Abstract
This paper considers inventory lot-sizing optimization with supplier selection (LS-SS) problem under uncertain environment where the demand of products, the supplier-dependent transportation costs and the quality level of products are all known but not exactly. These uncertain quantities are modeled by using uncertainty theory which has been proved to be more suitable to model uncertain quantities than probability theory and fuzzy theory in some situations. An uncertain integer linear programming model is presented and then converted to equivalent crisp model and is solved with a genetic algorithm. Finally, a numerical example is show to illustrate the effectiveness of the proposed algorithm.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Purohit AK et al (2016) Inventory lot-sizing with supplier selection under non-stationary stochastic demand. Int J Prod Res 54(8):2459–2469
Basnet C, Leung JMY (2005) Inventory lot-sizing with supplier selection. Comput Oper Res 32(1):1–14
Rezaei J, Davoodi M (2011) Multi-objective models for lot-sizing with supplier selection. Int J Prod Econ 130(1):77–86
Wong KY (2015) Sustainable supplier selection and order lot-sizing: an integrated multi-objective decision-making process. Int J Prod Res 53(2):383–408
Ghaniabadi M, Mazinani A (2017) Dynamic lot sizing with multiple suppliers, backlogging and quantity discounts. Comput Ind Eng 110:67–74
Rezaei J, Davoodi M (2006) Genetic algorithm for inventory lot-sizing with supplier selection under fuzzy demand and costs. In: International conference on advances in applied artificial intelligence: industrial, engineering and other applications of applied intelligent systems
Kang H-Y, Lee AHI (2013) A stochastic lot-sizing model with multi-supplier and quantity discounts. Int J Prod Res 51(1):245–263
Liu B (2012) Why is there a need for uncertainty theory. J Uncertain Syst 6(1):3–10
Liu B (2007) Uncertainty theory. Springer Publishing Company, Incorporated
Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. DBLP
Zhu Y (2010) Uncertain optimal control with application to portfolio selection model. J Cybern 41(7):535–547
Liu Y, Chen X, Ralescu DA (2015) Uncertain currency model and currency option pricing. Int J Intell Syst 30(1):40–51
Memon MS et al (2015) Group multi-criteria supplier selection using combined grey systems theory and uncertainty theory. Expert Syst Appl 42(21):7951–7959
Hu K et al (2017) A new model for single machine scheduling with uncertain processing time. J Intell Manuf 28(3):1–9
Acknowledgements
This work was supported by National Natural Science Foundation of China (No. 71471038), Program for Huiyuan Distinguished Young Scholars, UIBE (No. 17JQ09), and Foundation for Disciplinary Development of SITM in UIBE.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Li, W. (2020). Inventory Lot-Sizing Optimization with Supplier Selection Under Uncertain Environment. In: Li, X., Xu, X. (eds) Proceedings of the Sixth International Forum on Decision Sciences. Uncertainty and Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-13-8229-1_10
Download citation
DOI: https://doi.org/10.1007/978-981-13-8229-1_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8228-4
Online ISBN: 978-981-13-8229-1
eBook Packages: Business and ManagementBusiness and Management (R0)