Abstract
The review of existing human resource allocation models for a CPA firm shows that there are major shortcomings in the previous mathematical models. First, linear programming models cannot handle multiple objective human resource allocation problems for a CPA firm. Second, goal programming or multiple objective linear programming (MOLP) cannot deal with the organizational differentiation problems. To reduce the complexity in computing the trade-offs among multiple objectives, this paper adopts a fuzzy set approach to solve human resource allocation problems. A solution procedure is proposed to systematically identify a satisfying selection of possible staffing solutions that can reach the best compromise value for the multiple objectives and multiple constraint levels. The fuzzy solution can help the CPA firm make a realistic decision regarding its human resource allocation problems as well as the firm's overall strategic resource management when environmental factors are uncertain.
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References
Accounting Today 15(3), 8, (2001).
Bailey, A. D., W. J. Boe and T. Schnack, “The Audit Staff Assignment Problem: A Comment. ” The Accounting Review LIX(3), 572–574, (1974).
Balachandran, K. R. and R. E. Steuer, “An Interactive Model for the CPA Firm Audit Staff Planning Problem with Multiple Objectives. ” The Accounting Review LVII(1), 125–140, (1982).
Bedard, J. C., S. F. Biggs and J. D. Dipietro, “The Effects of Hypothesis Quality, Client Management Explanations, and Industry Experience on Audit Planning Decisions. ” Advances in Accounting 16, 49–73, (1998).
Boatsman, J. R., C. Moeckel and B. K. W. Pei, “The Effects of Decision Consequences on Auditors' Reliance on Decision Aids in Audit Planning. ” Organizational Behavior and Human Decision Processes 71(2), 211–247, (1997).
Business Review Weekly 19(27), July (1997); Model of a Competitive Audit Bureau 88.
Chandra, A. and S. P. Agrawal, “A Fuzzy Decision Support for Cost Management Systems Design. ” Application of Fuzzy Sets and the Theory of Evidence to Accounting II, Stamford, Connecticut: JAI Press Inc., 99–115, (1998).
Chen, J. T., “A Simplified Integer Programming Approach to Resource Allocation and Profit Budgeting. ” Accounting and Business Research 13(52), 273–278, (1983).
Gardner, J. C., R. J. Huefner and V. Lotfi, “A Multiperiod Audit Staff Planning Model using Multiple Objectives: Development and Evaluation. ” Decision Sciences 21(1), 154–170, (1990).
Glover, S. M., J. Jiambalvo and J. Kennedy, “Analytical Procedures and Audit-Planning Decisions. ” Auditing: A Journal of Practice and Theory 19(2), 27–45, (2000).
Houston, R.W., M. F. Peters and J. H. Pratt, “The Audit Risk Model, Business Risk and Audit-Planning Decisions. ” The Accounting Review 74(3), 282–298, (1999).
Hubbard, L. D., “Audit Planning. ” Internal Auditor, August, 20–21, (2000).
Killough, L. N. and T. L. Souders, “A Goal Programming Model for Public Accounting Firms. ” The Accounting Review XLVIII(2), 268–279, (1973).
Liu, Y. H. and Y. Shi, “A Fuzzy Programming Approach for Solving a Multiple Criteria and Multiple Constraint Level Linear Programming Problem. ” Fuzzy Sets and Systems 65, 117–124, (1994).
Newman, D. P., E. Patterson and R. Smith, “The Influence of Potentially Fraudulent Reports on Audit Risk Assessment and Planning. ” The Accounting Review 76(1), 59–80, (2001).
Omer, K. and Andre de Korvin, “Utilizing Fuzzy Logic in Decision-Making: New Frontiers. ” Application of Fuzzy Sets and Theory of Evidence to Accounting II, Stamford, Connecticut: JAI Press Inc., 3–14, (1998).
Ruefli, T. and J. Sarrazin. “Strategic Control of Corporate Development under Ambiguous Circumstances. ” Management Sciences 27(10), 1158–1170, (1981).
Schrage, L., User's Manual: Linear, Integer, and Quadratic Programming with Lindo, San Franscio, California: The Scientific Press, 1991.
Shi, Y. and Y. H. Liu, “Fuzzy Potential Solutions in Multicriteria and Multiconstraints Levels Linear Programming Problems. ” Fuzzy Sets and Systems 60, 163–179, (1993).
Siegel, P. H., J. Strawser and Andre de Korvin, “Knowledge Acquisition and the Development of Decision Rules: Studying and Evaluating Internal Control Structure. ” Application of Fuzzy Sets and the Theory of Evidence to Accounting II, Stamford, Connecticut: JAI Press Inc., 71–86, (1998).
Summers, E. L., “The Audit Staff Assignment Problem:ALinear Programming Analysis. ” The Accounting Review, 443–453, (1972).
The Wall Street Journal CCXL(60), (2002).
Welling, P., “A Goal Programming Model for Human Resource Accounting in a CPA Firm. ” Accounting, Organizations and Society 2(4), 307–316, (1977).
Wright A. M. and J. C. Bedard, “Decision Processes in Audit Evidential Planning: A Multistage Investigation. ” Auditing: A Journal of Practice & Theory 19(1), 123–143, (2000).
Zebda, A., “Fuzzy Set Theory and Accounting. ” Journal of Accounting Literature 8, 76–105, (1989).
Zebda, A., “Fuzzy Set Theory and Behavioral Models for Decision Making under Ambiguity. ” Application of Fuzzy Sets and the Theory of Evidence to Accounting II, Stamford, Connecticut: JAI Press Inc., 15–27, (1998).
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Kwak, W., Shi, Y. & Jung, K. Human Resource Allocation in a CPA Firm: A Fuzzy Set Approach. Review of Quantitative Finance and Accounting 20, 277–290 (2003). https://doi.org/10.1023/A:1023676529552
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DOI: https://doi.org/10.1023/A:1023676529552