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Automated test assembly (ATA) is a modern approach to test assembly which applies advanced optimization algorithms on computers to build test forms automatically. ATA greatly improves the efficiency and accuracy of test assembly. This study focused on the mixed integer programming (MIP) approach to ATA and investigated the effects of modeling methods and solvers on the assembly of linear forms and multistage tests. Results indicated that the newly proposed maximin modeling method managed to significantly improve test information function parallelism among assembled test forms, and the newly proposed binary minimax method considerably reduce the overall discrepancies from the given targets. A comparison of four freely available MIP solvers showed support to newer solvers like SCIP and Xpress community edition.