Towards dominant flexibility configurations in strategic capacity planning under demand uncertainty
Tóm tắt
The research herein addresses the strategic capacity planning problem in a multi-product, multi-plant setting under demand uncertainty. Past research provides a number of useful insights on the relationship between the degree of flexibility and the optimal product-plant configuration, based on product demand, product price, and plant capacity. A few prior studies, however, have addressed both capacity and product-plant configuration together as decision variables. In this paper, we develop a two-stage stochastic programming model to determine the capacity and the product-plant configuration to maximize the expected profit. For a four-product, four-plant setting, a computational study is conducted using the sample based optimization procedure with the assumption that the product demand follows a multivariate normal distribution. The model is solved in order to understand the effect of the product-plant configurations on expected profit and investment in capacity. We also examined the extent to which the observations are sensitive to product price, flexibility investment cost, average demand, variance in demand, and product demand correlation. The results provide some new insights on the flexibility structure in capacity planning. For example, with capacity as the decision variable, none of our optimal solutions support a ‘closed chain’ structure. For asymmetric product demand, high-demand products with positive correlation should be allocated to dedicated plants. Some of the optimal flexibility structures required investment in three different degrees of flexibility: dedicated, two-product flexible and three-product flexible. In conclusion, we provide several managerial insights based on the results of the study.
Tài liệu tham khảo
Ahmed, S., King, A.J., Parija, G.: A multi-stage stochastic integer programming approach for capacity expansion under uncertainty. J. Glob. Optim. 26(1), 3–24 (2003)
Aksin, O.Z., Karaesmen, F.: Characterizing the performance of process flexibility structures. Oper. Res. Lett. 35(4), 477–484 (2007)
Aksin, O.Z., Çakan, N., Karaesmen, F., Örmeci, E.L.: Flexibility structure and capacity design with human resource considerations. Prod. Oper. Manag. 24, 1086–1100 (2015). doi:10.1111/poms.12333
Bassamboo, A., Randhawa, R.S., Mieghem, J.A.V.: Optimal flexibility configurations in newsvendor networks: Going beyond chaining and pairing. Manag. Sci. 56(8), 1285–1303 (2010)
Beach, R., Muhlemann, A.P., Price, D.H.R., Paterson, A., Sharp, J.A.: A review of manufacturing flexibility. Eur. J. Oper. Res. 122(1), 41–57 (2000)
Bengtsson, J., Olhager, J.: Valuation of product-mix flexibility using real options. Int. J. Prod. Econ. 78(1), 13–28 (2002)
Bish, E.K., Wang, Q.: Optimal investment strategies for flexible resources, considering pricing and correlated demands. Oper. Res. 52(6), 954–964 (2004)
Boyer, K.K., Leong, G.K.: Manufacturing flexibility at the plant level. OMEGA Int. J. Manag. Sci. 24(5), 495–510 (1996)
Chandra, C., Everson, M., Grabis, J.: Evaluation of enterprise-level benefits of manufacturing flexibility. OMEGA Int. J. Manag. Sci. 33(1), 17–31 (2005)
Chen, Z.L., Li, S., Tirupati, D.: A scenario-based stochastic programming approach for technology and capacity planning. Comput. Oper. Res. 29(7), 781–806 (2002)
Chod, J., Rudi, N.: Resource flexibility with responsive pricing. Oper. Res. 53, 532–548 (2005)
Choi, S., Ruszczynski, A.: A risk-averse newsvendor with law invariant coherent measures of risk. Oper. Res. Lett. 36(1), 77–82 (2008)
Choi, S.H., Kim, J.S.: A study on the measurement of comprehensive flexibility in manufacturing systems. Comput. Ind. Eng. 34(1), 103–118 (1998)
Chou, M.C., Chua, G.A., Teo, C.P.: On range and response: Dimensions of process flexibility. Eur. J. Oper. Res. 207(2), 711–724 (2010)
Chou, M.C., Chua, G.A., Teo, C.-P., Zheng, H.: Process flexibility revisited: The graph expander and its applications. Oper. Res. 59(5), 1090–1105 (2011)
Chryssolouris, G., Efthymiou, K., Papakostas, N., Mourtzis, D., Pagoropoulos, A.: Flexibility and complexity: is it a trade-off? Int. J. Prod. Res. 51(23-24), 6788–6802 (2013)
Eppen, G.D., Martin, R.K., Schrage, L.: A scenario approach to capacity planning. Oper. Res. 37(4), 517–527 (1989)
