How to cite this paper
Joshi, M & Soni, H. (2011). (Q, R) inventory model with service level constraint and variable lead time in fuzzy-stochastic environment.International Journal of Industrial Engineering Computations , 2(4), 901-912.
Refrences
Ben-Daya, M., & Raouf, A. (1994). Inventory models involving lead time as decision variable. Journal of the Operational Research Society, 45, 579–582.
Chang, H. C., Yao, J. S. & Ouynag, L. Y. (2004). Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number. Computer and Mathematical Modeling, 39, 287–304.
Chang, H. C., Yao, J. S. & Ouynag, L. Y. (2006). Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand. European Journal of Operational Research, 169, 65–80.
Dutta, P., Chakraborty, D. & Roy, A. R. (2007). Continuous review inventory model in mixed fuzzy and stochastic environment. Applied Mathematics and Computation, 188, 970–980.
Gil, M. A., Miguel ,L. D., & Ralescu, D. A. (2006). Overview on the development of fuzzy random variables. Fuzzy Sets Systems, 157, 2546–2557.
Hariga, M., & Ben-Daya, M. (1999). Some stochastic inventory models with deterministic variable lead time. European Journal of Operational Research, 113, 42–51.
Liao, C.J., & Shyu, C.H. (1991). An analytical determination of lead time with normal demand. International Journal of Operations and Production Management, 11, 72–78.
Liu, B. (2007). Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin.
Liu, B., & Iwamura, K. (1998). Chance constrained programming with fuzzy parameters. Fuzzy Sets and Systems, 94, 227–237.
Liu, B., & Liu, Y. K. (2001). Expected value of fuzzy variable and fuzzy expected value model, IEEE Transactions on Fuzzy Systems, 12, 253–262.
Liu, B., & Liu, Y. K. (2003). Fuzzy random variable: A scalar expected value operator. Fuzzy Optimization and Decision Making, 2, 143–160.
Montgomery, D.C., Bazaraa, M.S., & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly, 20, 255–263.
Moon, I., & Choi, S. (1998). A note on lead time and distribution assumptions in continuous reviews inventory models. Computer and Operations Research, 25, 1007–1012.
Ouyang, L.Y., & Wu, K.S. (1997). Mixture inventory models involving variable lead time with a service level constraint. Computer and Operations Research, 24, 875–882.
Ouyang, L.Y., & Chang, H. C. (2000). Mixture inventory models involving setup cost reduction with a service level constraint. Operational Research Society of India, 37, 327–326.
Tersine, K. D. (1982). Principles of inventory and materials management, New York: North-Holland.
Venkataraman, P. (2009). Applied Optimization with MATLAB Programming, John Wiley, New York: Rochester.
Wu, J.K., & Tsai, H.Y. (2001). Mixture inventory model with back orders and lost sales for variable lead time demand with the mixture of normal distribution. International Journal of Systems Science, 32, 259–268.
Chang, H. C., Yao, J. S. & Ouynag, L. Y. (2004). Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number. Computer and Mathematical Modeling, 39, 287–304.
Chang, H. C., Yao, J. S. & Ouynag, L. Y. (2006). Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand. European Journal of Operational Research, 169, 65–80.
Dutta, P., Chakraborty, D. & Roy, A. R. (2007). Continuous review inventory model in mixed fuzzy and stochastic environment. Applied Mathematics and Computation, 188, 970–980.
Gil, M. A., Miguel ,L. D., & Ralescu, D. A. (2006). Overview on the development of fuzzy random variables. Fuzzy Sets Systems, 157, 2546–2557.
Hariga, M., & Ben-Daya, M. (1999). Some stochastic inventory models with deterministic variable lead time. European Journal of Operational Research, 113, 42–51.
Liao, C.J., & Shyu, C.H. (1991). An analytical determination of lead time with normal demand. International Journal of Operations and Production Management, 11, 72–78.
Liu, B. (2007). Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin.
Liu, B., & Iwamura, K. (1998). Chance constrained programming with fuzzy parameters. Fuzzy Sets and Systems, 94, 227–237.
Liu, B., & Liu, Y. K. (2001). Expected value of fuzzy variable and fuzzy expected value model, IEEE Transactions on Fuzzy Systems, 12, 253–262.
Liu, B., & Liu, Y. K. (2003). Fuzzy random variable: A scalar expected value operator. Fuzzy Optimization and Decision Making, 2, 143–160.
Montgomery, D.C., Bazaraa, M.S., & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly, 20, 255–263.
Moon, I., & Choi, S. (1998). A note on lead time and distribution assumptions in continuous reviews inventory models. Computer and Operations Research, 25, 1007–1012.
Ouyang, L.Y., & Wu, K.S. (1997). Mixture inventory models involving variable lead time with a service level constraint. Computer and Operations Research, 24, 875–882.
Ouyang, L.Y., & Chang, H. C. (2000). Mixture inventory models involving setup cost reduction with a service level constraint. Operational Research Society of India, 37, 327–326.
Tersine, K. D. (1982). Principles of inventory and materials management, New York: North-Holland.
Venkataraman, P. (2009). Applied Optimization with MATLAB Programming, John Wiley, New York: Rochester.
Wu, J.K., & Tsai, H.Y. (2001). Mixture inventory model with back orders and lost sales for variable lead time demand with the mixture of normal distribution. International Journal of Systems Science, 32, 259–268.