BrokenTransition

The inflow to B is proportional to the outflow from A

Diagram

Information

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This is the classical structure for a broken flow from stock A to stock B, where the rate of outflow is given for stock A. A's outflow will flow into a →Cloud and accordingly, there will be an inflow to stock B which is given by:

rate of inflow to B = rate of outflow from A × factor of proportionality

Here the factor of proportionality will be given in units base units of B per base units of A, so that the resulting inflow to B will have proper units [base units for a flow of B].

Implementation

Diagram for BrokenTransition

Notes

Jim Hines [6, p. 16] notes, that "in an aggregated model of a supply chain there will be a change of units and a conceptual break in the transition from raw materials inventory to work in progress."

The choice of OutputType_A will set the type for parameter rate.

Great care has to be taken entering the factor as it needs to be given in base units of stock B per base units of stock A. If the unit attribute is left an empty string (default), then fitting units will automatically be deduced effectively short-circuiting unit checks.

To more robustly specify conversion factors, upon useExplicitRatio = true a constant ratio outputB per inputA can alternatively be given, where outputB and inputA will have units according to OutputType_B and OutputType_A, respectively.

Parameters (7)

rate	Value: unspecified Type: OutputType_A Description: Constant rate of outflow for the stock A
factor	Value: 1 Type: Real Description: Constant factor of proportionality to be multiplied with the outflow from A [base units B/base units A]
outputB	Value: 1 Type: OutputType_B Description: Constant output of B to specify the conversion factor as the ratio outputB : inputA
inputA	Value: 1 Type: OutputType_A Description: Constant input of A to specify the conversion factor as the ratio outputB : inputA
hasConstantFactor	Value: false Type: Boolean Description: = true, if the factor is to be given by the constant parameter
hasConstantRate	Value: false Type: Boolean Description: = true, if the outflow rate for A is to be given by the constant parameter
useExplicitRatio	Value: false Type: Boolean Description: = true, if instead of a constant factor a constant ratio of output per input is to be entered

Connectors (8)

	portA	Type: FlowPort Description: Flow from/to Stock A
	portB	Type: FlowPort Description: Flow to/from Stock B
	y_B	Type: RealOutput_B Description: Rate for flow to and from B (positive value indicates inflow)
	y1_B	Type: RealOutput_B Description: Rate for flow to and from B (positive value indicates inflow)
	y1_A	Type: RealOutput_A Description: Rate for flow to and from A (positive value indicates inflow)
	y_A	Type: RealOutput_A Description: Rate for flow to and from A (positive value indicates inflow)
	u_rate	Type: RealInput Description: Rate of outflow from A
	u_factor	Type: RealInput Description: Factor of proportionality (units B / units A)

Components (8)

	conversionFactor	Type: Gain Description: Input is multiplied by constant parameter
	flowingOut	Type: Decline Description: Outflow for stock A
	u_OutflowRate_A	Type: PassThrough Description: Input of outflow rate
	parOutflowRate_A	Type: ConstantConverter Description: Constant rate of outflow for A
	inflowRate_B	Type: Product_2 Description: Rate of inflow to stock B
	flowingIn	Type: Growth Description: Inflow to stock B
	u_FactorOfProportionality	Type: PassThrough Description: Continuous input
	parFactorOfProportionality	Type: ConstantConverter Description: Constant input

Revisions

Value for the optional parameter rate changed to unspecified in v2.1.0.

Component type for parOutflowRate changed to ConstantConverter and type for factor changed to Real in v2.2.

Added useExplicitRatio option for more convenience in unit conversions in v2.2.