In order to verify the effectiveness and advantages of the MFOA, five functions are used to test the algorithm in this paper.
In simulations, the dimension of the five test functions is 30, and maximum number of iterations is 3000, variation factor h of MFOA is 2, and the inertia factor and the acceleration constants of PSO are [eta] = 0.75, [c.sub.1] = 2, and [c.sub.2] = 2.5, respectively.
From Table 1, the following can be seen: (1) running time: the running time of PSO algorithm is the shortest, and the running time of MFOA is the longest which is about 6 times that of PSO and about 3 times that of FOA; (2) the precision of the algorithm: MFOA has the highest accuracy which is far higher than the FOA and PSO algorithm; (3) variance: the variance values of MFOA for the five test functions are all 0, which states that MFOA has the best stability, FOA for single-peak function also shows instability, and PSO for multipeak function [f.sub.5] is unstable.
Overall, the NCMA and NComGA established the role of the MFOA as the standard-setter for governmental accounting and reporting in the U.S.
National Council of Governmental Accounting: Further efforts to refine the governmental reporting model can be traced to the work of the MFOKs National Council of Governmental Accounting (NCGA), which succeeded the MFOA's NComGA in June 1974, and became the standard-setter for state and local government's GAAP prior to 1984 [Freeman, 1976].
In an effort to provide more independence and due process to governmental standard-setting, plus resources, the Government Finance Officers Association (GFOA) (the successor to the MFOA) and its NCGA; the National Association of State Auditors, Comptrollers, and Treasurers (NASACT); and others ceded to the Governmental Accounting Standards Board (GASB), created by the Financial Accounting Foundation (FAF) in 1984, the standard-setting authority for state and local governments.
The official name of the professional governmental accounting organization that helps guide the profession becomes the Municipal Finance Officers Association (MFOA).
The federal government, through the Securities and Exchange Acts of 1933 and 1934, officially gives authority of governmental accounting guidance to the MFOA. That same year the MFOA creates the National Committee on Municipal Accounting (NCMA).
MFOA becomes the Government Finance Officers Association (GFOA).
and "National Committee" promulgated accounting.
During 1973, an MFOA task force circulated a proposal under which the National Committee would be reorganized as a permanent, quasi-independent body; its name would be changed in 1974 to the National Council on Governmental Accounting (NCGA) and it would conduct and sponsor research, hold public hearings, and issue formal statements and interpretations with respect to principles and standards of governmental budgeting, accounting, reporting and auditing.
A number of public interest groups, including the NCGA, AICPA, MFOA, U.S.