Imperfect production inventory model with uncertain elapsed time
DOI:
https://doi.org/10.31181/dmame2003102gKeywords:
Inventory, Imperfect production, Uncertain variables, Uncertain distribution, Expected value modelAbstract
Most of the classical inventory control model assumes that all items received conform to quality characteristics. However, in practice, items may be damaged due to production conditions, transportation and environmental conditions. Modelling such real world problems involve various indeterminate phenomena which can be estimated through human beliefs. The uncertainty theory proposed by Liu (2015) is extensively regarded as an appropriate tool to deal with such uncertainty. This paper investigates the optimum production run time and optimum cost in an imperfect production process, where the rate of imperfect items are different in different states of the process. The process may be shifting from ‘in-control’ state to the ‘out-of-control’ state is an uncertain variable with certain uncertainty distribution. Some propositions are derived for the optimal production run time and optimized the expected total cost function per unit time. Finally, numerical examples have been illustrated to study the practical feasibility of the model.
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References
Chen, C. K., & Lo, C. C. (2006). Optimal production run length for products sold with warranty in an imperfect production system with allowable shortages. Mathematical and Computer Modelling, 44, 319-331.
Chen, S. H., Wang, S. T., & Chang S. M. (2005). Optimization of fuzzy production inventory model with repairable defective products under crisp and fuzzy production quantity. International Journal of Operations Research, 2(2), 31-37.
Chen, L., Peng, J., Liu, Z., & Zaho, R. (2016). Pricing and effort decisions for a supply chain with uncertain information. International Journal of Production Research, 55(1), 264-284.
Gao Y., & Kar S., (2017). Uncertain solid transportation problem with product blending. International Journal of Fuzzy Systems, 19(6), 1916-1926.
Hiriga, M., & Ben Daya, M. (1998). The economic manufacturing lot-sizing problem with imperfect production process: Bounds and optimal solutions. Naval Research Logistics, 45, 423-432.
Kar, M. B., Majumder, S., Kar, S., & Pal, T. (2017). Cross-entropy based multi-objective uncertain portfolio selection problem. Journal of Intelligent & Fuzzy Systems, 32(6), 4467-4483.
Ke, H., Li, Y., & Huang ,H. (2015). Uncertain pricing decision problem in closed-loop supply chain with risk-averse retailer. Journal of Uncertainty Analysis and Application, 3, 1-14.
Khouja, M., & Meherez, A (1994). An economic production lot size model with imperfect quality and variable production rate. Journal of the Operational Research Society, 45, 1405-1417.
Liu, B. (2012). Why is there a need for uncertainty theory?. Journal of Uncertainty Systems, 6(1), 3-10.
Liu, B. (2015). Uncertainty theory: A branch of Mathematics for Modeling Human uncertainty. (4th ed.). Berlin: Springer-Verlag.
Liu, B. (2016). Uncertainty theory: A branch of Mathematics for Modeling Human uncertainty. In Liu, B Uncertainty Theory (pp. 1-79). Berlin: Springer-Verlag.
Liu, B. (2009). Theory and Practice of Uncertain Programming. (2nd ed.). Berlin: Springer-Verlag.
Liu, Y., & Ha, M. (2010). Expected value of function of uncertain variables. Journal of Uncertain Systems, 4(3), 181-186.
Liu,Y., Li, X., & Xiong, C. (2015). Reliability analysis of unrepairable systems with uncertain lifetimes. International Journal of Security and its Application, 9(12), 289-298.
Majumder, S., Kar, S., & Pal, T. (2018). Mean-Entropy Model of Uncertain Portfolio Selection Problem. In: JK Mandal, S, Mukhopadhyay, P, Dutta (Eds.), Multi-Objective Optimization: Evolutionary to Hybrid Framework. (pp. 25-54). Singapore: Spinger.
Majumder, S., Kundu, P., Kar, S., Pal, T. (2018a). Uncertain multi-objective multi-item fixed charge solid transportation problem with budget constraint. In Majumder, S., Kundu, P., Kar, S., Pal, T (Eds.), Soft Computing (pp.3279-3301). Berlin: Springer.
Qin, Z., & Kar, S. (2013). Single-period inventory problem under uncertain environment. Applied Mathematics and Computation, 219, 9630-9638.
Qin Z., Kar, S., & Zheng, H. (2016). Uncertain portfolio adjusting model using semiabsolute deviation. Soft Computing, 20(2), 717-725.
Rosenbaltt, M. J., & Lee, H. L. (1986). Economic production cycles with imperfect production process. IIE Transactions, 17, 48-54.
Sana, S. S. (2010). An economic production lot size model in an imperfect production system. European Journal of Operational Research, 201, 158-170.
Sana, S. S. (2010a). A production-inventory model in an imperfect production process. European Journal of Operational Research, 200, 451-64.
Wang, D., Qin Z., & Kar, S. (2015). A novel single period inventory problem with uncertain random demand and its application. Applied Mathematics and Computation, 269, 133-145.
Wang, X., & Tang, W. (2009). Optimal production run length in deteriorating production process with fuzzy elapsed time. Computer and Industrial Engineering, 56, 1627-1632.
Yeh, R. H., Ho, W. T., & Tseng, S. T. (2000). Optimal production run length for products sold with warranty. European Journal of Operational Research, 120, 575-582.
Yeh, R. H., Chen, M. Y., & Lin, C. Y. (2007). Optimal periodic replacement policy for repairable products under free-repair warranty. European Journal of Operational Research, 176, 1678-1686.
Zhou, C., Tang, W., & Zhao, R. (2014). An uncertain search model for recruitment problem with enterprise performance. Journal of Intelligent Manufacturing, 28(3), 695-704.
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