In this study, the authors consider a project scheduling problem with a single non-renewable resource. The authors assume that the resource is released at scheduled times and specified quantities and the resource is consumed at activity completion. The activities can be processed at different modes where a mode is defined by a processing time and a resource requirement amount. The problem is to select the modes and timings of the activities so as to minimize the project completion time. The authors give a mixed integer linear programming model and discuss some variable elimination mechanisms to enhance its efficiency.
In this paper, a project scheduling problem with multi-modes and a single non-renewable resource is considered. The resource is released in pre-specified times at pre-specified quantities. An activity can be executed at different modes where a mode is defined by a processing time and a resource requirement amount. The objective is to minimize the project completion time. A branch and bound algorithm that enumerates the partial solutions based on the mode assignment decisions is presented. The results of the experiments have revealed that the branch and bound algorithm can solve problem instances with up to 100 activities in reasonable times.
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