An Integrated Mixed-Integer Programming Model to Address Concurrent Project Scheduling and Material Ordering

Authors: Babak H. Tabrizi, Seyed Farid Ghaderi

Abstract:

Concurrent planning of project scheduling and material ordering can provide more flexibility to the project scheduling problem, as the project execution costs can be enhanced. Hence, the issue has been taken into account in this paper. To do so, a mixed-integer mathematical model is developed which considers the aforementioned flexibility, in addition to the materials quantity discount and space availability restrictions. Moreover, the activities duration has been treated as decision variables. Finally, the efficiency of the proposed model is tested by different instances. Additionally, the influence of the aforementioned parameters is investigated on the model performance.

Keywords: Material ordering, project scheduling, quantity discount, space availability.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1110187

References:

[1] D. Debels, B. D. Reyck, R. Leus, and M. Vanhoucke, "A hybrid scatter search/electromagnetism meta-heuristic for project scheduling," Eur. J. Oper. Res., vol. 169, pp. 638–653, 2006.
[2] H. Said, and K. El-Rayes, "Optimizing material procurement and storage on construction sites," J. Const. Eng. Manage., vol. 137, no. 6, pp. 421- 431, 2011.
[3] B. R. Sarker, P. J. Egbelu, T. W. Liao, and J. Yu, "Planning and design models for construction industry: A critical survey," Autom. in Const., vol. 22, pp. 123–134, 2012.
[4] F. Fu, "Integrated scheduling and batch ordering for construction project," Appl. Math. Model., vol. 38, no. 2, pp. 784-797, 2014.
[5] N. J. Aquilano, and D. E. Smith, "A formal set of algorithms for project scheduling with critical path method-material requirements planning," J. Oper. Manage., vol. 1, no. 2, pp. 57-67, 1980.
[6] D. E. Smith-Daniels, and N. J. Aquilano, "Constrained resource project scheduling subject to material constraints," J. Oper. Manage., vol. 4, no. 4, pp. 369-388, 1984.
[7] D. E. Smith-Daniels, and V. L. Smith-Daniels, "Optimal project scheduling with materials ordering," IIE Trans., vol. 19, no. 4, pp. 122- 129, 1987.
[8] B. Dodin, and A. A. Elimam, "Integrated project scheduling and material planning with variable activity duration and rewards," IIE Trans., vol. 33, pp. 1005-1018, 2001.
[9] M Sheikh Sajadieh, Sh Shadrokh, and F Hassanzadeh, "Concurrent Project Scheduling and Material Planning: A Genetic Algorithm Approach," Scientia Iranica- Transaction E: Industrial Engineering, vol. 16, no. 2, pp. 91-99, 2009.