Plant state transition equation

The optimal control is calculated using equation (9.55) and the values of the state variables are found using the plant state transition equation (9.56)... 

Notice that the equation above is Litde s law, which states that the average number of units in a queue is the demand rate times the average lead time. Little s law links lead time to work in process inventory. In our case, the inventory in transit is work-in-process inventory between the component plant and the assembly plant where it is required. Once we get the average in-transit inventory, we merely have to multiply it with the holding cost per unit per unit time to get the holding cost associated with the in-transit inventory. 

The integrated steady state model is switched to the dynamic simulation environment provided by HYSYS.PLANT, where it shares the same physical properties and flowsheet topology as the steady state model. Unlike the steady state model, the dynamic model uses a different set of conservation equations that account for changes occurring over time. Within the dynamic mode, an advanced method of calculating the pressure and flow profile of the simulated model is used as the user states the required number of pressure-flow (P-F) specifications. These equations are solved simultaneously to find the unknown pressure or flowrates. As the last stage in the steady state model before its transition to the dynamic... 

The behavior of the plant process can be represented as states and transition among the different states. Also messages and collaboration among the different classes/objects can represent behavioral aspects of the plant. Equations controlling the transition from one state to another can be represented using object constraint language (OCL) as an associated code with the different classes and states. 

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