Download Advanced Models for Project Management by Prof. L. Valadares Tavares (auth.) PDF

By Prof. L. Valadares Tavares (auth.)

More than 40 years have handed because the early makes an attempt to version initiatives. a wide area of theoretical advancements has grown generating a excessive variety of analytical and numerical effects, however it turns out that the most version remains to be an analogous: the idea that of undertaking community. this idea has come to symbolize the 2 significant positive aspects underlying the proposal of a undertaking: the sequential and the aggressive nature of its parts, the project's actions. truly, the sequential estate defines the constitution of the venture and the aggressive nature stems from using universal assets (facilities, items, apparatus, administration, etc.) to hold out different actions. in spite of the fact that, major advances were accomplished in undertaking modelling, permitting the creation of even more robust effects: A. the concept that of priority and the outline of actions has been generalized to supply quite a lot of practical illustration of tasks. B. the stochastic learn of the positive factors of initiatives akin to the length and price in their actions is conducted by way of numerous analytical and numerical versions, permitting experimental and forecasting analyses. C. the allocation of assets should be now studied for extra advanced events and regulations. D. the monetary description of tasks is extra properly studied and its optimization is punctiliously pursued. E. the evaluate and the evaluate of initiatives now should be studied in the framework of multicriteria determination concept contemplating a number of views and aiding the undertaking supervisor to choose the main acceptable compromises among chance, time and anticipated gains.

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4) is defined by having just two nodes, Sand E, with I(S) = O(E) = 0 and O(S) = I(E» 1. __ Series-network ~> O--~> 0 --~> ... 4 EXAMPLES OF SERIES-NETWORK AND OF PARALLEL-NETWORK The concept of precedence adopted so far implies that the start of i is conditioned by the end j. (Type CD). However, this concept can be generalized to cover three other situations: Type® End of j Type® Start of j --+ Start of i Type@ Start of j --+ End of i --+ End of i Basic models for project management 27 These new types are now easily represented adopting AoN and decomposing each activity into its start, its development and its end (Fig.

Which means that the pairwise direct precedence relation is not symmetric. This type of network is called a directed acyclic grallh. In this type of graph. the concept of path can be quite useful to study several properties or functions and it can be easily defined by any sequence, L. • M-l which means that there is a direct precedence link from activity Am to activity Am+ I. The acyclicity property means that no path can be constmcted with AI = AM and it can be checked by several procedures. One of them was suggested by Elmaghraby, 1977 and it is based on the so-called Adjacency Matrix {Aij }.

N. It should be noted that the parallel case is also the easiest one because any implementation problem concerning one activity does not affect the scheduling of the other activities and the serial case is the other extreme case. Tills means that an indicator to measure this type of difficulty (project hardness) can be proposed: H=~~N(i) Ni=l where N(i) is the total number of activities preceding i. Then. H represents the average number of precedent activities for each activity of the project network.

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