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Inventory and investment in setup and quality operations under return on investment maximization. (English) Zbl 1137.90315

Summary: We construct and analyze a Return On Investment (ROI) maximization model for inventory and capital investment in setup and quality operations under an investment budget constraint. Specifically, we show how such an ROI maximization model can be formulated and derive analytical results such as the conditions under which the inventory is reduced and for the determination of the unique global optimal solution. In addition, by applying the Reformulation-Linearization Technique (RLT), we show via numerical examples how this nonconvex optimization model can be solved effectively and how RLT may produce superior results to those from the conventional Cut Across the Board Rule (CABR). Various managerial insights are provided throughout the paper. For example, as the investment budget increases (or decreases), a fundamental shift of investment strategies (setup cost reduction vs. quality improvement) may be necessary so as to maximize ROI.

MSC:

90B05 Inventory, storage, reservoirs
91B28 Finance etc. (MSC2000)
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[1] Al-Khayyal, F.; Larsen, C.; Van Voorhis, T., A relaxation method for nonconvex quadratically constrained quadratic programs, Journal of Global Optimization, 6, 215-230 (1995) · Zbl 0835.90060
[2] Boucher, T.; Gogus, O.; Wicks, E., A comparison between two multiattribute decision methodologies in capital investment decision analysis, Engineering Economist, 42, 3, 179-202 (1997)
[3] Cheng, T., EPQ with process capability and quality assurance considerations, Journal of Operations Research Society, 42, 8, 713-720 (1991) · Zbl 0729.90757
[4] Eilon, S., Economic batch-size determination for multiproduct scheduling, Operational Research Quarterly, 10, 4, 217-227 (1961)
[5] Hong, J.; Hayya, J., Joint investment in quality improvement and setup reduction, Computers and Operations Research, 22, 6, 567-574 (1995) · Zbl 0830.90066
[6] Hong, J.; Xu, S.; Hayya, J., Process quality improvement and setup reduction in dynamic lot-sizing, International Journal of Production Research, 31, 11, 2693-2708 (1993)
[7] Lee, H.; Rosenblatt, M., Optimal inspection and ordering policies for products with imperfect quality, IIE Transactions, 17, 3, 284-289 (1985)
[8] Leschke, J.; Weiss, E., The multi-item setup-reduction investment-allocation problem with continuous investment-cost functions, Management Science, 43, 890-894 (1997) · Zbl 0893.90052
[9] Morse, W.; Scheiner, J., Cost minimization, return on investment, residual income: Alternative criteria for inventory models, Accounting and Business Research, 9, 3, 320-324 (1979)
[10] Oakleaf, R., Retail trade ROI, Management Accounting, 25-26 (1972)
[11] Otake, T.; Min, K. J., Inventory and investment in quality improvement under return on investment maximization, Computers and Operations Research, 28, 997-1012 (2001) · Zbl 1017.90003
[12] Otake, T., Min, K.J., Chen, C., May 1998. Inventory and Investment in Setup Operations under Profit and ROI Maximization. Proceedings of the Seventh Industrial Engineering Research Conference, CD-ROM Track 11/SA 01, pp. 1-8, Banff, Canada.; Otake, T., Min, K.J., Chen, C., May 1998. Inventory and Investment in Setup Operations under Profit and ROI Maximization. Proceedings of the Seventh Industrial Engineering Research Conference, CD-ROM Track 11/SA 01, pp. 1-8, Banff, Canada.
[13] Otake, T.; Min, K. J.; Chen, C., Inventory and investment in setup operations under return on investment maximization, Computers and Operations Research, 26, 883-899 (1999) · Zbl 0957.90006
[14] Porteus, E., Investing in reduced setups in the EOQ model, Management Science, 31, 8, 998-1010 (1985) · Zbl 0609.90058
[15] Porteus, E., Optimal lot sizing, process quality improvement and setup cost, Operations Research, 34, 1, 137-144 (1986) · Zbl 0591.90043
[16] Rosenberg, D., Optimal price-inventory decisions: profit vs. ROII, IIE Transactions, 23, 1, 17-22 (1991)
[17] Rosenblatt, M.; Rothblum, U., The optimality of the ‘cut across the board’ rule applied to an inventory model, IIE Transaction, 26, 2, 102-108 (1994)
[18] Schroeder, R. C.; Krishnan, R., Return on investment as a criterion for inventory models, Decision Sciences, 7, 4, 697-704 (1976)
[19] Sherali, H.; Tuncbilek, C., A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique, Journal of Global Optimization, 2, 101-112 (1992) · Zbl 0787.90088
[20] Sherali, H.; Tuncbilek, C., A reformulation-convexification approach for solving nonconvex quadratic programming problems, Journal of Global Optimization, 7, 1-35 (1995) · Zbl 0844.90064
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