Skip to main content

Optimizing Complex Multi-location Inventory Models Using Particle Swarm Optimization

  • Chapter
Computational Optimization, Methods and Algorithms

Part of the book series: Studies in Computational Intelligence ((SCI,volume 356))

Abstract

The efficient control of logistics systems is a complicated task. Analytical models allow to estimate the effect of certain policies. However, they necessitate the introduction of simplifying assumptions, and therefore, their scope is limited. To surmount these restrictions, we use Simulation Optimization by coupling a simulator that evaluates the performance of the system with an optimizer. This idea is illustrated for a very general class of multi-location inventory models with lateral transshipments. We discuss the characteristics of such models and introduce Particle Swarm Optimization for their optimization. Experimental studies show the applicability of this approach.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arnold, J., Kochel, P., Uhlig, H.: With Parallel Evolution towards the Optimal Order Policy of a Multi-Location Inventory with Lateral Transshipments. In: Papachristos, S., Ganas, I. (eds.) Research Papers of the 3rd ISIR Summer School, pp. 1–14 (1997)

    Google Scholar 

  2. Belgasmi, N., Saïd, L.B., Ghédira, K.: Evolutionary Multiobjective Optimization of the ulti-Location Transshipment Problem. Operational Research 8(2), 167–183 (2008)

    Article  MATH  Google Scholar 

  3. Chiou, C.-C.: Transshipment Problems in Supply Chain Systems: Review and Extensions. Supply Chain, Theory and Applications, 558–579 (2008)

    Google Scholar 

  4. Clerc, M.: Standard PSO (2007), http://www.particleswarm.info/Programs.html Online: accessed July 31, 2010

  5. Clerc, M., Kennedy, J.: The Particle Swarm – Explosion, Stability, and Convergence in a Multidimensional Complex Space. IEEE Transactions on Evolutionary Computation 6(1), 58–73 (2002)

    Article  Google Scholar 

  6. Dye, C.-Y., Hsieh, T.-P.: A Particle Swarm Optimization for Solving Joint Pricing and Lot-Sizing Problem with Fluctuating Demand and Unit Purchasing Cost. Computers & Mathematics with Applications 60, 1895–1907 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  7. Evers, P.T.: Heuristics for Assessing Emergency Transshipments. European Journal of Operational Research 129, 311–316 (2001)

    Article  MATH  Google Scholar 

  8. Fu, M.C., Healy, K.J.: Techniques for Optimization via Simulation: An Experimental Study on an (s;S) Inventory System. IIE Transactions 29, 191–199 (1997)

    Google Scholar 

  9. Fu, M.C., Glover, F.W., April, J.: Simulation Optimization: A Review, New Developments and Applications. In: Kuhl, M.E., Steiger, N.M., Armstrong, F.P., Joines, J.A. (eds.) Proceedings of the 2005 Winter Simulation Conference, pp. 83–95 (2005)

    Google Scholar 

  10. Gong, Y., Yücesan, E.: Stochastic Optimization for Transshipment Problems with Positive Replenishment Lead Times. International Journal of Production Economics (2010) (in Press, Corrected Proof)

    Google Scholar 

  11. Guariso, G., Hitz, M., Werthner, H.: An Integrated Simulation and Optimization Modelling Environment for Decision Support. Decision Support Systems 16(2), 103–117 (1996)

    Article  Google Scholar 

  12. Herer, Y.T., Tzur, M., Yücesan, E.: The Multilocation Transshipment Problem. IIE Transactions 38, 185–200 (2006)

    Article  Google Scholar 

  13. Hochmuth, C.A.: Design and Implementation of a Software Tool for Simulation Optimization of Multi-Location Inventory Systems with Transshipments. Master’s thesis, Chemnitz University of Technology, In German (2008)

    Google Scholar 

  14. Hochmuth, C.A., Lássig, J., Thiem, S.: Simulation-Based Evolutionary Optimization of Complex Multi-Location Inventory Models. In: 3rd IEEE International Conference on Computer Science and Information Technology (ICCSIT), vol. 5, pp. 703–708 (2010)

    Google Scholar 

  15. Iassinovski, S., Artiba, A., Bachelet, V., Riane, F.: Integration of Simulation and Optimization for Solving Complex Decision Making Problems. International Journal of Production Economics 85(1), 3–10 (2003)

    Article  Google Scholar 

  16. Kämpf, M., Köchel, P.: Simulation-Based Sequencing and Lot Size Optimisation for a Production-and-Inventory System with Multiple Items. International Journal of Production Economics 104, 191–200 (2006)

    Article  Google Scholar 

  17. Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proceedings of IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948 (1995)

