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The construction of parallel tests from item response theory (IRT) based item banks is discussed. Tests are considered parallel whenever their information functions are identical. After the methods for constructing parallel tests are considered, the computational complexity of 0-1 linear programming and the heuristic procedure applied are discussed. Two methods for selecting parallel tests in succession (sequential test construction) are formulated. The first uses a non-partitioned item bank (Method 1), and the second uses a partitioned item bank (Method 2). Two methods are also reviewed for simultaneous test construction, one for non-partitioned item banks (Method 3) and one for partitioned item banks (Method 4). A heuristic procedure is used for solving these 0-1 linear programming problems. A simulation study compared these methods;ring two item banks, each consisting of 100 items. Satisfactory result