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The inventory replenishment planning and staggering problem: a bi-objective approach

Author

Listed:
  • Fayez F. Boctor

    (Université Laval)

  • Marie-Claude Bolduc

    (Université Laval)

Abstract

To the best of our knowledge, this paper is the first one to suggest formulating the inventory replenishment problem as a bi-objective decision problem where, in addition to minimizing the sum of order and inventory holding costs, we should minimize the required storage space. Also, it develops two solution methods, called the exploratory method (EM) and the two-population evolutionary algorithm (TPEA), to solve the problem. The proposed methods generate a near-Pareto front of solutions with respect to the considered objectives. As the inventory replenishment problem have never been formulated as a bi-objective problem and as the literature does not provide any method to solve the considered bi-objective problem, we compared the results of the EM to three versions of the TPEA. The results obtained suggest that although the TPEA produces good near-Pareto solutions, the decision maker can apply a combination of both methods and choose among all the obtained solutions.

Suggested Citation

  • Fayez F. Boctor & Marie-Claude Bolduc, 2018. "The inventory replenishment planning and staggering problem: a bi-objective approach," 4OR, Springer, vol. 16(2), pages 199-224, June.
  • Handle: RePEc:spr:aqjoor:v:16:y:2018:i:2:d:10.1007_s10288-017-0362-2
    DOI: 10.1007/s10288-017-0362-2
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    References listed on IDEAS

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    1. Konak, Abdullah & Coit, David W. & Smith, Alice E., 2006. "Multi-objective optimization using genetic algorithms: A tutorial," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 992-1007.
    2. Boctor, Fayez F., 2010. "Offsetting inventory replenishment cycles to minimize storage space," European Journal of Operational Research, Elsevier, vol. 203(2), pages 321-325, June.
    3. Ouenniche, Jamal & Boctor, Fayez F., 2001. "The two-group heuristic to solve the multi-product, economic lot sizing and scheduling problem in flow shops," European Journal of Operational Research, Elsevier, vol. 129(3), pages 539-554, March.
    4. Robinson, Powell & Narayanan, Arunachalam & Sahin, Funda, 2009. "Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms," Omega, Elsevier, vol. 37(1), pages 3-15, February.
    5. Meir J. Rosenblatt & Uriel G. Rothblum, 1990. "On the Single Resource Capacity Problem for Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 38(4), pages 686-693, August.
    6. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    7. Yao, Ming-Jong & Chu, Weng-Ming, 2008. "A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements," Omega, Elsevier, vol. 36(4), pages 619-631, August.
    8. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    9. Shoshana Anily, 1991. "Multi-Item Replenishment and Storage Problem (MIRSP): Heuristics and Bounds," Operations Research, INFORMS, vol. 39(2), pages 233-243, April.
    10. Murthy, Nagesh N. & Benton, W. C. & Rubin, Paul A., 2003. "Offsetting inventory cycles of items sharing storage," European Journal of Operational Research, Elsevier, vol. 150(2), pages 304-319, October.
    11. Klaus Zoller, 1977. "Deterministic Multi-Item Inventory Systems with Limited Capacity," Management Science, INFORMS, vol. 24(4), pages 451-455, December.
    12. Mohammad K. El-Najdawi & Paul R. Kleindorfer, 1993. "Common Cycle Lot-Size Scheduling for Multi-Product, Multi-Stage Production," Management Science, INFORMS, vol. 39(7), pages 872-885, July.
    13. Guillermo Gallego & Maurice Queyranne & David Simchi-Levi, 1996. "Single Resource Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 44(4), pages 580-595, August.
    14. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
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