Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2007.283.287MohanB. Jothi RavichandranV.C. 2200762In this study resource allocation in ad hoc network is formulated, as a utility maximization problem the constraint considered is rate constraint. Rate constraint is defined such that the traffic flow from source node to the destination should be less than the net channel capacity between them but at the optimum value. In cross layer design optimization of rate constraint can be done using three layer constraints namely congestion constraint of transport layer, routing constraint of network layer, schedulable constraint of link layer. These three components form the core components of rate optimization. We formulate a congestion price to interact with congestion constraint, routing constraint and scheduling constraint in a fixed wireless channels. This principle can be extended to time varying channel and multi-rate devices. Here in this study we establish a relationship between congestion window and local congestion price. Resource allocation namely wireless links of fixed bandwidth is done to optimize these constraints. We are considering this problem as utility maximization with the constraints of rate, routing and scheduling. The resources considered are inter nodal paths of fixed channel bandwidths, for optimal utilization. Let us look at the resource allocation problem using congestion price as the flow variable. We prove the convergence of the algorithm. In this analysis we have considered time invariable and fixed rate devices. The stability of the system is established. Its performance is characterized with respect to an ideal reference system which has the optimum rate region at link layer. The congestion window is adjusted by values of local source rate constraint.]]>Asmussen, S.,2003Chen, L., S.H. Low and J.C. Doyle,2005Jain, K., J. Padhye, V.N. Padmanabhan and L. Qiu,2003Johnson, D.B. and D.A. Maltz,2005Kelly, F.P., A.K. Maulloo and D.K.H. Tan,1998Kodialam, M. and T. Nandagopal,2003Gupta, P. and P.R. Kumar,2000Kunniyur, S. and R. Srikant,2003Low, S.H. and D.E. Lapsley,1999Low, S.H.,2003Perkins, C.E. and E.M. Royer,1999Xiao, L., M. Johnasson and S. Boyd,2005