, Knming, 16–19 August 2005, pp. 586–595. Algorithmica 48(2), 159–172 (2007)

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  2. Ferguson, D., Yemini, Y., Nikolaou, C.: Microeconomic Algorithms for Load Balancing in Distributed Computer Systems. In: Proceedings of DCS'88, pp. 419–499. San Jose, 13–17 June 1988,

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  3. Goldberg, A.V., Hartline, J.D., Wright, A.: Competitive Auctions and Digital Goods. In: Proceedings of SODA'01, pp. 735–744. Washington D.C., 7–9 January 2001

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  4. Kelly, F.P.: Charging and rate control for elastic traffic. Eur. Trans. Telecommun. 8, 33–37 (1997)

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  5. Kurose, J.F., Simha, R.: A Microeconomic Approach to Optimal Resource Allocation in Distributed Computer Systems. IEEE Trans. Comput. 38(5), 705–717 (1989)

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  6. Nisan, N.: Bidding and Allocation in Combinatorial Auctions. In: Proceedings of EC'00, pp. 1–12. Minneapolis, 17–20 October 2000

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Author information

Authors and Affiliations

  1. Department of Compurter Science, Tsinghua University, Beijing, China

    Li-Sha Huang

Authors
  1. Li-Sha Huang
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer ScienceMcCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL, 60208, USA

    Ming-Yang Kao Professor of Computer Science

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© 2008 Springer-Verlag

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Huang, LS. (2008). CPU Time Pricing. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_94

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