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Management of online server congestion using optimal demand throttling

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  • Perera, Sandun
  • Gupta, Varun
  • Buckley, Winston

Abstract

Bandwidth throttling is widely employed in practice by online-service-providers (OSPs) as a server/network congestion management tool. However, this topic has been largely neglected in the academic literature. To the best of our knowledge, this is the first analytical study that aims at achieving an optimal (non-discriminatory) throttling mechanism for bandwidth when user demand is stochastic. In our setting, the demand dynamics of the OSP is governed by a geometric Brownian process. There are costs associated with maintaining and throttling demand; in particular, throttling cost includes both fixed and proportional costs. As users experience inferior service speeds during throttling, the proposed model modifies the demand dynamics to adequately capture users’ reactions to throttling. OSP’s objective is to determine the optimal throttling strategy that minimizes the total expected discounted cost of maintaining and throttling demand. By assuming the existence of an optimal strategy, we use a dynamic programming (Quasi-Variational Inequality) approach to show that it is optimal for the OSP to throttle the demand whenever it reaches a threshold level and downgrade the service speed by a fixed factor while the throttling is employed. Our numerical computations strongly suggest that it is always optimal for OSPs to induce negative (demand) growth rates during throttling to reduce unfavorable future demand. Moreover, our comparative statics analysis explains how OSPs should handle user demand with higher growth rates and volatility, service networks that face higher demand fluctuations/volatility during throttling, and the trade-off between non-monetary fixed and proportional cost associated with throttling.

