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Return-on-investment (ROI) criteria for network design

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  • Menezes, Mozart B.C.
  • Kim, Seokjin
  • Huang, Rongbing

Abstract

We develop a model for optimal location of retail stores on a network. The objective is to maximize the total profit of the network subject to a minimum ROI (or ROI threshold) required at each store. Our model determines the location and number of stores, allocation of demands to the stores, and total investment. We formulate a store’s profit as a jointly concave function in demand and investment, and show that the corresponding ROI function is unimodal. We demonstrate an application of our model to location of retail stores operating as an M/M/1/K queue and show the joint concavity of a store’s profit. To this end, we prove the joint concavity of the throughput of an M/M/1/K queue. Parametric analysis is performed on an illustrative example for managerial implications. We introduce an upper bound of an optimal value of the problem and develop three heuristic algorithms based on the structural properties of the profit and ROI functions. Computational results are promising.

Suggested Citation

  • Menezes, Mozart B.C. & Kim, Seokjin & Huang, Rongbing, 2015. "Return-on-investment (ROI) criteria for network design," European Journal of Operational Research, Elsevier, vol. 245(1), pages 100-108.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:1:p:100-108
    DOI: 10.1016/j.ejor.2015.03.009
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    References listed on IDEAS

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    1. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    2. Gabriel R. Bitran & Devanath Tirupati, 1989. "Tradeoff Curves, Targeting and Balancing in Manufacturing Queueing Networks," Operations Research, INFORMS, vol. 37(4), pages 547-564, August.
    3. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    4. Myung, Young-Soo & Kim, Hu-gon & Tcha, Dong-wan, 1997. "A bi-objective uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 608-616, August.
    5. J Brimberg & C ReVelle, 2000. "The maximum return-on-investment plant location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 729-735, June.
    6. Marianov, Vladimir & Rí­os, Miguel & Icaza, Manuel José, 2008. "Facility location for market capture when users rank facilities by shorter travel and waiting times," European Journal of Operational Research, Elsevier, vol. 191(1), pages 32-44, November.
    7. J Brimberg & P Hansen & G Laporte & N Mladenović & D Urošević, 2008. "The maximum return-on-investment plant location problem with market share," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 399-406, March.
    8. Duane Christ & Benjamin Avi-Itzhak, 2002. "Strategic Equilibrium for a Pair of Competing Servers with Convex Cost and Balking," Management Science, INFORMS, vol. 48(6), pages 813-820, June.
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    Cited by:

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