Skip to main content
Log in

Integrated inventory and production policy for manufacturing with perishable raw materials

  • Published:
Annals of Mathematics and Artificial Intelligence Aims and scope Submit manuscript

Abstract

This research investigates an integrated inventory and production scheduling problem (IIPSP) in a manufacturer that deals with the perishable goods. The objective is to find an optimal schedule to minimize the sum of inventory cost and production cost. Both single-plant problem and multi-plant problem are investigated in this paper. For the single-plant problem, we prove that it is optimal to arrange the processing of raw materials in descending order of the value of the product of consumption rate and unit inventory cost. For the more complex multi-plant problem, we first prove that it is NP-hard, and then, we propose a hybrid intelligent algorithm to solve it. The experiments show that the proposed algorithm is superior to several other algorithms in both effectiveness and efficiency.

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.

Similar content being viewed by others

References

  1. Sana, S., Chaudhuri, K.S., Mahavidyalaya, B.: On a volume flexible production policy for a deteriorating item with time-dependent demand and shortages. Advanced Modeling and Optimization. 6(1), 57–74 (2004)

    MathSciNet  MATH  Google Scholar 

  2. Amorim, P., Günther, H.O., Almada-Lobo, B.: Multi-objective integrated production and distribution planning of perishable products. Int. J. Prod. Econ. 138(1), 89–101 (2012)

    Article  Google Scholar 

  3. Belo-Filho, M.A.F., Amorim, P., Almada-Lobo, B.: An adaptive large neighborhood search for the operational integrated production and distribution problem of perishable products. Int. J. Prod. Res. 53(20), 6040–6058 (2015)

    Article  Google Scholar 

  4. Farahani, P., Grunow, M., Günther, H.O.: Integrated production and distribution planning for perishable food products. Flex. Serv. Manuf. J. 24(1), 28–51 (2012)

    Article  Google Scholar 

  5. Devapriya, P., Ferrell, W., Geismar, N.: Integrated production and distribution scheduling with a perishable product. Eur. J. Oper. Res. 259(3), 906–916 (2017)

    Article  MathSciNet  Google Scholar 

  6. Chen, H.K., Hsueh, C.F., Chang, M.S.: Production scheduling and vehicle routing with time windows for perishable food products. Comput. Oper. Res. 36(7), 2311–2319 (2009)

    Article  MathSciNet  Google Scholar 

  7. Ekşioğlu, S. D., & Jin, M. (2006, May). Cross-facility production and transportation planning problem with perishable inventory. In International Conference on Computational Science and Its Applications (pp. 708-717). Springer, Berlin, Heidelberg

  8. Seyedhosseini, S.M., Ghoreyshi, S.M.: An integrated model for production and distribution planning of perishable products with inventory and routing considerations. Mathematical Problems in Engineering. 2014 (2014)

  9. Vahdani, B., Niaki, S.T.A., Aslanzade, S.: Production-inventory-routing coordination with capacity and time window constraints for perishable products: heuristic and meta-heuristic algorithms. J. Clean. Prod. 161, 598–618 (2017)

    Article  Google Scholar 

  10. Qiu, Y., Qiao, J., Pardalos, P.M.: Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory. Omega. 82, 193–204 (2019)

    Article  Google Scholar 

  11. Weiss, H.J.: Economic order quantity models with nonlinear holding costs. Eur. J. Oper. Res. 9(1), 56–60 (1982)

    Article  Google Scholar 

  12. Ferguson, M., Jayaraman, V., Souza, G.C.: Note: an application of the EOQ model with nonlinear holding cost to inventory management of perishables. Eur. J. Oper. Res. 180(1), 485–490 (2007)

    Article  Google Scholar 

  13. Pando, V., García-Laguna, J., San-José, L.A.: Optimal policy for profit maximising in an EOQ model under non-linear holding cost and stock-dependent demand rate. Int. J. Syst. Sci. 43(11), 2160–2171 (2012)

    Article  MathSciNet  Google Scholar 

  14. San-José, L.A., Sicilia, J., García-Laguna, J.: Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost. Omega. 54, 147–157 (2015)

    Article  Google Scholar 

  15. Weng, M.X., Lu, J., Ren, H.: Unrelated parallel machine scheduling with setup consideration and a total weighted completion time objective. Int. J. Prod. Econ. 70(3), 215–226 (2001)

    Article  Google Scholar 

  16. Atashpaz-Gargari, E., & Lucas, C. (2007, September). Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition. In 2007 IEEE congress on evolutionary computation (pp. 4661-4667). IEEE

