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A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements

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  • Yao, Ming-Jong
  • Chu, Weng-Ming

Abstract

In a supply chain, it is an important issue for logistic managers to offset the replenishment cycles of multiple products sharing a warehouse so as to minimize the maximum warehouse space requirement (MWSR). Most of the studies in the literature assume that warehouses replenish at the beginning of some basic planning period. In this paper, we relax this assumption by allowing the warehouse to replenish at any time. In order to solve this problem, we conduct theoretical analysis based on Fourier series and Fourier transforms and propose a procedure that is used to calculate MWSR efficiently for any given replenishment schedule. Then, we employ this procedure in a genetic algorithm (GA) to search for the optimal replenishment schedule. Using randomly generated instances, we show that the proposed GA significantly outperforms a previously published heuristic.

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  • 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.
    • Handle: RePEc:eee:jomega:v:36:y:2008:i:4:p:619-631
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    References listed on IDEAS

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    1. Khouja, Moutaz & Park, Sungjune, 2003. "Optimal lot sizing under continuous price decrease," Omega, Elsevier, vol. 31(6), pages 539-545, December.
    2. Teunter, Ruud, 2005. "A note on "Khouja and Park, optimal lot sizing under continuous price decrease, Omega 31 (2003)"," Omega, Elsevier, vol. 33(6), pages 467-471, December.
    3. 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.
    4. Klaus Zoller, 1977. "Deterministic Multi-Item Inventory Systems with Limited Capacity," Management Science, INFORMS, vol. 24(4), pages 451-455, December.
    5. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
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    Cited by:

    1. Naiming Xie & Alan Pearman, 2014. "Forecasting energy consumption in China following instigation of an energy-saving policy," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 74(2), pages 639-659, November.
    2. Dorit S. Hochbaum & Xu Rao, 2019. "The Replenishment Schedule to Minimize Peak Storage Problem: The Gap Between the Continuous and Discrete Versions of the Problem," Operations Research, INFORMS, vol. 67(5), pages 1345-1361, September.
    3. Zhang, Wei & Rajaram, Kumar, 2017. "Managing limited retail space for basic products: Space sharing vs. space dedication," European Journal of Operational Research, Elsevier, vol. 263(3), pages 768-781.
    4. 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.
    5. Zhao, Ze & Wang, Jianzhou & Zhao, Jing & Su, Zhongyue, 2012. "Using a Grey model optimized by Differential Evolution algorithm to forecast the per capita annual net income of rural households in China," Omega, Elsevier, vol. 40(5), pages 525-532.
    6. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2011. "Maximal network reliability for a stochastic power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1332-1339.
    7. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2012. "Determining the optimal double-component assignment for a stochastic computer network," Omega, Elsevier, vol. 40(1), pages 120-130, January.
    8. Cui, Yaodong & Gu, Tianlong & Hu, Wei, 2009. "A cutting-and-inventory control problem in the manufacturing industry of stainless steel wares," Omega, Elsevier, vol. 37(4), pages 864-875, August.
    9. Ming-Jong Yao & Jia-Yen Huang, 2017. "Optimal lot-sizing and joint replenishment strategy under a piecewise linear warehousing cost structure," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 791-803, March.

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