Load sharing in models with communication delays

Computer systems may be connected in a network to share workload. A control problem then is to decide which computer should carry out which task. Novel in this report is a model for load sharing with communication delays. It takes nonnegligible time for information from one computer to reach the other systems. Then the task routing problem becomes a decentralized control or team problem. An introduction about team theory will be presented. The load sharing problem is tackled in two ways. First control laws are synthesized on the basis of engineering intuition. After that some conjectures are formulated about structural properties of the optimal control law. In October 1993 this report has been submitted in partial fulfillment of the requirements for the Doctorandus degree to the department of Computing Science and the department of Econometrics of the University of Groningen