Journal of Intelligent Manufacturing

, Volume 28, Issue 3, pp 695–704 | Cite as

An uncertain search model for recruitment problem with enterprise performance

  • Chi Zhou
  • Wansheng TangEmail author
  • Ruiqing Zhao


This paper studies a dynamic recruitment problem with enterprise performance in the uncertain environment, in which a firm first interviews finite job applicants sequentially and then makes an employment decision according to results of the interview. Since the assessment of the firm about each interviewee’s capability is subjective and the interviewees are heterogeneous, it is reasonable to characterize these assessments as independent but not identically distributed uncertain variables. What’s more, an uncertain sequential search model is established to maximize the benefit of the recruitment firm. Moreover, an optimal search strategy is presented by adopting the principle of optimality and the reservation value rule. The results demonstrate that the threshold of recruitment decreases with the search cost, and increases with the enterprise performance level. In addition, we find that the low employment risk applicant will be preferred. Finally, some numerical examples are given to illustrate the effectiveness of the proposed model.


Uncertainty theory Sequential search Dynamic programming Labor market  Enterprise performance 



This work is supported by the National Natural Science Foundation of China (No. 71071106), the National Natural Science Foundation of China (No. 71371133), supported partially by Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20120032110071), and supported partially by Program for New Century Excellent Talents in Universities of China.


