Modeling Customer Reactions to Congestion in Competitive Service Facilities
Mohammad Saidi-Mehrabad, Ebrahim Teimory, Ali Pahlavani
DOI: 10.4236/jssm.2010.32024   PDF    HTML     5,596 Downloads   9,854 Views   Citations


This paper reviews classic approaches for modeling customers’ choice behavior in competitive facility planning problems. They are either deterministic or probabilistic and work by a utility function based on some factors whether customer-independent or dependent. This paper focuses especially on congestion, the most important factor in customer to service or fixed-server systems. Various behaviors which customers may divulge when they face with a congested facility are extensively studied. We also define a new congestion-sensitivity reaction which has not been considered in the literature. Relevant modeling approaches are proposed to formulate customers-sensitivity to congestion. An illustrative example is also given to analyze and compare the proposed approaches.

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Saidi-Mehrabad, M. , Teimory, E. and Pahlavani, A. (2010) Modeling Customer Reactions to Congestion in Competitive Service Facilities. Journal of Service Science and Management, 3, 186-197. doi: 10.4236/jssm.2010.32024.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] T. Drezner and Z. Drezner, “Finding the Optimal Solution to the Huff Based Competitive Location Model,” Computational Management Science, Vol. 1, No. 2, 2004, pp. 193-208.
[2] S. L. Hakimi, “Optimum Locations of Switching Centres and the Absolute Centres and Medians of a Graph,” Operations Research, Vol. 12, No. 3, 1964, pp. 450-459.
[3] R. L. Church and C. ReVelle, “The Maximal Covering Location Problem,” Papers of Regional Science Association, Vol. 32, No. 1, 1974, pp. 101-118.
[4] H. Hotelling, “Stability in Competition,” Economic Journal, Vol. 39, No. 153, 1929, pp. 41-57.
[5] C. ReVelle, “The Maximum Capture or Sphere of Influence Location Problem: Hotelling Revisited on a Network,” Journal of Regional Science, Vol. 26, No. 2, 1986, pp. 343-358.
[6] R. Aboolian, O. Berman and D. Krass, “Competitive Facility Location Model with Concave Demand,” European Journal of Operational Research, Vol. 181, No. 1, 2007, pp. 598-619.
[7] M. D. Garcia Perez, P. F. Hernandez and B. P. Pelegrin, “On Price Competition in Location-Price Models with Spatially Separated Markets,” TOP, Vol. 12, No. 2, 2004, pp. 351-374.
[8] F. Plastria, “Static Competitive Facility Location: An Overview of Optimisation Approaches,” European Journal of Operational Research, Vol. 129, No. 3, 2001, pp. 461-470.
[9] D. Huff, “Defining and Estimating a Trading Area,” Journal of Marketing, Vol. 28, No. 3, 1964, pp. 34-38.
[10] J. R. Roy and J. C. Thill, “Spatial Interaction Modeling,” Papers in Regional Science, Vol. 83, No. 4, 2004, 339- 361.
[11] A. Jain and V. Mahajan, “Evaluating the Competitive Environment in Retailing Using the Multiplicative Competitive Interactive Model,” In: J. Sheth, Ed., Research in Marketing, JAI Press, Greenwich, Vol. 2, 1979, pp. 217- 235.
[12] D. McFadden, “Conditional Logit Analysis of Qualitative Choice Behaviour,” In: P. Zarembka, Ed., Frontiers in Econometrics, Academic Press, New York, 1974.
[13] R. Aboolian, O. Berman and D. Krass, “Competitive Fac- ility Location and Design Problem,” European Journal of Operational Research, Vol. 182, No. 1, 2007, pp. 40-62.
[14] H. Lee and M. Cohen, “Equilibrium Analysis of Disagg- Regate Facility Choice System Subject to Congestion- Elastic Demand,” Operations Research, Vol. 33, No. 2, 1985, pp. 293-311,
[15] F. Silva and D. Serra, “Incorporating Waiting Time in Competitive Location Models,” Networks and Spatial Economics, Vol. 7, No. 1, 2007, pp. 63-76.
[16] V. Marianov, M. Rios and M. J. Icaza, “Facility Location for Market Capture When Users Rank Facilities by Shorter Travel and Waiting Times,” European Journal of Operational Research, Vol. 191, No. 1, 2008, pp. 32-44.
[17] A. M. Kwasnica and E. Stavrulaki, “Competitive Location and Capacity Decisions for Firms Serving Time- Sensitive Customers,” Naval Research Logistics, Vol. 55, No. 7, 2008, pp. 704-721.
[18] R. Aboolian, Y. Sun and G. J. Koehler, “A Location– Allocation Problem for a Web Services Provider in a Competitive Market,” European Journal of Operational Research, Vol. 194, No. 1, 2009, pp. 64-77.
[19] M. L. Brandeau, S. S. Chiu, S. Kumar and T. A. Gro- ssman, “Location with Market Externalities,” In: Z. Dre- zner, Ed., Facility Location, Springer-Verlag, 1995, pp. 121-150.
[20] V. Marianov, “Location of Multiple-Server Congestible Facilities for Maximizing Expected Demand, When Serv- Ices are Non-Essential,” Annals of Operations Research, Vol. 123, No. 4, 2003, pp. 125-141.
[21] D. Gross and C. M. Harris, “Fundamentals of Queuing Theory,” 3rd Edition, John Wiley and Sons, New York, 2002.
[22] D. Q. Yue and Y. P. Sun, “Waiting Time of M/M/C/N Queuing System with Balking, Reneging, and Multiple Synchronous Vacations of Partial Servers,” Systems Engineering-Theory & Practice, Vol. 28, No. 2, 2008, pp. 89-97.
[23] C. T. Kelley, “Iterative Methods for Linear and Nonlinear Equations,” No. 16 in Frontiers in Applied Mathematics, SIAM, Philadelphia, 1995.

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