AGE REPLACEMENT POLICY IN UNCERTAIN ENVIRONMENT

[1] R. E. Barlow and F. Proschan, Mathematical theory of reliability, Wiley and Sons, New York,
1965.
[2] P. J. Boland and F. Proschan, Periodic replacement with increasing minimal repair costs at
failure, Operations Research, 30(6) (1982), 1183{1189.
[3] X. Chen, American option pricing formula for uncertain financial market, International
Journal of Operations Research, 8(2) (2011), 32{37.
[4] X. Chen and W. Dai, Maximum entropy principle for uncertain variables, International
Journal of Fuzzy Systems, 13(3) (2011), 232{236.
[5] R. Cleroux, S. Dubuc and C. Tilquin, The age replacement problem with minimal repair and
random repair costs, Operations Research, 27(6) (1979), 1158{1167.
[6] W. Dai and X. Chen, Entropy of function of uncertain variables, Mathematical and Computer
Modelling, 55(3-4) (2012), 754{760.
[7] B. Fox, Age replacement with discounting, Operations Research, 14(3) (1966), 533{537.
[8] X. Gao, Some properties of continuous uncertain measure, International Journal of Uncer-
tainty, Fuzziness and Knowledge-Based Systems, 17(3) (2009), 419{426.
[9] J. Gao, Q. Zhang and P. Shen, Coalitional game with fuzzy payoffs and credibilistic Shapley
value, Iranian Journal of Fuzzy Systems, 8(4) (2011), 107{117.
[10] J. Gao, Uncertain bimatrix game with applications, Fuzzy Optimization and Decision Making,
12(1) (2013), 65-78.
[11] D. Kahneman and A. Tversky, Prospect theory: An analysis of decisions under risk, Econo-
metrica, 47(2) (1979), 263{291.
[12] B. Liu, Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin, 2007.
[13] B. Liu, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems,
2(1) (2008), 3{16.
[14] B. Liu, Theory and Practice of Uncertain Programming, 2nd ed., Springer-Verlag, Berlin,
2009.
[15] B. Liu, Uncertain set theory and uncertain inference rule with application to uncertain control
, Journal of Uncertain Systems, 4(2) (2010), 83{98.
[16] B. Liu, Uncertain risk analysis and uncertain reliability analysis, Journal of Uncertain Sys-
tems, 4(3) (2010), 163{170.
[17] B. Liu, Uncertainty theory: a branch of mathematics for modeling human uncertainty,
Springer-Verlag, Berlin, 2011.
[18] B. Liu, Uncertain logic for modeling human language, Journal of Uncertain Systems, 5(1)
(2011), 3{20.
[19] B. Liu, Why is there a need for uncertainty theory?, Journal of Uncertain Systems, 6(1)
(2012), 3{10.

[20] B. Liu, Extreme value theorems of uncertain process with application to insurance risk model,
Soft Computing, accepted.
[21] Y.H. Liu and M. Ha, Expected value of function of uncertain variables, Journal of Uncertain
Systems, 4(3) (2010), 181{186.
[22] V. P. Marathe and K. P. K. Nair, Multistage planned replacement strategies, Operations
Research, 14(5) (1966), 874{887.
[23] T. Nakagawa, Maintenance theory of reliability, Springer-Verlag, London, 2005.
[24] J. Peng and K. Yao, A new option pricing model for stocks in uncertainty markets, Interna-
tional Journal of Operations Research, 8(2) (2011), 18{26.
[25] Z. Peng and K. Iwamura, A sufficient and necessary condition of uncertainty distribution,
Journal of Interdisciplinary Mathematics, 13(3) (2010), 277{285.
[26] C. Tilquin and R. Cleroux, Block replacement policies with general cost structures, Techno-
metrics, 17(3) (1975), 291{298.
[27] C. Tilquin and R. Cleroux, Periodic replacement with minimal repair at failure and adjustment
costs, Naval Research Logistics Quarterly, 22(2) (1975), 243{254.
[28] X. Wang, Z. Gao and H. Guo, Uncertain hypothesis testing for two experts’ empirical data,
Mathematical and Computer Modelling, 55 (2012), 1478{1482.
[29] K. Yao, Uncertain calculus with renewal process, Fuzzy Optimization and Decision Making,
11(3) (2012), 285{297.
[30] K. Yao and X. Li, Uncertain alternating renewal process and its application, IEEE Transac-
tions on Fuzzy Systems, 20(6) (2012), 1154-1160.
[31] K. Yao, No-arbitrage determinant theorems on mean-reverting stock model in uncertain market
, Knowledge-Based Systems, 35 (2012), 259-263.
[32] K. Yao, Block repalcement policy in uncertain environment, http://orsc.edu.cn/online/
110612.pdf.
[33] K. Yao, Some properties of uncertain renewal process, http://orsc.edu.cn/online/110602.pdf.
[34] C. You, Some convergence theorems of uncertain sequences, Mathematical and Computer
Modelling, 49(3-4) (2009), 482{487.
[35] Y. Zhu, Uncertain optimal control with application to a portfolio selection model, Cybernetics
and Systems, 41(7) (2010), 535{547.