Skip to main content
Log in

Trading revenue, reputation and trade secrets: a stochastic control framework for business operation

  • Original Paper
  • Published:
Operational Research Aims and scope Submit manuscript

Abstract

In this electronic era, most businesses, especially e-businesses like IT services, business process outsourcing (BPO), online merchants etc. maintain details of daily operations and customer feedback. Relations between different business parameters can be learned from these data, which in turn can be used in decision making. In this work, we develop a stylized mathematical framework for business operations based on the knowledge gathered from past data. Our proposed framework is generic and is close to optimal in terms of long-term profitability. In optimizing long-term profit, we balance between short-term profit and long-term reputation earned based on customer satisfaction while ensuring trade secrecy. Towards this we build on stochastic control and Lyapunov techniques that have been successfully applied in communication networks.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Notes

  1. The case of stochastic policies is discussed in Sect. 3.2.

References

  • Baccelli F, Brémaud P (2013) Elements of queueing theory: Palm Martingale calculus and stochastic recurrences, vol 26. Springer, Berlin

    Google Scholar 

  • Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Chatterjee A, Ying L, and Vishwananth S (2012) Revenue and reputation: a stochastic control approach to profit maximization. pp 617–623. doi:10.1109/Allerton.2012.6483275

  • Chen Y, Xie J (2008) Online consumer review: word-of-mouth as a new element of marketing communication mix. Manag Sci 54:477–491

    Article  Google Scholar 

  • Clemons EK (2008) How information changes consumer behavior and how consumer behavior determines corporate strategy. J Manag Inf Syst 25:13–40

    Article  Google Scholar 

  • Cristianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other kernel-based learning methods. Cambridge university press, Cambridge

    Book  Google Scholar 

  • Davenport TH, Harris JG, Kohli AK (2001) How do they know their customers so well? MIT Sloan Manag Rev 42(2):63

    Google Scholar 

  • Dellarocas C (2003) The digitization of word of mouth: promise and challenges of online feedback mechanisms. Manag Sci 49:1407–1424

    Article  Google Scholar 

  • Dorfman R, Steiner PO (1954) Optimal advertising and optimal quality. Am Econ Rev 44:826–836

    Google Scholar 

  • Fox V (2010) Marketing in the age of google: your online strategy is your business strategy. Wiley, New York

    Google Scholar 

  • Kimes SE (1999) The relationship between product quality and revenue per available room at holiday inn. J Serv Res 2:138–144

    Article  Google Scholar 

  • Kotowitz Y, Mathewson F (1979) Advertising, consumer information, and product quality. Bell J Econ 10:566–588

    Article  Google Scholar 

  • Lambin J, Naert PA, Bultez A (1975) Optimal marketing behavior in oligopoly. Eur Econ Rev 6:105–128

    Article  Google Scholar 

  • Luca M (2010) Reviews, reputation, and revenue: the case of yelp.com. Technical report, Harvard Business School

  • Nagar V, Rajan MV (2001) The revenue implications of financial and operational measures of product quality. Account Rev 76:495–513

    Article  Google Scholar 

  • Neely MJ (2010) Stochastic network optimization with application to communication and queueing systems. Morgan and Claypool, San Rafael

    Book  Google Scholar 

  • Neely MJ, Modiano E, Li C (2005) Fairness and optimal stochastic control for heterogeneous network. In: Proceedings of IEEE INFOCOM, vol. 3, Miami, FL, pp 1723–1734

  • Nerlove M, Arrow KJ (1962) Optimal advertising policy under dynamic conditions. Economica 29:129–142

    Article  Google Scholar 

  • Resnick P, Zeckhauser R, Swanson J, Lockwood K (2006) The value of reputation on ebay: a controlled experiment. Exp Econ 9:79–101

    Article  Google Scholar 

  • Rust RT, Moorman C, Dickson PR (2002) Getting return on quality: revenue expansion, cost reduction, or both? J Mark 66:7–24

    Article  Google Scholar 

  • Schal M (1993) Average optimality in dynamic programming with general state space. Math Oper Res 18(1):163–172

    Article  Google Scholar 

  • Sethi SP, Thompson GL (2000) Optimal control theory: applications to management science and economics. Springer, Berlin

    Google Scholar 

  • Sethuraman R, Tellis GJ (1991) An analysis of the tradeoff between advertising and price discounting. J Mark Res 28:160–174

    Article  Google Scholar 

  • Srikant R, Ying L (2013) Communication networks: an optimization, control, and stochastic networks perspective. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Stokey NL (2008) The economics of inaction: stochastic control models with fixed costs. Princeton University Press, Princeton

    Book  Google Scholar 

  • Varshney K, Mojsilovic A (2011) Business analytics based on financial time series. IEEE Signal Process Mag 28(5):83–93

    Article  Google Scholar 

  • Weigelt K, Camerer C (1988) Reputation and corporate strategy: a review of recent theory and applications. Strateg Manag 9:443–454

    Article  Google Scholar 

  • Zeidler E (2013) Nonlinear functional analysis and its applications: iii: variational methods and optimization. Springer, Berlin

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Avhishek Chatterjee.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chatterjee, A., Ying, L. & Vishwanath, S. Trading revenue, reputation and trade secrets: a stochastic control framework for business operation. Oper Res Int J 20, 247–278 (2020). https://doi.org/10.1007/s12351-017-0323-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12351-017-0323-8

Keywords

Navigation