Browsing by Subject "milestones"

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Access status: Open Access ,
A two-phase algorithm for a Resource Constrained Project Scheduling Problem with Discounted Cash Flows
(2013) Klimek, Marcin; Łebkowski, Piotr
This paper presents a Resource-Constrained Project Scheduling Problem (RCPSP) settled by contractual milestones. The criterion analysed here is the maximisation of aggregate discounted cash flows from the contractor's perspective, known as an RCPSP problem with Discounted Cash Flows (RCPSPDCF). The cash flows analysed here cover the contractor´s cash outflows (negative cash flows), related to the commencement of individual activities, and cash inflows (positive cash flows) after the fulfilment of individual milestones. The authors propose a two-phase algorithm for solving the problem defined. In the first phase, the simulated annealing metaheuristics is used, designed to identify a forward schedule with as high total DCF as possible. In the second phase, the best first-phase schedule is improved by right shifts of activities. To this end, the procedure which iteratively shifts tasks by one unit is applied, with a view to maximising the objective function. Activity shifts take into consideration precedence and resource constraints, and they are performed for a specified resource allocation to activities. This paper also includes an analysis of the problem for a sample project. The results of computational experiments are then analysed. The experiments were run with the use of standard test problems from the Project Scheduling Problem LIBrary (PSPLIB), with additionally defined cash flows and contractual milestones.
Access status: Open Access ,
Robust buffer allocation for scheduling of a project with predefined milestones
(Wydawnictwa AGH, 2009) Klimek, Marcin; Łebkowski, Piotr
The paper discusses the problem of robust buffer allocation for Resource-Constrained Project Scheduling Problem (RCPSP) with predefined milestones1 , for which execution deadlines have been established. To solve the problem, an algorithm is proposed supporting insertion of unit time buffers, with the simultaneous maximisation of new metrics of arrangement robustness. The presented results of experimental research speak for usability of the solutions proposed. The effectiveness is studied with use of test tasks2 included in the Project Scheduling Problem Library (PSPLIB) with additionally specified project milestones.