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Optimal Imperfect-Quality Inventory Models for Continuous and Discrete Shipping with Process Improvement and Setup Reduction  

Kim, Dae-Soo (고려대학교 경영대학 경영학과)
Yoo, Seung-Ho (고려대학교 일반대학원 경영학과)
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Abstract
Intelligent investment in setup cost reduction and process reliability improvement is crucial to an emerging integrated lean six sigma practice today. This study examines a cost-minimizing problem of jointly determining production lot size, setup cost reduction, and process reliability improvement decisions for a manufacturer with an imperfect production process. We develop models for previously untapped discrete shipping in a supply chain context as well as continuous shipping and solve them optimally using differential calculus and nonlinear programming. We also conduct analytic and numerical sensitivity analyses to provide various important managerial insights into practices.
Keywords
Inventory; Imperfect Process; Process Reliability Improvement; Setup Reduction; Lean Six Sigma;
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1 Lee H.L. and M.J. Rosenblatt, 'Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System,' Management Science, Vol.33, No.9 (1987), pp.1125-1136   DOI   ScienceOn
2 Schwaller R.L., 'EOQ under Inspection Costs,' Production and Inventory Management, Vol.29, No.3(1988), pp.22-24
3 Tripathy, P.K, W. Wee, and P.R. Majhi, 'An EOQ Model with Process Reliability Considerations,' Journal of the Operational Research Society, Vol.54, No.5(2003), pp.549- 554   DOI   ScienceOn
4 Crosby, P., Quality Is Free, McGraw-Hill, New York, 1979
5 Kim, S. and B. Arinze, 'A Knowledge Based Decision Support System for Setup Reduction,' Decision Sciences, Vol.23, No.6(1992), pp.1389-1407   DOI
6 Lee J.S. and K.S. Park, 'Joint Determination of Production Cycle and Inspection Intervals in a Deteriorating Production,' Journal of the Operational Research Society, Vol.42, No.9(1991), pp.775-783   DOI
7 Rahim, M.A. and M. Ben-Daya, 'Joint Determination of Production Quantity, Inspection Schedule, and Quality Control for an Imperfect Process with Deteriorating Products,' Journal of the Operational Research Society, Vol.52, No.12(2001), pp.1370-1378   DOI   ScienceOn
8 Spence, A.M. and E.I. Porteus, 'Setup Reduction and Increased Effective Capacity,' Management Science, Vol.33, No.10 (1987), pp.1291-1301   DOI   ScienceOn
9 Anily, S., 'Single-Machine Lot-Sizing with Uniform Yields and Rigid Demands : Ro bustness of the Optimal Solution,' lIE Transactions, Vol.27, No.5(1995), pp.625-633
10 Fine, C.H., 'Quality Improvement and Learning in Productive Systems,' Management Science, Vol.32, No.10(1986), pp.1301-1315   DOI   ScienceOn
11 Lee, W.J., D. Kim, and A.V. Cabot, 'Optimal Demand Rate, Lot Sizing and Process Reliability Improvement Decisions,' lIE Transactions, Vol.28, No.1(1996), pp.941-952
12 Salarneh, M.K and M.Y. Jaber, 'Economic Production Quantity Model for Items with Imperfect Quality,' International journal of Production Economics, Vol.64, No.1-3(2000), pp.59-64   DOI   ScienceOn
13 Schonberger, R.J., Japanese Manufacturing Techniques, The Free Press, New York, 1982   DOI   ScienceOn
14 Yoo, S.H., 'Collaborative and Integrative Models for Cost and Quality Capability Improvement in a Supply Chain,' Korea University Business School, Unpublished Ph.D. dissertation (2009)
15 Chiang, A.C., Fundamental Methods of Mathematical Economics, 2nd edition, McGraw- Hill, New York, 1974
16 Hall, R., Zero Inventories, Dow Jones-Irwin, Homewood, 1983
17 Kim, C.H., Y. Hong, and S.Y. Chang, 'Optimal Production Run Length and Inspection Schedules in a Deteriorating Production Process,' IIE Transactions, Vol.33, No.5(2001), pp.421-426   DOI   ScienceOn
18 Liou, M., S. Tseng, and T. Lin, 'The Effects of Inspection Errors to the Imperfect EMQ Model,' lIE Transactions, Vol.26, No.2(1994), pp.42-51   DOI   ScienceOn
19 Womack, J.P., D.T. Jones, and D. Ross, The Machine that Changed the World, Rawson, New York, 1990
20 Deming, W.E., Quality, Productivity, and Competitive Position, MIT Press, Cambridge, 1982
