This paper discusses a scheduling problem on object-oriented developments over multiple teams with limited resources in matrix organization. The objective of the problem is to minimize the makespan of overall projects. There are tangible and intangible advantages such as efficient resource share, improvement of productivity, development efforts and cost reduction, etc. by dispatching resources properly to the development teams. Traditionally, the project scheduling has been done with a manager's intuition or heuristic. We present a scheduling model with illustrative examples, stochastic search approach, and apply a variety of problems generated randomly to the approach. The results are analysed.