Mathematical Models of Project Management for the Supplier


By Prof Vladimir I. Voropaev, PhD


Yan D. Gelrud, PhD



In this article the complex of the interconnected mathematical models intended for project activities management at all stages with participation of interested party – General Supplier, is considered. The use of such models aims at increasing efficiency of the activity, ensures that relevant competences and the desired objectives achievement under various conditions of modalities for the project implementation are put into effect.

KEY WORDS: stakeholder, mathematical models of project management, competence of project management.


In [1], the attempt is made to structure the features of the main interested parties (stakeholders) and construct mathematical models of project management taking them into account. The examples of such models are provided for the investor, customer, project team, main contractor, suppliers and regulators.

Ibid we noted that the choice of methods and project controls is largely determined by the management of which project stakeholder is considered in this case, and under which conditions. Various interested parties in the project differ by their expectations, roles, degree of responsibility and actions. This is due to their various purposes in the project, criteria of success and an assessment of the degree of goal achievement, different values and strategy for the achievement of the objectives. These distinctions can influence significantly project goals and objectives setting, methods used, tools and techniques of problem solving management, focused on their specific requirements. But also in modeling activity of a certain interested party there can be various options of goal settings, connected with various conditions of project implementation. Besides, problem implementation methods of optimized decision making also possess essential diversity.

This article suggests mathematical models intended for management of project execution at all stages with participation of one interested party – General Supplier. For each suggested variant specific conditions to which this model is adequate are considered. At the same time solving techniques which also can be multi-versioning are suggested and analyzed. The use of such models aims at increasing efficiency of General Supplier’s activity, ensures that relevant competences and the desired objectives achievement under various conditions of modalities for the project implementation are put into effect.


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About the Authors


Author, Professor, International PM Expert

Founder, Former President, Chair – SOVNET

Former Vice President – IPMA

Full Member, Russian Academy of Natural Sciences

Moscow, Russia

Professor Vladimir Voropajev, PhD. is Founder and former President and Chairman of the Board of the Russian Association of Project Management, SOVNET. Dr. Voropajev is professor of Project Management at the State University of Management, Moscow, Russia.  He is also Head of the Program and Project Management Faculty for the Russian State Academy’s Program for Professional Retraining and Professional Skill Development for Executives and Specialists in Investment Fields.  He is a full member of the Russian Academy of Natural Sciences on Information Science and Cybernetics, and of the International Academy of Investments and Economy in Construction. From 1991 to 2001, he was Vice-president and a member of the Executive Board of the International Project Management Association (IPMA), the global federation of national PM associations based in Zurich, Switzerland. He is the First Assessor for several IPMA certification bodies. In 2005 he was awarded IPMA Honorary Fellowship Award. He is also an honorary Fellow of the Indian Project Management Association and a past member of the Global Project Management Forum Steering Committee.  During his 40 years of engineering, scientific, teaching and consulting activities, he has published over 250 scientific research works including 7 monographs and 5 textbooks about the organization and planning of construction, information systems, and project management.  Vladimir serves on the editorial boards of several international project management journals, is a frequent participant in PM conferences worldwide, and provides ongoing counsel and support to PM professional leaders in Azerbaijan, Kazakhstan, Ukraine, Yugoslavia and several other countries.  Professor Voropajev can be reached at [email protected]

yan-gelrudflag-russiaYan D. Gelrud

South Ural State University

Chelyabinsk, Russia

Mr. Yan Gelrud was born in 1947 in  Birobidjan (Khabarovsk Territory). In 1965 he finished a school of mathematics and physics at Novosibirsk. In 1970 he graduated from the mathematical faculty of university at Novosibirsk on “Mathematics” speciality. From 1970 to 1991 Yakov was working in the Research Institute of automated control systems as a head of mathematical division. He took part in creation and adoption of more than 100 automated control systems in different branches of industry.

From 1991 to 1997 Mr. Gelrud was doing business, being director general of “URAL-ASCО-SERVICE”.  Since the 1st of September 1997 till now he works as a professor of the “Enterprise and management” department in South Ural State University. He teaches a multitude of disciplines, such as “Mathematics”, “Theory of probability and mathematical statistics”, “Econometrics”, “Economic and mathematical methods”, “Mathematical methods of decision-making”, “Bases of decision-making methodology”, “Economical evaluation of investments”, “Mathematical methods and models of project management”, “Studies of managerial systems.”

Yan Gelrud has more than 100 publications and speeches on seminars and conferences of different level. His monograph “Project management in conditions of risk and uncertainty” was published recently.  He can be contacted at [email protected]