    Google Scholar 

  18. Köchel, P.: About the Optimal Inventory Control in a System of Locations: An Approximate Solution. Mathematische Operationsforschung und Statistik, Serie Optimisation 8, 105–118 (1977)

    Google Scholar 

  19. Köchel, P.: A Survey on Multi-Location Inventory Models with Lateral Transshipments. In: Papachristos, S., Ganas, I. (eds.) Inventory Modelling in Production and Supply Chains, Research Papers of the 3rd ISIR Summer School, Ioannina, Greece, pp. 183–207 (1998)

    Google Scholar 

  20. Köchel, P.: Simulation Optimisation: Approaches, Examples, and Experiences. Technical Report CSR-09-03, Department of Computer Science, Chemnitz University of Technology (2009)

    Google Scholar 

  21. Kochel, P., Arnold, J.: Evolutionary Algorithms for the Optimization of Multi-Location Systems with Transport. In: Simulationstechnik, Proceedings of the 10th Symposium in Dresden, pp. 461–464. Vieweg (1996)

    Google Scholar 

  22. Köchel, P., Nieländer, U.: Simulation-Based Optimisation of Multi-Echelon Inventory Systems. International Journal of Production Economics 93-94, 505–513 (2005)

    Article  Google Scholar 

  23. Köchel, P., Thiem, S.: Search for Good Policies in a Single-Warehouse, Multi-Retailer System by Particle Swarm Optimisation. International Journal of Production Economics (2010) (in press, corrected proof)

    Google Scholar 

  24. Kukreja, A., Schmidt, C.P.: A Model for Lumpy Parts in a Multi-Location Inventory System with Transshipments. Computers & Operations Research 32, 2059–2075 (2005)

    Article  MATH  Google Scholar 

  25. Kukreja, A., Schmidt, C.P., Miller, D.M.: Stocking Decisions for Low- Usage Items in a Multilocation Inventory System. Management Science 47, 1371–1383 (2001)

    Article  Google Scholar 

  26. Li, J., González, M., Zhu, Y.: A Hybrid Simulation Optimization Method for Production Planning of Dedicated Remanufacturing. International Journal of Production Economics 117(2), 286–301 (2009)

    Article  Google Scholar 

  27. Minner, S., Silver, E.A., Robb, D.J.: An Improved Heuristic for Deciding on Emergency Transshipments. European Journal of Operational Research 148, 384–400 (2003)

    Article  MATH  Google Scholar 

  28. Özdemir, D., Yücesan, E., Herer, Y.T.: Multi-Location Transshipment Problem with Capacitated Transportation. European Journal of Operational Research 175(1), 602–621 (2006)

    Article  MATH  Google Scholar 

  29. Parsopoulos, K.E., Skouri, K., Vrahatis, M.N.: Particle swarm optimization for tackling continuous review inventory models. In: Giacobini, M., Brabazon, A., Cagnoni, S., Di Caro, G.A., Drechsler, R., Ekárt, A., Esparcia-Alcázar, A.I., Farooq, M., Fink, A., McCormack, J., O’Neill, M., Romero, J., Rothlauf, F., Squillero, G., Uyar, A.Ş., Yang, S. (eds.) EvoWorkshops 2008. LNCS, vol. 4974, pp. 103–112. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  30. Robinson, L.W.: Optimal and Approximate Policies in Multi-Period Multi- Location Inventory Models with Transshipments. Operations Research 38, 278–295 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  31. Ruppeiner, G., Pedersen, J.M., Salamon, P.: Ensemble Approach to Simulated annealing. Jounal de Physique I 1(4), 455–470 (1991)

    Article  Google Scholar 

  32. Willis, K.O., Jones, D.F.: Multi-Objective Simulation Optimization through Search Heuristics and Relational Database Analysis. Decision Support Systems 46(1), 277–286 (2008)

    Article  Google Scholar 

  33. Xu, K., Evers, P.T., Fu, M.C.: Estimating Customer Service in a Two- Location Continuous Review Inventory Model with Emergency Transshipments. European Journal of Operational Research 145, 569–584 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  34. Zhan, Z.-H., Feng, X.-L., Gong, Y.-J., Zhang, J.: Solving the Flight Frequency Programming Problem with Particle Swarm Optimization. In: Proceedings of the 11th Congress on Evolutionary Computation, CEC 2009, pp. 1383–1390. IEEE Press, Los Alamitos (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hochmuth, C.A., Lässig, J., Thiem, S. (2011). Optimizing Complex Multi-location Inventory Models Using Particle Swarm Optimization. In: Koziel, S., Yang, XS. (eds) Computational Optimization, Methods and Algorithms. Studies in Computational Intelligence, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20859-1_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20859-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20858-4

  • Online ISBN: 978-3-642-20859-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics