A study of a general time/cost relation in network cost analysis

The theory of project planning and coutrol by networkplanning techniques has undergone serious scruting and cOllsi-derable expansion since the e a r Ly models of CPM (Critical PathMetho~) and PERT (Program Evaluation and Review Technique) ,which were advanced in 1959.Furthermore, the scope of Ln t.e r e s u , and the power ofanalysis of such theory have expanded we Ll beyond the origina-lly envisaged temporal considerations to incluJe many moretopics; such as the s t udy of optimal project” compression”,the optimal planning and acquisition of resources, and syn-thesis of projects under conditions of uncertainty in theirstructure.Chapter I introduces to the theory of project planningand control by network planning techniques. Also, a reviewof literature is given as well as the outlines of the worksubmitted in this thesis.In Chapter 11, an algorithm that facilitates the utiliza-tion of the unused resource to reduce the overall duration ofthe project, is suggested. In this algorithm the time-costtrade-off function is considered to be a linear function.In the suggested algorithm the reduction process proceeds byreallocating the unused excess resource to both the critical