For the (M|D|1):(GD| | ) queue, suppose the service rate can be increased at a cost and there is a waiting cost for customers.

a. Develop an expected cost model to be minimized and determine the optimum service rate for a set of parameters.

b. Repeat the process, but for the case of the arrival rate being increased at a cost.

c. Formulate the multiparameter optimization problem when both l and  can be increased

(decreased) at a given cost and determine the optimum values of l and .

SECTION 10.10