  1. Bellman, R. E. (1957). Dynamic programming. New Jersey: Princeton University Press.Google Scholar
  2. Cheng, C., & Prabhu, V. (2013). An approach for research and training in enterprise information system with RFID technology. Journal of Intelligent Manufacturing, 24(3), 527–540.CrossRefGoogle Scholar
  3. Chang, Q., Ni, J., Bandyopadhyay, P., Biller, S., & Xiao, G. (2007). Maintenance staffing management. Journal of Intelligent Manufacturing, 18(3), 351–360.CrossRefGoogle Scholar
  4. Chen, X., Liu, Y., & Ralescu, D. A. (2013). Uncertain stock model with periodic dividends. Fuzzy Optimization and Decision Making, 12(1), 111–123.CrossRefGoogle Scholar
  5. DeGroot, M. H. (2004). Optimal statistical decisions. New Jersey: Wiley.CrossRefGoogle Scholar
  6. DeVaro, J. (2005). Employer recruitment strategies and the labor market outcomes of new hires. Economic Inquiry, 43(2), 263–282.CrossRefGoogle Scholar
  7. DeVaro, J. (2008). The labor market effects of employer recruitment choice. European Economic Review, 52(2), 283–314.CrossRefGoogle Scholar
  8. Eriksson, S., & Gottfries, N. (2005). Ranking of job applicants, on-the-job search, and persistent unemployment. Labour Economics, 12(3), 407–428.CrossRefGoogle Scholar
  9. Galenianos, M., & Kircher, P. (2009). Directed search with multiple job applications. Journal of Economic Theory, 144(2), 445–471.CrossRefGoogle Scholar
  10. Gao, Z., & Guo, H. (2013). Some properties of uncertain dominance. International Information Institute (Tokyo). Information, 15(12), 168–173.Google Scholar
  11. Gorter, C., & Van Ommeren, J. (1999). Sequencing, timing and filling rates of recruitment channels. Applied Economics, 31(10), 1149–1160.CrossRefGoogle Scholar
  12. Granovetter, M. (1995). Getting a job. Cambridge: Harvard Press.Google Scholar
  13. Huang, Y., Chu, F., Chu, C., & Wang, Y. (2012). Determining the number of new employees with learning, forgetting and variable wage with a Newsvendor model in pull systems. Journal of Intelligent Manufacturing, 23(1), 73–89.CrossRefGoogle Scholar
  14. Kang, B. K. (1999). Optimal stopping problem with recall cost. European Journal of Operational Research, 117(2), 222–238.CrossRefGoogle Scholar
  15. Kang, B. K. (2005). Optimal stopping problem with double reservation value property. European Journal of Operational Research, 165(3), 765–785.CrossRefGoogle Scholar
  16. Lippman, S. A., & McCall, J. J. (1976). The economics of job search: A survey. Economic Inquiry, 14(2), 155–189.CrossRefGoogle Scholar
  17. Liu, B. (2007). Uncertainty theory (2nd ed.). Berlin: Springer.Google Scholar
  18. Liu, B. (2008). Fuzzy process, hybrid process and uncertain process. Journal of Uncertain Systems, 2(1), 3–16.Google Scholar
  19. Liu, B. (2009a). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3(1), 3–10.Google Scholar
  20. Liu, B. (2009b). Theory and practice of uncertain programming (2nd ed.). Berlin: Springer.Google Scholar
  21. Liu, B. (2010a). Uncertain risk analysis and uncertain reliability analysis. Journal of Uncertain Systems, 4(3), 163–170.Google Scholar
  22. Liu, B. (2010b). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Berlin: Springer.CrossRefGoogle Scholar
  23. Liu, B. (2013a). Polyrectangular theorem and independence of uncertain vectors. Journal of Uncertainty Analysis and Applications, 1, 9.CrossRefGoogle Scholar
  24. Liu, B. (2013b). Toward uncertain finance theory. Journal of Uncertainty Analysis and Applications, 1, 1.CrossRefGoogle Scholar
  25. Liu, B. (2014). Uncertain random graph and uncertain random network. Journal of Uncertain Systems, 8(1), 3–12.Google Scholar
  26. Liu, Y., & Ha, M. (2010). Expected value of function of uncertain variables. Journal of Uncertain Systems, 4(3), 181–186.Google Scholar
  27. McCall, J. J. (1965). The economics of information and optimal stopping rules. Journal of Business, 38(3), 300–317.CrossRefGoogle Scholar
  28. McCall, J. J. (1970). Economics of information and job search. The Quarterly Journal of Economics, 84(1), 113–126.CrossRefGoogle Scholar
  29. Mu, R., Lan, Y., & Tang, W. (2013). An uncertain contract model for rural migrant workers employment problems. Fuzzy Optimization and Decision Making, 12(1), 29–39.CrossRefGoogle Scholar
  30. Peng, Z., & Iwamura, K. (2010). A sufficient and necessary condition of uncertainty distribution. Journal of Interdisciplinary Mathematics, 13(3), 277–285.CrossRefGoogle Scholar
  31. Saito, T. (1998). Optimal stopping problem with controlled recall. Probability in the Engineering and Informational Sciences, 12(1), 91–108.CrossRefGoogle Scholar
  32. Saito, T. (1999). Optimal stopping problem with finite-period reservation. European Journal of Operational Research, 118(3), 605–619.CrossRefGoogle Scholar
  33. Sheng, Y., & Yao, K. (2014). Some formulas of variance of uncertain random variable. Journal of Uncertainty Analysis and Applications, 2, 12.CrossRefGoogle Scholar
  34. Stevens, M. (2004). Wage-tenure contracts in a frictional labour market: Firms’ strategies for recruitment and retention. The Review of Economic Studies, 71(2), 535–551.CrossRefGoogle Scholar
  35. Stigler, G. J. (1961). The economics of information. The Journal of Political Economy, 69(3), 213–225.CrossRefGoogle Scholar
  36. Stigler, G. J. (1962). Information in the labor market. The Journal of Political Economy, 70(5), 94–105.CrossRefGoogle Scholar
  37. Wang, C., Tang, W., & Zhao, R. (2013). The infinite time horizon dynamic pricing problem with multi-unit demand. Optimization Letters, 7(6), 1125–1138.CrossRefGoogle Scholar
  38. Weitzman, M. L. (1979). Optimal search for the best alternative. Econometrica: Journal of the Econometric Society, 47(3), 641–654.CrossRefGoogle Scholar
  39. Yang, X., & Gao, J. (2013). Uncertain differential games with application to capitalism. Journal of Uncertainty Analysis and Applications, 1, 17.CrossRefGoogle Scholar
  40. Yang, X., & Gao, J. (2014). Uncertain core for coalitional game with uncertain payoffs. Journal of Uncertain Systems, 8(1), 13–21.Google Scholar
  41. Yang, L., Liu, P., Li, S., Gao, Y., & Ralescu, D. A. (2015). Reduction methods of type-2 uncertain variables and their applications to solid transportation problem. Information Sciences, 291(10), 204–237.CrossRefGoogle Scholar
  42. Yao, K., & Li, X. (2012). Uncertain alternating renewal process and its application. IEEE Transactions on Fuzzy Systems, 20(6), 1154–1160.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Institute of Systems EngineeringTianjin UniversityTianjinChina

Personalised recommendations