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Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects

Author

Listed:
  • Aria Shahsavar

    (Islamic Azad University)

  • Nima Zoraghi

    (Islamic Azad University)

  • Babak Abbasi

    (RMIT University)

Abstract

Minimizing the costs in a project is highly tied with the way the required resources are provided. The resource investment problem deals with how to employ the renewable resources such that the related costs are minimized. Furthermore, the material ordering problem alludes to outlining a proper plan for supplying the nonrenewable resources (materials) to minimize the associated costs. The present paper studies the integration of the resource investment problem with the quantity discount problem in material ordering to thoroughly investigate the resource costs of projects in a single circumstance. The integrated model is presented and mathematically formulated. Three hybrid procedures are proposed for the model, each of which includes a genetic algorithm combined with a dynamic programming, a simulated annealing or a particle swarm optimization algorithm. The mathematical formulations of some small instances are solved to be the subject of an exact comparison with hybrid procedures. The proposed procedures are tested on a set of 810 benchmarks known in the literature. The computational experiments reported by algorithms validate the efficiency of the hybrid genetic algorithm and dynamic programming for the model more than other hybrid approaches.

Suggested Citation

  • Aria Shahsavar & Nima Zoraghi & Babak Abbasi, 2018. "Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects," Operational Research, Springer, vol. 18(2), pages 315-342, July.
    • Handle: RePEc:spr:operea:v:18:y:2018:i:2:d:10.1007_s12351-016-0266-5
    DOI: 10.1007/s12351-016-0266-5
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    1. Erik Demeulemeester, 1995. "Minimizing Resource Availability Costs in Time-Limited Project Networks," Management Science, INFORMS, vol. 41(10), pages 1590-1598, October.
    2. Munson, C.L. & Hu, J., 2010. "Incorporating quantity discounts and their inventory impacts into the centralized purchasing decision," European Journal of Operational Research, Elsevier, vol. 201(2), pages 581-592, March.
    3. Awi Federgruen & Chung‐Yee Lee, 1990. "The dynamic lot size model with quantity discount," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 707-713, October.
    4. Alan S. Manne, 1958. "Programming of Economic Lot Sizes," Management Science, INFORMS, vol. 4(2), pages 115-135, January.
    5. Hark-Chin Hwang & Wilco van den Heuvel & Albert Wagelmans, 2013. "The economic lot-sizing problem with lost sales and bounded inventory," IISE Transactions, Taylor & Francis Journals, vol. 45(8), pages 912-924.
    6. Thomas Schmitt & Bruce Faaland, 2004. "Scheduling recurrent construction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1102-1128, December.
    7. Shadrokh, Shahram & Kianfar, Fereydoon, 2007. "A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty," European Journal of Operational Research, Elsevier, vol. 181(1), pages 86-101, August.
    8. Munson, Charles L. & Jackson, Jonathan, 2015. "Quantity Discounts: An Overview and Practical Guide for Buyers and Sellers," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 8(1-2), pages 1-130, June.
    9. A Drexl & A Kimms, 2001. "Optimization guided lower and upper bounds for the resource investment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 340-351, March.
    10. Erdem Colak & Meral Azizoglu, 2014. "A resource investment problem with time/resource trade-offs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(5), pages 777-790, May.
    11. Yamashita, Denise Sato & Armentano, Vinicius Amaral & Laguna, Manuel, 2006. "Scatter search for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 169(2), pages 623-637, March.
    12. Behrouz Afshar-Nadjafi & Mohammad Arani, 2014. "Multimode Preemptive Resource Investment Problem Subject to Due Dates for Activities: Formulation and Solution Procedure," Advances in Operations Research, Hindawi, vol. 2014, pages 1-10, September.
    13. Yu-Jen Lin & Chia-Huei Ho, 2011. "Integrated inventory model with quantity discount and price-sensitive demand," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 177-188, July.
    14. Neumann, K. & Zimmermann, J., 2000. "Procedures for resource leveling and net present value problems in project scheduling with general temporal and resource constraints," European Journal of Operational Research, Elsevier, vol. 127(2), pages 425-443, December.
    15. Benton, W. C. & Park, Seungwook, 1996. "A classification of literature on determining the lot size under quantity discounts," European Journal of Operational Research, Elsevier, vol. 92(2), pages 219-238, July.
    16. Akbalik, Ayse & Rapine, Christophe, 2013. "The single item uncapacitated lot-sizing problem with time-dependent batch sizes: NP-hard and polynomial cases," European Journal of Operational Research, Elsevier, vol. 229(2), pages 353-363.
    17. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
    18. Mendoza, Abraham & Ventura, José A., 2008. "Incorporating quantity discounts to the EOQ model with transportation costs," International Journal of Production Economics, Elsevier, vol. 113(2), pages 754-765, June.
    19. 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.
    20. Manerba, Daniele & Mansini, Renata, 2012. "An exact algorithm for the Capacitated Total Quantity Discount Problem," European Journal of Operational Research, Elsevier, vol. 222(2), pages 287-300.
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    Cited by:

    1. Wen-Hsien Tsai, 2018. "A Green Quality Management Decision Model with Carbon Tax and Capacity Expansion under Activity-Based Costing (ABC)—A Case Study in the Tire Manufacturing Industry," Energies, MDPI, vol. 11(7), pages 1-30, July.
    2. Kirschstein, Thomas & Meisel, Frank, 2019. "A multi-period multi-commodity lot-sizing problem with supplier selection, storage selection and discounts for the process industry," European Journal of Operational Research, Elsevier, vol. 279(2), pages 393-406.
    3. Patoghi, Amirhosein & Mousavi, Seyed Meysam, 2021. "A new approach for material ordering and multi-mode resource constraint project scheduling problem in a multi-site context under interval-valued fuzzy uncertainty," Technological Forecasting and Social Change, Elsevier, vol. 173(C).

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