  17. Seidgar, H., Kiani, M., Abedi, M., Fazlollahtabar, H.: An efficient imperialist competitive algorithm for scheduling in the two-stage assembly flow shop problem. Int. J. Prod. Res. 52(4), 1240–1256 (2014)

    Article  Google Scholar 

  18. Kayvanfar, V., Zandieh, M.: The economic lot scheduling problem with deteriorating items and shortage: an imperialist competitive algorithm. Int. J. Adv. Manuf. Technol. 62(5–8), 759–773 (2012)

    Article  Google Scholar 

  19. Lian, K., Zhang, C., Gao, L., Li, X.: Integrated process planning and scheduling using an imperialist competitive algorithm. Int. J. Prod. Res. 50(15), 4326–4343 (2012)

    Article  Google Scholar 

  20. Bahrami, H., Faez, K., & Abdechiri, M. (2010, March). Imperialist competitive algorithm using chaos theory for optimization (CICA). In 2010 12th International Conference on Computer Modelling and Simulation (pp. 98-103). IEEE

  21. Duan, H., Xu, C., Liu, S., Shao, S.: Template matching using chaotic imperialist competitive algorithm. Pattern Recogn. Lett. 31(13), 1868–1875 (2010)

    Article  Google Scholar 

  22. Talatahari, S., Azar, B.F., Sheikholeslami, R., Gandomi, A.H.: Imperialist competitive algorithm combined with chaos for global optimization. Commun. Nonlinear Sci. Numer. Simul. 17(3), 1312–1319 (2012)

    Article  MathSciNet  Google Scholar 

  23. Mladenović, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24(11), 1097–1100 (1997)

    Article  MathSciNet  Google Scholar 

  24. Gonçalves, J.F., Resende, M.G.: Biased random-key genetic algorithms for combinatorial optimization. J. Heuristics. 17(5), 487–525 (2011)

    Article  Google Scholar 

  25. Eberhart, R. C., & Hu, X. (1999, July). Human tremor analysis using particle swarm optimization. In proceedings of the 1999 congress on evolutionary computation-CEC99 (Cat. No. 99TH8406) (Vol. 3, pp. 1927-1930). IEEE

  26. Zandieh, M., Khatami, A.R., Rahmati, S.H.A.: Flexible job shop scheduling under condition-based maintenance: improved version of imperialist competitive algorithm. Appl. Soft Comput. 58, 449–464 (2017). https://doi.org/10.1016/J.ASOC.2017.04.060

    Article  Google Scholar 

  27. Ruiz, E., Soto-Mendoza, V., Barbosa, A.E.R., Reyes, R.: Solving the open vehicle routing problem with capacity and distance constraints with a biased random key genetic algorithm. Comput. Ind. Eng. 133, 207–219 (2019)

    Article  Google Scholar 

  28. Nickabadi, A., Ebadzadeh, M.M., Safabakhsh, R.: A novel particle swarm optimization algorithm with adaptive inertia weight. Appl. Soft Comput. 11(4), 3658–3670 (2011)

    Article  Google Scholar 

  29. Zhou, S., Liu, M., Chen, H., Li, X.: An effective discrete differential evolution algorithm for scheduling uniform parallel batch processing machines with non-identical capacities and arbitrary job sizes. Int. J. Prod. Econ. 179, 1–11 (2016). https://doi.org/10.1016/J.IJPE.2016.05.014

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 71922009, 71871080, 72071056, 71690235, 71501058, 71601060), and Innovative Research Groups of the National Natural Science Foundation of China (71521001), Anhui Province Natural Science Foundation (No. 1908085MG223, No. 2008085QG341), Base of Introducing Talents of Discipline to Universities for Optimization and Decision-making in the Manufacturing Process of Complex Product (111 projects), the Project of Key Research Institute of Humanities and Social Science in University of Anhui Province, Open Research Fund Program of Key Laboratory of Process Optimization and Intelligent Decision-making(Hefei University of Technology), Ministry of Education. Prof. Panos M. Pardalos was supported by a Humboldt Research Award (Germany).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Min Kong or Jun Pei.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hu, C., Kong, M., Pei, J. et al. Integrated inventory and production policy for manufacturing with perishable raw materials. Ann Math Artif Intell 89, 777–797 (2021). https://doi.org/10.1007/s10472-021-09739-1

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10472-021-09739-1

Keywords

Navigation