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Optimal Persistence Policies

Author

Listed:
  • J. MacQueen

    (University of California, Berkeley, California)

  • R. G. Miller

    (University of California, Berkeley, California)

Abstract

This paper deals with the problem of whether or not a search activity should be started and, if started, whether or not it should be continued. This problem suggests a model that is described. The model gives rise to a general functional equation for which existence and uniqueness conditions are given. Several examples are discussed, solutions to the specific functional equations appropriate to the examples are given, and the optimal policies are characterized.

Suggested Citation

  • J. MacQueen & R. G. Miller, 1960. "Optimal Persistence Policies," Operations Research, INFORMS, vol. 8(3), pages 362-380, June.
    • Handle: RePEc:inm:oropre:v:8:y:1960:i:3:p:362-380
    DOI: 10.1287/opre.8.3.362
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    Citations

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    Cited by:

    1. Chun, Young Hak, 1997. "Rank-based selection strategies for the random walk process," European Journal of Operational Research, Elsevier, vol. 96(2), pages 417-427, January.
    2. Karaliopoulos, Merkouris & Katsikopoulos, Konstantinos & Lambrinos, Lambros, 2017. "Bounded rationality can make parking search more efficient: The power of lexicographic heuristics," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 28-50.
    3. David, Israel & Levi, Ofer, 2004. "A new algorithm for the multi-item exponentially discounted optimal selection problem," European Journal of Operational Research, Elsevier, vol. 153(3), pages 782-789, March.
    4. Georgy Yu. Sofronov, 2020. "An Optimal Double Stopping Rule for a Buying-Selling Problem," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 1-12, March.
    5. Chun, Young H., 1999. "Selecting the best choice in the full information group interview problem," European Journal of Operational Research, Elsevier, vol. 119(3), pages 635-651, December.
    6. Zhan (Michael) Shi & T. S. Raghu, 2020. "An Economic Analysis of Product Recommendation in the Presence of Quality and Taste-Match Heterogeneity," Information Systems Research, INFORMS, vol. 31(2), pages 399-411, June.
    7. Malafeyev Oleg & Kun Zhang, 2023. "Pursuit Problem of Unmanned Aerial Vehicles," Mathematics, MDPI, vol. 11(19), pages 1-26, October.
    8. Churlzu Lim & J. Neil Bearden & J. Cole Smith, 2006. "Sequential Search with Multiattribute Options," Decision Analysis, INFORMS, vol. 3(1), pages 3-15, March.
    9. Áron Horvath & Aliz McLean, 2013. "Explaining Changes in Transaction Volumes in Hungarian Settlements During the Crisis," ERES eres2013_114, European Real Estate Society (ERES).
    10. Bikhchandani, Sushil & Sharma, Sunil, 1996. "Optimal search with learning," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 333-359.
    11. Sofronov, Georgy, 2013. "An optimal sequential procedure for a multiple selling problem with independent observations," European Journal of Operational Research, Elsevier, vol. 225(2), pages 332-336.
    12. Rebecca Dizon-Ross & Sheldon M. Ross, 2020. "Dynamic search models with multiple items," Annals of Operations Research, Springer, vol. 288(1), pages 223-245, May.
    13. Debarun Bhattacharjya & Léa A. Deleris, 2014. "The Value of Information in Some Variations of the Stopping Problem," Decision Analysis, INFORMS, vol. 11(3), pages 189-203, September.
    14. Georgy Sofronov, 2020. "An Optimal Decision Rule for a Multiple Selling Problem with a Variable Rate of Offers," Mathematics, MDPI, vol. 8(5), pages 1-11, May.
    15. Lim, William W., 1997. "Observing Sunspots at Home," Journal of Housing Economics, Elsevier, vol. 6(3), pages 203-222, September.

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