21 Billington, P.J., 'The Classic Economic Production Quantity Model with Setup Cost as a Function of Capital Expenditure,' Decision Sciences, Vol.18, No.1(1987), pp.25-42.   DOI   ScienceOn
22 Lee H.L. and M.l. Rosenblatt, 'A Production and Maintenance Planning Model with Restoration Cost Dependent on Detection Delay,' IIE Transactions, Vol.21 , No.4(1989), pp.68-75   DOI
23 Robinson Jr., E.P. and F. Sahin, 'Economic Production Lot Sizing with Periodic Costs and Overtime,' Decision Sciences, Vol.32, No.3(2001), pp.423-452   DOI   ScienceOn
24 Rosenblatt M.J, and H.L. Lee, 'Economic Production Cycles with Imperfect Production Processes,' lIE Transactions, Vol.21 No.1(1986), pp.48-55   DOI
25 Cheng, T.C.E., 'EPQ with Process Capability and Quality Assurance Considerations,' Journal of the Operational Research Society, Vol.42, No.8(1991), pp.713-720   DOI
26 Kim, D. and W.J. Lee, 'Optimal Joint Pricing and Lot Sizing with Fixed and Variable Capacity,' European Journal of Operational Research, Vol.109, No.1 (1997), pp.212-216   DOI   ScienceOn
27 Szendrovits, A.Z., 'Non-Integer Optimal Lot Size Ratios in Two-Stage Production! Inventory Systems,' International Journal of Production Research, Vol.21, No.3 (1983), pp.323-336   DOI   ScienceOn
28 Vickson, R.G., 'Optimal Inspection Sublots for Deteriorating Batch Production,' IIE Transactions, Vol.30, No.11(1998), pp.1019-1024   DOI
29 Yano, C.A. and H.L. Lee, 'Lot Sizing with Random Yields: A Review,' Operations Research, Vol.43, No.2(1995), pp.311-334   DOI   ScienceOn
30 Guu, S. and A.X. Zhang, 'The Finite Multiple Lot Sizing Problem with Interrupted Geometric Yield and Holding Costs,' European Journal of Operational Research, Vol. 145, No.3(2003), pp.635-644   DOI   ScienceOn
31 Rahim, M.A., 'Joint Determination of Production Quantity, Inspection Schedule and Control Chart Design,' lIE Transactions, Vol.26, No.6(1994), pp.2-11   DOI   ScienceOn
32 Cheng, T.C.E., 'An Economic Order Quantity Model with Demand-Dependent Unit Production Cost and Imperfect Production Process,' lIE Transactions, Vol.23, No.1 (1991), pp.23-28   DOI   ScienceOn
33 Juran, J,M. and F.M. Gryna Jr., Quality Planning and Analysis, 2nd edition, McGraw- Hill, New York, 1980
34 Zhang X. and Y. Gerchak, 'Joint Lot Sizing and Inspection Policy in an EOQ Model with Random Yield,' IIE Transactions, Vol.22, No.1 (1990), pp.41-47   DOI
35 Kim, D., V.A. Mabert, and P.A. Pinto, 'Integrative Cycle Scheduling Approach for a Capacitated Flexible Assembly System,' Decision Sciences, Vol.24, No.1(1993), pp. 126-147   DOI   ScienceOn
36 Porteus, E.L., 'lnvesting in Reduced Setups in the EOQ Model,' Management Science, Vol.31, No.8(1985), pp.998-1010   DOI   ScienceOn
37 Shingo, S., Modem Approaches to Manufacturing Improvement: The Shingo System Robinson A (ed), Productivity Press, Cambridge, 1990
38 Leung, K.F., 'A Generalized Geometric Programming Solution to 'An Economic Production Quantity Model with Flexibility and Reliability Considerations',' European Journal of Operational Research, Vol.176, No.1(2007), pp.240-251   DOI   ScienceOn
39 Cheng, T.C.E., 'An Economic Production Quantity Model with Flexibility and Reliability Considerations,' European Journal of Operational Research, Vol.39, No.2(1989), pp.174-179   DOI   ScienceOn
40 George, M.L., Lean Six Sigma: Combining Six Sigma Quality with Lean Speed, McGraw- Hill, New York, 2002
41 Voros, J., 'Lot Sizing with Quality Improvement and Setup Time Reduction,' European Journal of Operational Research, Vol.113, No.3(1999), pp.568-574   DOI   ScienceOn
42 Yeh, RH. and T. Chen, 'Optimal Lot Size and Inspection Policy for Products with Warranty,' European Journal of Operational Research, Vol.174, No.2(2006), pp.766- 776   DOI   ScienceOn
43 Suzaki, K, The New Manufacturing Challenge : Techniques for Continuous Improvement, The Free Press, New York, 1987
44 Porteus, E.L., 'Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction,' Operations Research, Vol.34, No.1(1986), pp.137-144   DOI   ScienceOn
45 Kim, D., 'Optimal Two-Stage Lot Sizing and Inventory Batching Policies,' International Journal of Production Economics, Vol.58, No.3(1996), pp.221-234   DOI   ScienceOn