Skip to main content
Log in

Random fuzzy EOQ model with imperfect quality items

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

This paper investigates an economic order quantity (EOQ) problem with imperfect quality items, where the percentage of imperfect quality items in each lot is characterized as a random fuzzy variable while the setup cost per lot, the holding cost of each unit item per day, and the inspection cost of each unit item are characterized as fuzzy variables, respectively. In order to maximize the expected long-run average profit, a random fuzzy EOQ model is constructed. Since it is almost impossible to find an analytic method to solve the proposed model, a particle swarm optimization (PSO) algorithm based on the random fuzzy simulation is designed. Finally, the effectiveness of the designed algorithm is illustrated by a numerical example.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Chang H. (2004) An application of fuzzy sets theory to the EOQ model with imperfect quality items. Computers and Operations Research 31: 2079–2092

    Article  MathSciNet  MATH  Google Scholar 

  • Cheng C. (1991). An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IIE Transactions 23: 23–28

    Article  Google Scholar 

  • Eberhart R., Shi Y. (2001). Particle swarm optimization: Developments, applications and resources. IEEE International Conference on Evolutionary Computation 1: 81–86

    Google Scholar 

  • Goyal S., Cárdenas-Barrón L. (2002). Note on: Economic production quantity model for items with imperfect quality a practical approach. International Journal of Production Economics 77: 85–87

    Article  Google Scholar 

  • Kennedy J., Eberhart R. (1995). Particle swarm optimization. IEEE International Conference on Neural Networks 4: 1942–1948

    Article  Google Scholar 

  • Kwakernaak H. (1978). Fuzzy random variables-I. Information Sciences 15: 1–29

    Article  MathSciNet  MATH  Google Scholar 

  • Kwakernaak H. (1979). Fuzzy random variables-II. Information Sciences 17: 253–278

    Article  MathSciNet  MATH  Google Scholar 

  • Li X., Liu B. (2006a) New independence definition of fuzzy random variable and random fuzzy variable. World Journal of Modelling and Simulation 2: 338–342

    Google Scholar 

  • Li, X., & Liu, B. (2006b). Maximum variance theorems for various types of uncertain variable. Technical Report.

  • Liu B. (2002a) Theory and practice of uncertain programming. Physica-Verlag, Heidelberg

    Book  MATH  Google Scholar 

  • Liu B., Liu Y. (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems 10: 445–450

    Article  Google Scholar 

  • Liu B. (2002b). Toward fuzzy optimization without mathematical ambiguity. Fuzzy Optimization and Decision Making 1: 43–63

    Article  MathSciNet  MATH  Google Scholar 

  • Liu B. (2002c) Random fuzzy dependent-chance programming and its hybrid intelligent algorithm. Information Sciences 141: 259–271

    Article  MATH  Google Scholar 

  • Liu Y., Liu B. (2003) Expected value operator of random fuzzy variable and random fuzzy expected value models. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11: 195–215

    Article  MathSciNet  MATH  Google Scholar 

  • Liu B. (2004) Uncertainty theory: An introduction to its axiomatic foundation. Springer-Verlag, Berlin

    Book  Google Scholar 

  • Liu B. (2006a) A survey of credibility theory. Fuzzy Optimization and Decision Making 5: 387–408

    Article  MathSciNet  MATH  Google Scholar 

  • Liu Y. (2005) Fuzzy programming with recourse. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13: 381–413

    Article  MathSciNet  MATH  Google Scholar 

  • Liu Y. (2006b) Convergent results about the use of fuzzy simulation in fuzzy optimization problems. IEEE Transactions on Fuzzy Systems 14: 295–304

    Article  Google Scholar 

  • Park K. (1987) Fuzzy-set theoretic interpretation of economic order quantity. IEEE Transactions on Systems, Man, and Cybernet 17: 1082–1084

    Article  Google Scholar 

  • Petrović D., Petrović R., Vujošević M. (1996) Fuzzy models for the newsboy problem. International Journal of Production Economics 45: 435–441

    Article  Google Scholar 

  • Porteus E. (1986) Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research 34: 137–144

    Article  MATH  Google Scholar 

  • Rosenblatt M., Lee H. (1986) Economic production cycles with imperfect production processes. IIE Transactions 18: 48–55

    Article  Google Scholar 

  • Ross S. (1996) Stochastic Processes. Wiley, New York

    MATH  Google Scholar 

  • Salameh M., Jaber M. (2000) Economic production quantity model for items with imperfect quality. International Journal of Production Economics 64: 59–64

    Article  Google Scholar 

  • Schwaller R. (1988) EOQ under inspection costs. Production and Inventory Management 29: 22–24

    Google Scholar 

  • Shi, Y., Eberhart, R. (1998). A modified particle swarm optimizer. IEEE International Conference on Evolutionary Computation 69–73.

  • Vujošević M., Petrović D., Petrović R. (1996) EOQ formula when inventory cost is fuzzy. International Journal of Production Economics 45: 499–504

    Article  Google Scholar 

  • Waters C. (1994). Inventory Control and Management. Wiley, Chichester

    Google Scholar 

  • Zhang X., Gerchak Y. (1990) Joint lot sizing and inspection policy in an EOQ model with random yield. IIE Transactions 22: 41–47

    Article  Google Scholar 

  • Zhao R., Tang W., Yun H. (2006) Random fuzzy renewal process. European Journal of Operational Research 169: 189–201

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao, R., & Tang, W. (2006). Random fuzzy renewal reward process. Technical Report.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wansheng Tang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, X., Tang, W. & Zhao, R. Random fuzzy EOQ model with imperfect quality items. Fuzzy Optim Decis Making 6, 139–153 (2007). https://doi.org/10.1007/s10700-007-9002-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10700-007-9002-1

Keywords

Navigation