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This paper presents a model for the joint design of flow control and processor allocation for task scheduling in grid over optical burst switching (GOBS) networks. The GOBS resource allocation is formulated as a utility maximization problem with constraints that arise from the resource and user preferences. The optimization problem is decomposed into two parts: flow control for burst length adjustment and processor allocation for computational capacity adjustment. The parameters from the resource layer are abstracted and provided to a cross-layer optimizer to maximize user's utility function. The performance of the algorithm is evaluated through simulations.