Suggested Citation

  • Perera, Sandun & Gupta, Varun & Buckley, Winston, 2020. "Management of online server congestion using optimal demand throttling," European Journal of Operational Research, Elsevier, vol. 285(1), pages 324-342.
    • Handle: RePEc:eee:ejores:v:285:y:2020:i:1:p:324-342
    DOI: 10.1016/j.ejor.2020.02.008
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    as
    1. Hainaut, Donatien, 2014. "Impulse control of pension fund contributions, in a regime switching economy," European Journal of Operational Research, Elsevier, vol. 239(3), pages 810-819.
    2. Richard R. Lumley & Mihail Zervos, 2001. "A Model for Investments in the Natural Resource Industry with Switching Costs," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 637-653, November.
    3. Letifi, N. & Prigent, J.-L., 2014. "On the optimality of funding and hiring/firing according to stochastic demand: The role of growth and shutdown options," Economic Modelling, Elsevier, vol. 40(C), pages 410-422.
    4. Ward Whitt, 1981. "The Stationary Distribution of a Stochastic Clearing Process," Operations Research, INFORMS, vol. 29(2), pages 294-308, April.
    5. Rahul R. Marathe & Sarah M. Ryan, 2009. "Capacity expansion under a service‐level constraint for uncertain demand with lead times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 250-263, April.
    6. Korn, Ralf & Melnyk, Yaroslav & Seifried, Frank Thomas, 2017. "Stochastic impulse control with regime-switching dynamics," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1024-1042.
    7. Abel Cadenillas & Fernando Zapatero, 2000. "Classical and Impulse Stochastic Control of the Exchange Rate Using Interest Rates and Reserves," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 141-156, April.
    8. Monica Johar & Syam Menon & Vijay Mookerjee, 2011. "Analyzing Sharing in Peer-to-Peer Networks Under Various Congestion Measures," Information Systems Research, INFORMS, vol. 22(2), pages 325-345, June.
    9. Nair, Suresh K. & Novak, David C., 2007. "A traffic shaping model for optimizing network operations," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1358-1380, August.
    10. Chahim, Mohammed & Hartl, Richard F. & Kort, Peter M., 2012. "A tutorial on the deterministic Impulse Control Maximum Principle: Necessary and sufficient optimality conditions," European Journal of Operational Research, Elsevier, vol. 219(1), pages 18-26.
    11. Hong Guo & Robert F. Easley, 2016. "Network Neutrality Versus Paid Prioritization: Analyzing the Impact on Content Innovation," Production and Operations Management, Production and Operations Management Society, vol. 25(7), pages 1261-1273, July.
    12. Haolin Feng & Kumar Muthuraman, 2010. "A Computational Method for Stochastic Impulse Control Problems," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 830-850, November.
    13. Sarah M. Ryan, 2004. "Capacity Expansion for Random Exponential Demand Growth with Lead Times," Management Science, INFORMS, vol. 50(6), pages 740-748, June.
    14. Jan Krämer & Lukas Wiewiorra, 2012. "Network Neutrality and Congestion Sensitive Content Providers: Implications for Content Variety, Broadband Investment, and Regulation," Information Systems Research, INFORMS, vol. 23(4), pages 1303-1321, December.
    15. Reddy, Puduru V. & Wrzaczek, Stefan & Zaccour, Georges, 2016. "Quality effects in different advertising models - An impulse control approach," European Journal of Operational Research, Elsevier, vol. 255(3), pages 984-995.
    16. Prabuddha De & Lin Hao & Yung-Ming Li & Yong Tan, 2017. "Quality of Service Based Pricing Schemes for Content Sharing in Peer-to-Peer Networks," Production and Operations Management, Production and Operations Management Society, vol. 26(8), pages 1427-1443, August.
    17. Jahani, Hamed & Abbasi, Babak & Alavifard, Farzad & Talluri, Srinivas, 2018. "Supply chain network redesign with demand and price uncertainty," International Journal of Production Economics, Elsevier, vol. 205(C), pages 287-312.
    18. Shuangchi He & Dacheng Yao & Hanqin Zhang, 2017. "Optimal Ordering Policy for Inventory Systems with Quantity-Dependent Setup Costs," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 979-1006, November.
    19. Yao, Dingjun & Yang, Hailiang & Wang, Rongming, 2011. "Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs," European Journal of Operational Research, Elsevier, vol. 211(3), pages 568-576, June.
    20. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    21. Salles, J. L. F. & do Val, J. B. R., 2001. "An impulse control problem of a production model with interruptions to follow stochastic demand," European Journal of Operational Research, Elsevier, vol. 132(1), pages 123-145, July.
    22. Ohnishi, Masamitsu & Tsujimura, Motoh, 2006. "An impulse control of a geometric Brownian motion with quadratic costs," European Journal of Operational Research, Elsevier, vol. 168(2), pages 311-321, January.
    23. Daniel Mitchell & Haolin Feng & Kumar Muthuraman, 2014. "Impulse Control of Interest Rates," Operations Research, INFORMS, vol. 62(3), pages 602-615, June.
    24. Sandun Perera & Winston Buckley, 2017. "On the existence and uniqueness of the optimal central bank intervention policy in a forex market with jumps," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 877-885, August.
    25. Agnès Sulem, 1986. "Explicit Solution of a Two-Dimensional Deterministic Inventory Problem," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 134-146, February.
    26. George M. Constantinides & Scott F. Richard, 1978. "Existence of Optimal Simple Policies for Discounted-Cost Inventory and Cash Management in Continuous Time," Operations Research, INFORMS, vol. 26(4), pages 620-636, August.
    27. Frago Kourandi & Jan Krämer & Tommaso Valletti, 2015. "Net Neutrality, Exclusivity Contracts, and Internet Fragmentation," Information Systems Research, INFORMS, vol. 26(2), pages 320-338, June.
    28. Lieberman, Marvin B., 1989. "Capacity utilization: Theoretical models and empirical tests," European Journal of Operational Research, Elsevier, vol. 40(2), pages 155-168, May.
    29. Soohyun Cho & Liangfei Qiu & Subhajyoti Bandyopadhyay, 2016. "Should Online Content Providers Be Allowed To Subsidize Content?—An Economic Analysis," Information Systems Research, INFORMS, vol. 27(3), pages 580-595.
    30. Jingchen Wu & Xiuli Chao, 2014. "Optimal Control of a Brownian Production/Inventory System with Average Cost Criterion," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 163-189, February.
    31. Kazutoshi Yamazaki, 2017. "Inventory Control for Spectrally Positive Lévy Demand Processes," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 212-237, January.
    32. Alain Bensoussan & Benoît Chevalier-Roignant, 2019. "Sequential Capacity Expansion Options," Operations Research, INFORMS, vol. 67(1), pages 33-57, January.
    33. Sandun Perera & Winston Buckley & Hongwei Long, 2018. "Market-reaction-adjusted optimal central bank intervention policy in a forex market with jumps," Annals of Operations Research, Springer, vol. 262(1), pages 213-238, March.
    34. Abel Cadenillas & Peter Lakner & Michael Pinedo, 2010. "Optimal Control of a Mean-Reverting Inventory," Operations Research, INFORMS, vol. 58(6), pages 1697-1710, December.
    35. Jeff Hecht, 2016. "The bandwidth bottleneck that is throttling the Internet," Nature, Nature, vol. 536(7615), pages 139-142, August.
    36. Baccarin, Stefano, 2009. "Optimal impulse control for a multidimensional cash management system with generalized cost functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 198-206, July.
    37. Melda Ormeci & J. G. Dai & John Vande Vate, 2008. "Impulse Control of Brownian Motion: The Constrained Average Cost Case," Operations Research, INFORMS, vol. 56(3), pages 618-629, June.
    38. Ralf Korn, 1997. "Optimal Impulse Control When Control Actions Have Random Consequences," Mathematics of Operations Research, INFORMS, vol. 22(3), pages 639-667, August.
    39. Cadenillas, Abel & Zapatero, Fernando, 1999. "Optimal Central Bank Intervention in the Foreign Exchange Market," Journal of Economic Theory, Elsevier, vol. 87(1), pages 218-242, July.
    40. Kumar Muthuraman & Sridhar Seshadri & Qi Wu, 2015. "Inventory Management with Stochastic Lead Times," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 302-327, February.
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