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Variable	Usage	Quadratic Model	Nonlinear Model
Binary. \(v_i \in\{-1,+1\} \text{ or } \{0,1\}\).	Typically used for applications that optimize over decisions that could either be true (or yes) or false (no); for example, Should the antenna transmit or no? Did a network node experience failure?	BINARY and SPIN	BinaryVariable
Discrete. For example, a variable that can be assigned one of the values of the set {red, green, blue, yellow}.	Typically used for applications that optimize over several distinct options; for example, Which shift should employee X work? Should the state be colored red, blue, green or yellow?	INTEGER
Integer.	Typically used for applications that optimize the number of something; for example, How many widgets should be loaded onto the truck?	INTEGER	IntegerVariable
Real.	Typically used for applications that optimize over an uncountable set; for example, Where should the sensor be built?	REAL	linprog()