Abstract
The study of economic behavior of service providers in a competition environment is an important and interesting research issue. A two-server queueing model has been proposed in Kalai et al. [11] for this purpose. Their model aims at studying the role and impact of service capacity in capturing larger market share so as to maximize the long-run expected profit. They formulate the problem as a two-person strategic game and analyze the equilibrium solutions. The main aim of this paper is to extend the results of the two-server queueing model in [11] to the case of multiple servers. We will only focus on the case when the queueing system is stable.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Altman, E.: Non-zero-sum Stochastic Games in Admission, Service and Routing Control in Queueing Systems. Queueing Systems Theory Appl. 23, 259–279 (1996)
Andradotir, S., Ayhan, H., Down, D.: Server Assignment Policies for Maximizing the Steady-State Throughput of Finite Queueing Systems. Manag. Sci. 47, 1421–1439 (2001)
Ben-Daya, M., Hariga, M.: Integrated Single Vendor Single Buyer Model with Stochastic Demand and Variable Lead Time. International Journal of Production Economics 92, 75–80 (2004)
Bernstein, F., Chen, F., Federgruen, A.: Coordinating Supply Chains with Simple Pricing Schemes: The Role of Vendor-Managed Inventories. Manag. Sci. 52, 1483–1492 (2006)
Ching, W.: On Convergence of Asynchronous Greedy Algorithm with Relaxation in Multiclass Queueing Environment. IEEE Communication Letters 3, 34–36 (1999)
Ching, W.: Iterative Methods for Queuing and Manufacturing Systems. Springer Monographs in Mathematics. Springer, London (2001)
Ching, W., Ng, M.: Markov Chains: Models, Algorithms and Applications. International Series on Operations Research and Management Science. Springer, New York (2006)
Ching, W., Choi, S., Huang, M.: Optimal Service Capacity in a Multiple-server Queueing System: A Game Theory Approach (preprint) (2008), http://hkumath.hku.hk/papers/~wkc/cchpaper1.pdf
Crabill, C., Gross, D., Magazine, M.: A Classified Bibliography of Research on Optimal Control of Queues. Oper. Res. 25, 219–232 (1977)
El-Taha, M., Maddah, B.: Allocation of Service Time in a Multiserver System. Manag. Sci. 52, 623–637 (2006)
Kalai, E., Kamien, M., Rubinovitch, M.: Optimal Service Speeds in a Competitive Environment. Manag. Sci. 38(8), 1154–1163 (1992)
Gilbert, S., Weng, Z.: Incentive Effects Favor Nonconsolidating Queues in a Service System: The Principal-Agent Perspective. Manag. Sci. 44(12), 1662–1669 (1998)
Laffont, J., Martimort, D.: The Theory of Incentives: the Principal-agent Model. Princeton University Press, Princeton (2002)
Mishra, B., Raghunathan, S.: Retailer vs. Vendor-Managed Inventory and Brand Competition. Manag. Sci. 50, 445–457 (2004)
Morries, P.: Introduction to Game Theory. Springer, New York (1994)
Tai, A., Ching, W.: A Quantity-time-based Dispatching Policy for a VMI System. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3483, pp. 342–349. Springer, Heidelberg (2005)
Teghem, J.: Control of the Service Process in a Queueing System. Euro. J. of Oper. Res. 23, 141–158 (1986)
Thomas, D.: Coordinated Supply Chain Management. European Journal of Operational Research 94, 1–15 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Ching, WK., Choi, SM., Huang, M. (2009). Optimal Service Capacities in a Competitive Multiple-Server Queueing Environment. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-02466-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02465-8
Online ISBN: 978-3-642-02466-5
eBook Packages: Computer ScienceComputer Science (R0)