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Evolutionary Adaptation of (r, Q) Inventory Management Policy in Complex Distribution Systems

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Computer Information Systems and Industrial Management (CISIM 2020)

Abstract

The paper addresses the inventory control problem in logistic networks with complex, mesh-type interconnection structure. Contrary to the majority of previously analyzed models, the considered topology does not assume any simplifications nor restrictions in the way the nodes are linked with each other. The system encompasses two types of actors – retailers and suppliers – connected via unidirectional links with non-negligible transshipment delay. The uncertain external demand may be imposed on any retailer and backordering is not allowed. The resource distribution is governed using the classical (r, Q) inventory management policy implemented in a distributed way. In this work, the continuous genetic algorithm is applied for automatic selection of reorder point r and shipment quantity Q. The optimization process aims to provide a trade-off between the economic costs and customer satisfaction. Numerous simulations are performed to evaluate the effectiveness of genetic algorithm performance in the considered class of problems.

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References

  1. Dhingra, S., Ottaviano, G., Sampson, T., Van Reenen, J.: The consequences of Brexit for UK trade and living standards. Centre for Economic Performance, London School of Economics and Political Science (2016)

    Google Scholar 

  2. Fan, T., Tao, F., Deng, S., Li, S.: Impact of RFID technology on supply chain decisions with inventory inaccuracies. Int. J. Prod. Econ. 159, 117–125 (2015)

    Article  Google Scholar 

  3. Mamalis, A.G., Spentzas, K.N., Mamali, A.A.: The impact of automotive industry and its supply chain to climate change: somme techno-economic aspects. Eur. Transp. Res. Rev. 5(1), 1–10 (2013)

    Article  Google Scholar 

  4. Sarker, M., Hossin, M., Yin, X., Sarkar, M.: One Belt One Road Initiative of China: implication for future of global development. Mod. Econ. 9, 623–638 (2018)

    Article  Google Scholar 

  5. Liu, X., Zhanga, K., Chen, B., Zhou, J., Miao, L.: Analysis of logistics service supply chain for the One Belt and One Road initiative of China. Transp. Res. Part E Logist. Transp. Rev. 117, 23–39 (2018)

    Article  Google Scholar 

  6. Ignaciuk, P.: Discrete inventory control in systems with perishable goods – a time-delay system perspective. IET Control Theory Appl. 8(1), 11–21 (2014)

    Article  MathSciNet  Google Scholar 

  7. Wieczorek, Ł., Ignaciuk, P.: Robust tuning of order-up-to policy in goods distribution networks with lead-time perturbations. In: 8th International Conference on Digital Information and Communication Technology and its Applications, Poland, pp. 22–27 (2018)

    Google Scholar 

  8. Ignaciuk, P., Bartoszewicz, A.: Linear-quadratic optimal control of periodic-review perishable inventory systems. IEEE Trans. Control Syst. Technol. 20(5), 1400–1407 (2012)

    Article  Google Scholar 

  9. Yang, C.T., Ouyang, L.Y., Wu, K.S., Yen, H.F.: Optimal ordering policy in response to a temporary sale price when retailer’s warehouse capacity is limited. Eur. J. Ind. Eng. 6(1), 26–49 (2012)

    Article  Google Scholar 

  10. Arts, J., Kiesmüller, G.P.: Analysis of a two-echelon inventory system with two supply modes. Eur. J. Oper. Res. 225(2), 263–272 (2013)

    Article  MathSciNet  Google Scholar 

  11. Ignaciuk, P.: Discrete-time control of production-inventory systems with deteriorating stock and unreliable supplies. IEEE Trans. Syst. Man Cybern. Syst. 45(2), 338–348 (2015)

    Article  Google Scholar 

  12. Ignaciuk, P.: Nonlinear inventory control with discrete sliding modes in systems with uncertain delay. IEEE Trans. Ind. Inform. 10(1), 559–568 (2014)

    Article  MathSciNet  Google Scholar 

  13. Cattani, K.D., Jacobs, F.R., Schoenfelder, J.: Common inventory modeling assumptions that fall short: arborescent networks, Poisson demand, and single-echelon approximations. J. Oper. Manag. 29(5), 488–499 (2011)

    Article  Google Scholar 

  14. Jauhar, S.K., Pant, M.: Genetic algorithms in supply chain management: a critical analysis of the literature. Sadhana 41, 993–1017 (2016)

    Article  MathSciNet  Google Scholar 

  15. Amaran, S., Sahinidis, N.V., Sharda, B., Bury, S.J.: Simulation optimization: a review of algorithms and applications. Ann. Oper. Res. 240, 351–380 (2016)

    Article  MathSciNet  Google Scholar 

  16. Lee, C.K.H.: A review of applications of genetic algorithms in operations management. Eng. Appl. Artif. Intell. 76, 1–12 (2018)

    Article  Google Scholar 

  17. Axsäter, S.: Inventory Control. Springer, New York (2015). https://doi.org/10.1007/978-3-319-15729-0

    Book  MATH  Google Scholar 

  18. Ignaciuk, P., Wieczorek, Ł.: Networked base-stock inventory control in complex distribution systems. Math. Probl. Eng. 2019(3754367), 1–14 (2019)

    Article  MathSciNet  Google Scholar 

  19. Ignaciuk, P.: DSM relay control of logistic networks under delayed replenishments and uncertain demand. In: 24th Mediterranean Conference on Control and Automation, pp. 250–255, Greece, (2016)

    Google Scholar 

  20. Simon, D.: Evolutionary Optimization Algorithms. Wiley, New York (2013)

    Google Scholar 

  21. Federgruen, A., Zheng, Y.S.: An efficient algorithm for computing an optimal (r, Q) policy in continuous review stochastic inventory systems. Oper. Res. 40(4), 633–825 (1992)

    Article  Google Scholar 

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Correspondence to Łukasz Wieczorek .

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Ignaciuk, P., Wieczorek, Ł. (2020). Evolutionary Adaptation of (r, Q) Inventory Management Policy in Complex Distribution Systems. In: Saeed, K., Dvorský, J. (eds) Computer Information Systems and Industrial Management. CISIM 2020. Lecture Notes in Computer Science(), vol 12133. Springer, Cham. https://doi.org/10.1007/978-3-030-47679-3_13

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  • DOI: https://doi.org/10.1007/978-3-030-47679-3_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47678-6

  • Online ISBN: 978-3-030-47679-3

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