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Multi-mode project payment scheduling problems with bonus-penalty structure

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  • He, Zhengwen
  • Xu, Yu

Abstract

This paper involves the multi-mode project payment scheduling problem with bonus-penalty structure where activities can be performed with several modes and a bonus-penalty structure exists at the deadline of the project. In the problem the decisions on when to schedule events and payments, the magnitude of each payment, and the performing mode of each activity need to be optimized. A two-module simulated annealing heuristic is proposed to solve the mixed integer non-linear programming models for the contractor and the client, and a satisfactory solution, which consists of payment event set, event schedule, and payment amount set, may be found through iterations between the heuristic's two modules. The profits of the two parties of the contract are changed significantly by the bonus-penalty structure and the structure may be considered as a coordination mechanism essentially, which may enhance the flexibility of payment scheduling and be helpful for the two parties to get more profits from the project. Through solving and analyzing an instance the insight that the bonus-penalty structure may advance the project completion effectively and improve the profits of the two parties in the meantime can be obtained.

Suggested Citation

  • He, Zhengwen & Xu, Yu, 2008. "Multi-mode project payment scheduling problems with bonus-penalty structure," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1191-1207, September.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:3:p:1191-1207
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    References listed on IDEAS

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    Cited by:

    1. Nima Zoraghi & Aria Shahsavar & Babak Abbasi & Vincent Peteghem, 2017. "Multi-mode resource-constrained project scheduling problem with material ordering under bonus–penalty policies," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 49-79, April.
    2. Yukang He & Tao Jia & Weibo Zheng, 2024. "Simulated annealing for centralised resource-constrained multiproject scheduling to minimise the maximal cash flow gap under different payment patterns," Annals of Operations Research, Springer, vol. 338(1), pages 115-149, July.
    3. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    4. Zhengwen He & Nengmin Wang & Pengxiang Li, 2014. "Simulated annealing for financing cost distribution based project payment scheduling from a joint perspective," Annals of Operations Research, Springer, vol. 213(1), pages 203-220, February.
    5. Etgar, Ran & Gelbard, Roy & Cohen, Yuval, 2017. "Optimizing version release dates of research and development long-term processes," European Journal of Operational Research, Elsevier, vol. 259(2), pages 642-653.
    6. Dayal Madhukar & Verma, Sanjay, 2015. "Multi-processor Exact Procedures for Regular Measures of the Multi-mode RCPSP," IIMA Working Papers WP2015-03-25, Indian Institute of Management Ahmedabad, Research and Publication Department.
    7. Leyman, Pieter & Vanhoucke, Mario, 2017. "Capital- and resource-constrained project scheduling with net present value optimization," European Journal of Operational Research, Elsevier, vol. 256(3), pages 757-776.
    8. He, Zhengwen & Liu, Renjing & Jia, Tao, 2012. "Metaheuristics for multi-mode capital-constrained project payment scheduling," European Journal of Operational Research, Elsevier, vol. 223(3), pages 605-613.
    9. He, Zhengwen & Wang, Nengmin & Jia, Tao & Xu, Yu, 2009. "Simulated annealing and tabu search for multi-mode project payment scheduling," European Journal of Operational Research, Elsevier, vol. 198(3), pages 688-696, November.

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