A Bi-Objective Model to Address Simultaneous Formulation of Project Scheduling and Material Ordering
Concurrent planning of project scheduling and
material ordering has been increasingly addressed within last decades
as an approach to improve the project execution costs. Therefore, we
have taken the problem into consideration in this paper, aiming to
maximize schedules quality robustness, in addition to minimize the
relevant costs. In this regard, a bi-objective mathematical model is
developed to formulate the problem. Moreover, it is possible to
utilize the all-unit discount for materials purchasing. The problem is
then solved by the E-constraint method, and the Pareto front is
obtained for a variety of robustness values. The applicability and
efficiency of the proposed model is tested by different numerical
instances, finally.
[1] 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.
[2] 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.
[3] 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.
[4] 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.
[5] T. Schmitt, and B. Faaland, "Scheduling recurrent construction," Naval
Res. Logist., vol. 51, no. 8, pp. 1102-1128, 2004.
[6] M. Sheikh Sajadieh, Sh. Shadrokh, and F. Hassanzadeh, "Concurrent
Project Scheduling and Material Planning: A Genetic Algorithm
Approach," Scientia Iranica- Transaction E: Ind. Eng., vol. 16, no. 2, pp.
91-99, 2009.
[7] O¨. Hazır, E. Erel, and Y. G¨ unalay, "Robust optimization models for
the discrete time/cost trade-off problem," Int. J. Prod. Econ., vol. 130,
pp. 87–95, 2011.
[8] S. H. Amin, and G. Zhang, "An integrated model for closed-loop supply
chain configuration and supplier selection: Multi-objective approach,"
Expert Sys. Appl., vol. 39, pp. 6782-6791, 2012.
[1] 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.
[2] 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.
[3] 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.
[4] 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.
[5] T. Schmitt, and B. Faaland, "Scheduling recurrent construction," Naval
Res. Logist., vol. 51, no. 8, pp. 1102-1128, 2004.
[6] M. Sheikh Sajadieh, Sh. Shadrokh, and F. Hassanzadeh, "Concurrent
Project Scheduling and Material Planning: A Genetic Algorithm
Approach," Scientia Iranica- Transaction E: Ind. Eng., vol. 16, no. 2, pp.
91-99, 2009.
[7] O¨. Hazır, E. Erel, and Y. G¨ unalay, "Robust optimization models for
the discrete time/cost trade-off problem," Int. J. Prod. Econ., vol. 130,
pp. 87–95, 2011.
[8] S. H. Amin, and G. Zhang, "An integrated model for closed-loop supply
chain configuration and supplier selection: Multi-objective approach,"
Expert Sys. Appl., vol. 39, pp. 6782-6791, 2012.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:71548", author = "Babak H. Tabrizi and Seyed Farid Ghaderi", title = "A Bi-Objective Model to Address Simultaneous Formulation of Project Scheduling and Material Ordering", abstract = "Concurrent planning of project scheduling and
material ordering has been increasingly addressed within last decades
as an approach to improve the project execution costs. Therefore, we
have taken the problem into consideration in this paper, aiming to
maximize schedules quality robustness, in addition to minimize the
relevant costs. In this regard, a bi-objective mathematical model is
developed to formulate the problem. Moreover, it is possible to
utilize the all-unit discount for materials purchasing. The problem is
then solved by the E-constraint method, and the Pareto front is
obtained for a variety of robustness values. The applicability and
efficiency of the proposed model is tested by different numerical
instances, finally.", keywords = "E-constraint method, material ordering, project
management, project scheduling.", volume = "9", number = "11", pages = "1969-4", }