Optimal Pricing for the Competitive and Evolutionary Cloud Market

We study the problem of how to optimize a cloud service provider's pricing policy so as to better compete with other providers. Different from previous work, we take both the evolution of the market and the competition between multiple cloud providers into consideration while optimizing the pricing strategy for the provider. Inspired by the real situations in today's cloud market, we consider a situation in which there is only one provider who actively optimizes his/her pricing policy, while other providers adopt a follow-up policy to match his/her price cut. To compute optimal pricing policy under the above settings, we decompose the optimization problem into two steps: (1) When the market finally becomes saturated, we use Q-learning, a method of reinforcement learning, to derive an optimal pricing policy for the stationary market; (2) Based on the optimal policy for the stationary market, we use backward induction to derive an optimal pricing policy for the situation of competition in an evolutionary market. Numerical simulations demonstrate the effectiveness of our proposed approach.

[1]  Cerry M. Klein,et al.  Optimal inventory policies under decreasing cost functions via geometric programming , 2001, Eur. J. Oper. Res..

[2]  Lakshmi Sobhana Kalli,et al.  Market-Oriented Cloud Computing : Vision , Hype , and Reality for Delivering IT Services as Computing , 2013 .

[3]  Baochun Li,et al.  Dynamic Cloud Pricing for Revenue Maximization , 2013, IEEE Transactions on Cloud Computing.

[4]  Moshe Tennenholtz,et al.  Competition in the Presence of Social Networks: How Many Service Providers Maximize Welfare? , 2013, WINE.

[5]  R. Pearl,et al.  On the Rate of Growth of the Population of the United States since 1790 and Its Mathematical Representation. , 1920, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Baochun Li,et al.  Maximizing revenue with dynamic cloud pricing: The infinite horizon case , 2012, 2012 IEEE International Conference on Communications (ICC).

[7]  Tram Truong Huu,et al.  A Game-Theoretic Model for Dynamic Pricing and Competition among Cloud Providers , 2013, 2013 IEEE/ACM 6th International Conference on Utility and Cloud Computing.

[8]  Hang Li,et al.  Hybrid Recommendation Models for Binary User Preference Prediction Problem , 2012, KDD Cup.

[9]  Verena Kantere,et al.  Optimal Service Pricing for a Cloud Cache , 2011, IEEE Transactions on Knowledge and Data Engineering.

[10]  Ben J. A. Kröse,et al.  Learning from delayed rewards , 1995, Robotics Auton. Syst..

[11]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[12]  Pei-yu Chen,et al.  Software Licensing: Pay-Per-Use versus Perpetual , 2007 .

[13]  RadhaKanta Mahapatra,et al.  Business data mining - a machine learning perspective , 2001, Inf. Manag..

[14]  R. Lathe Phd by thesis , 1988, Nature.

[15]  Bo Li,et al.  Price Competition in an Oligopoly Market with Multiple IaaS Cloud Providers , 2014, IEEE Transactions on Computers.

[16]  Randy H. Katz,et al.  A view of cloud computing , 2010, CACM.

[17]  David Vengerov,et al.  A gradient-based reinforcement learning approach to dynamic pricing in partially-observable environments , 2008, Future Gener. Comput. Syst..

[18]  Michael R. Lyu,et al.  Probabilistic factor models for web site recommendation , 2011, SIGIR.

[19]  Y. Braunstein,et al.  Information management , 1996 .

[20]  Michael P. Wellman,et al.  Multiagent Reinforcement Learning: Theoretical Framework and an Algorithm , 1998, ICML.

[21]  Raouf Boutaba,et al.  Cloud computing: state-of-the-art and research challenges , 2010, Journal of Internet Services and Applications.

[22]  Shankar Pasupathy,et al.  Maximizing Efficiency by Trading Storage for Computation , 2009, HotCloud.

[23]  Andrew W. Moore,et al.  Reinforcement Learning: A Survey , 1996, J. Artif. Intell. Res..

[24]  Mark Sanderson,et al.  Proceedings of the 45th International ACM SIGIR Conference on Research and Development in Information Retrieval , 2012, SIGIR 2012.

[25]  Eduardo F. Morales,et al.  An Introduction to Reinforcement Learning , 2011 .

[26]  Rajkumar Buyya,et al.  Market-Oriented Cloud Computing: Vision, Hype, and Reality for Delivering IT Services as Computing Utilities , 2008, 2008 10th IEEE International Conference on High Performance Computing and Communications.