Resolution of Resource Conflict for a Single Project in Max-Plus Linear Representation

This research proposes a method for resolving resource conflicts for a single project. We focus on the framework of resolving resource conflicts in the Critical Chain Project Management (CCPM), which is expressed in the form of Max-Plus Linear (MPL) system. Although the previous studies proposed a method for inserting time buffers, the problem of resource conflict has not been considered for simplicity. On the other hand, the proposed method can detect resource conflicts by checking if time lines of processes overlap. If a resource conflict is detected, the process with low priority is moved up. For moving up the schedule, we define a new adjacency matrix, by which we can resolve the conflict.