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INDIAN JOURNAL OF INDUSTRlAL AND APPLIED MATHEMATICS
Copyright © 2012 Indian Society ofIndustrial and Applied Mathematics
Vol. 3 No.1 January-June 2012, pp. 62-73
Print ISSN: 0973-4317
Portfolio Selection of Interdependent R&D
Projects
Rupak Bhattacharyya
1
*, Pankaj Kumar
2
, Samarjit Kar
3
and Seema Sarkar
(Mondal)4
National Institute of Technology, Durgapur-713209, West Bengal, India
E-mails:mathsrup@gmail.com
1
.maths.pk@gmail.com
2
.kar_s_k@yahoo.com\
seemasarkarmondal@yahoo.co.in
4
Abstract: Worldwide competition of markets has forced organizations to invest in targeted R&D projects so
that resources can be focussed on successful outcomes. A number of alternatives are encountered to select
the most appropriate projects in R&D project selection model. In order to maintain technicaVrisklresourcel
benefit competitiveness, the decision-maker assigns limited amount of assets to a set of competing projects.
Interdependencies between applicant projects have great impact on the project outcome. But very little effects
are noticed to involve them while modelling the problem. In this paper, we have considered outcome, technical,
resource and risk interdependencies to develop a bi-objective non-linear R&D project portfolio selection model
under the constraints on resources, budget, interdependencies and outcome, and discuss how our methodology
can be used to make decision support tools for optimal R&D project selection in a corporate environment. The
objectives are minimization of risk and maximization of benefit. Suitable numerical results are provided to
illustrate our method. The solution is done by using fuzzy additive goal programming technique.
Keywords: R&D project portfolio; Project interdependencies; Multi-objective optimization; Fuzzy additive
goal programming.
2000 Mathematics Subject Classification: 97M40
1. Introduction
In today's environment, with increasing competition and limitations of financial resources, the way
of selection of R&D projects that maximize some measure of utility or benefit to the organization
* Author for Correspondence. E-mail: mathsrup@gmail.com