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Other Mathematical Programming Types
AIMMS supports Quadratic Programming (QP), Mixed Integer Quadratic Programming (MIQP), Quadratic Constrained Programming (QCP), Mixed Integer Quadratic Constrained Programming (MIQCP), Mixed Complementarity Programming (MCP), Mathematical Program with Complementarity Constraints (MPCC). For a complete overview of all mathematical programming types and their corresponding solvers see this table.
For a full description of the mixed complementarity programming support in AIMMS see 
Chapter 18 in the Language Reference.
Examples
Traffic Equilibrium
This AIMMS demo describes an example of a mixed complementarity problem (MCP). The problem described here is a so-called traffic equilibrium model. The goal is to find a traffic distribution over the roads, that follows from the behaviour of the drivers. We assume that every driver wants to minimize his own travel time in a noncooperative way, his noncooperative behaviour means that he will change his route only when he can find a faster route for himself. There is always a faster route when somebody else with the same origin and destination has a faster route. This means that in the equilibrium situation, all the drivers with the same origin and destination will have the same travel time. This travel time is the minimum travel time for that origin and destination pair. This has been formulated in the complementarity variable "Traffic".
Download the Traffic Equilibrium Example
Free Trial License
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