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6
Constrained Optimization
6.1 Introduction
Invariably all optimization problems carry constraints, and examples can be
given from any area one can think of. The supply of a product is constrained
by the capacity of a machine. The trajectory of a rocket is constrained by the
nal target as well as the maximum aerodynamic load it can carry. The range
of an aircraft is constrained by its payload, fuel capacity, and its aerodynamic
characteristics. So how does a constrained optimization problem differ from
an unconstrained problem? In constrained optimization problems, the feasi-
ble region gets restricted because of the presence of constraints. ...