Fine, C.H., Freund, R.M.: Optimal investment in product-flexible manufacturing capacity. Manag. Sci. 36(4), 449–467 (1990)
Francas, D., Kremer, M., Minner, S., Friese, M.: Strategic process flexibility under lifecycle demand. Int. J. Prod. Econ. 121(2), 427–440 (2009)
Gong, Z., Hu, S.: An economic evaluation model of product mix flexibility. Omega 36(5), 852–864 (2008)
Graves, S., Tomlin, P.: Process flexibility in supply chains. Manag. Sci. 49(7), 907–919 (2003)
Gupta, D., Gerchak, Y., Buzacott, J.A.: The optimal mix of flexible and dedicated manufacturing capacities: Hedging against demand uncertainty. Int. J. Prod. Econ. 28(3), 309–319 (1992)
Gurumurthi, S., Benjaafar, S.: Modeling and analysis of flexible queueing systems. Nav. Res. Logist. (NRL) 51(5), 755–782 (2004)
He, P., Chen, Z., Xu, X.: On flexibility investment in manufacturing system: A multi-objective decision making method. Expert Syst. Appl. 38, 11,813–11,819 (2011)
He, P., Xu, X., Hua, Z.: A new method for guiding process flexibility investment. Int. J. Prod. Res. 50(14), 3718–3737 (2012)
Iravani, S.M., Oyen, M.P.V., Sims, K.T.: Structural flexibility: A new perspective on the design of manufacturing and service operations. Manag. Sci. 51(2), 151–166 (2005)
Jain, A., Jain, P., Chan, F.T., Singh, S.: A review on manufacturing flexibility. Int. J. Prod. Res. 51(19), 5946–5970 (2013)
Jordan, W.C., Graves, S.C.: Principles on the benefits of manufacturing process flexibility. Manag. Sci. 41(4), 577–594 (1995)
Koste, L.L., Malhotra, M.K.: A theoretical framework for analyzing the dimensions of manufacturing flexibility. J. Oper. Manag. 18(1), 75–93 (1999)
Li, S., Tirupati, D.: Dynamic capacity expansion problem with multiple products: Technology selection and timing of capacity additions. Oper. Res. 42(5), 958–976 (1994)
Liu, T., Li, M.: Structural flexibility indices with shrinking capacities in cross production. Int. J. Prod. Res. 50(2), 393–407 (2012)
lp_solve, Konis, K.: lpSolveAPI: R Interface for lp_solve version 5.5.2.0. R package version 5.5.2.0-14, http://CRAN.R-project.org/package=lpSolveAPI (2014)
Mak, H.Y., Shen, Z.J.M.: Stochastic programming approach to process flexibility design. Flex. Serv. Manuf. J. 21(3-4), 75–91 (2009)
Mieghem, J.A.V.: Investment strategies for flexible resources. Manag. Sci. 44(8), 1071–1078 (1998)
Mieghem, J.A.V., Dada, M.: Price versus production postponement: Capacity and competition. Manag. Sci. 45, 1631–1649 (1999)
Mieghem, J.A.V., Rudi, N.: Newsvendor networks: Inventory management and capacity investment with discretionary activities. Manuf. Serv. Oper. Manag. 4(4), 313–335 (2002)
Muriel, A., Somasundaram, A., Zhang, Y.: Impact of partial manufacturing flexibility on production variability. Manuf. Serv. Oper. Manag. 8(2), 192–205 (2006)
Netessine, S., Dobson, G., Shumsky, R.A.: Flexible service capacity: Optimal investment and the impact of demand correlation. Oper. Res. 50(2), 375–388 (2002)
R Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, https://www.R-project.org/ (2015)
Pourahmadi, M.: Cholesky decompositions and estimation of a covariance matrix: Orthogonality of variance–correlation parameters. Biometrika 94(4), 1006–1013 (2007)
Sethi, A.K., Sethi, S.P.: Flexibility in manufacturing: A survey. Int. J. Flex. Manuf. Syst. 2(4), 289–328 (1990)
Sheikhzadeh, M., Benjaafar, S., Gupta, D.: Machine sharing in manufacturing systems: Total flexibility versus chaining. Int. J. Flex. Manuf. Syst. 10(4), 351–378 (1998)
Simchi-Levi, D., Wei, Y.: Understanding the performance of the long chain and sparse designs in process flexibility. Oper. Res. 60(5), 1125–1141 (2012)
Simchi-Levi, D., Wei, Y.: Worst-case analysis of process flexibility designs. Oper. Res. 63(1), 166–185 (2015)
Tang, C., Tomlin, B.: The power of flexibility for mitigating supply chain risks. Int. J. Prod. Econ. 116(1), 12–27 (2008)
Tomlin, B.: Managing supply-demand risk in global production: Creating cost-effective flexible networks. Bus. Horiz. 57(4), 509–519 (2014)
Deng, T., Shen, Z.J.M.: Process flexibility design in unbalanced networks. Manuf. Serv. Oper. Manag. 15(1), 24–32 (2013)
Vokurka, R.J., O’Leary-Kelly, S.W.: A review of empirical research on manufacturing flexibility. J. Oper. Manag. 18(4), 485–501 (2000)
Wang, X., Zhang, J.: Process flexibility: A distribution-free bound on the performance of k-chain. Oper. Res. 63(3), 555–571 (2015)