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

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.

Authors:

• Babak H. Tabrizi
• Seyed Farid Ghaderi

Keywords:

• Material ordering
• project scheduling
• quantity discount
• space availability.

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.