Authors:
Ali Shafahi
and
Ali Haghani
Affiliation:
University of Maryland, United States
Keyword(s):
Project Management, Project Selection, Learning Curve, Interdependencies, MIP, Nonlinear, Quadratic, Linearization.
Related
Ontology
Subjects/Areas/Topics:
Applications
;
Artificial Intelligence
;
Enterprise Information Systems
;
Information Systems Analysis and Specification
;
Knowledge Discovery and Information Retrieval
;
Knowledge-Based Systems
;
Linear Programming
;
Mathematical Modeling
;
Methodologies and Technologies
;
Operational Research
;
Optimization
;
Project Management
;
Resource Allocation
;
Symbolic Systems
Abstract:
In this paper a new formulation is proposed for project selection problem which considers project interdependencies. Project interdependencies are factored in using the learning curve concept. The problem is modeled as a Mixed Integer Program (MIP) with quadratic constraints. To solve the problem the quadratic constraints are linearized using a new method proposed in this paper and the benefits of this approach compared to the conventional methods are emphasized. The application of this methodology is illustrated using a numerical example. The result shows the superiority of this method in reducing the number of variables dramatically.