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Seboni, L and Tutesigensi, A (2015) A mathematical model for allocating project managers to projects. In: Raiden, A and Aboagye-Nimo, E (Eds.), Proceedings 31st Annual ARCOM Conference, 7-9 September 2015, Lincoln, UK. Association of Researchers in Construction Management, 03–12.
- Type: Conference Proceedings
- Keywords: integer programming, mathematical modelling, multi-project environment, project manager
- ISBN/ISSN: 978-0-9552390-9-0
- URL: http://www.arcom.ac.uk/-docs/proceedings/5a36d7f0ffe42c0fa403afbc1050f843.pdf
- Abstract:
In multi-project environments, the decision of which project manager to allocate to which project directly affects organizational performance and therefore, it needs to be taken in a fair, robust and consistent manner. We argue that such a manner can be facilitated by a mathematical model that brings together all the relevant factors in an effective way. Content and thematic analyses of extant literature on optimization modelling were conducted to identify the major issues related to formulating a relevant mathematical model. A total of 200 articles covering the period 1959 to 2015 were reviewed. A deterministic integer programming model was formulated and implemented in OpenSolver. The utility of the model was demonstrated with an illustrative example to optimize the allocation of six project managers to six projects. The results indicate that the model is capable of making optimal allocations in less than one second, with a solution precision of 99%. These results compare well with some intuitive verification checks on certain expectations. For example, the most competent project manager was allocated to the highest priority project while the least competent project manager was allocated to the lowest priority project. Through this study, we have proposed a comprehensive and balanced approach by incorporating both hard and soft issues in our mathematical modelling, to address gaps in existing project manager-to-project (PM2P) allocation models as well as extending applications of mathematical modelling of the PM2P allocation problem to a 'new' country and industry, with a view to complement managerial intuition. In an attempt to address gaps in existing mathematical models associated with challenges related to acceptance by industry practitioners, future work includes developing a graphical user interface to separate the model base and optimization software details from users, as part of a complete product to be validated as an industry application.