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The theory of connection has been used to solve many problems in engineering. economics, and in management; in this paper, firstly, the theory of connection is introduced. Secondly, a new toolbox of functions for modeling and simulation is presented. Thirdly, the theory is used to solve a planning and scheduling problem with the help of the toolbox of functions. The scope of this paper is limited to introducing and applying the theory of connection. The major contribution of the paper is the introduction of the toolbox with which mathematical modeling and simulations can be done efficiently on an operating platform like MATLAB.