DOI QR코드

DOI QR Code

다수의 공장을 포함하는 불확실한 수요예측하의 회분식 공정-저장조 망의 최적설계

Optimal Design Of Multisite Batch-Storage Network under Scenario Based Demand Uncertainty

  • 이경범 (부경대학교 화학공학과) ;
  • 이의수 (동국대학교 생명화학공학) ;
  • 이인범 (포항공과대학교 화학공학과)
  • 발행 : 2004.06.01

초록

An effective methodology is reported for determining the optimal lot size of batch processing and storage networks which include uncertain demand forecasting. We assume that any given storage unit can store one material type which can be purchased from suppliers, internally produced, infernally consumed, transported to or from other sites and/or sold to customers. We further assume that a storage unit is connected to all processing and transportation stages that consume/produce or move the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. A batch transportation process can transfer one material or multiple materials at once between sites. The objective for optimization is to minimize the probability averaged total cost composed of raw material procurement, processing setup, transportation setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two sub-problems. The first yields analytical solutions for determining lot sires while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks for the given demand forecast scenario. The result of this study will contribute to the optimal design and operation of the global supply chain.

키워드

참고문헌

  1. J. D. Camm, T. E. Chorman, F. A. Dill, J. R. Evans, D. J. Sweeney and G. W. Wegryn, Blending OR/MS, Judgement and GIS: Restructuring P&G's Supply Chain, INTERFACES, vol. 27, pp. 128, 1997 https://doi.org/10.1287/inte.27.1.128
  2. J. Gjerdrum, N. Shah and L. G. Papageorgiou, 'Transfer prices for multienterprise supply chain optimization,' Ind. Eng. Chem. Res., vol. 40, pp. 1650,2001 https://doi.org/10.1021/ie000668m
  3. A. Gupta, C. D. Maranas and C. M. McDonald, Mid-term Supply Chain Planning under Demand Uncertainty: Customer Demand Satisfaction and Inventory Management, Computers and Chemical Engineering, vol. 24, pp. 2613, 2000 https://doi.org/10.1016/S0098-1354(00)00617-7
  4. C. M. McDonald and I. A. Karimi, Planning and Scheduling of Parallel Semicontinuous Processes. I. Production Planning, Ind. Eng. Chem. Res., vol. 36, pp. 2691, 1997 https://doi.org/10.1021/ie960901+
  5. L. G. Papageorgiou, G. E. Rotstein and N. Shah, Strategic Supply Chain Optimization for the Pharmaceutical Industries, Ind. Eng. Chem. Res., vol. 40, pp. 275, 2001 https://doi.org/10.1021/ie990870t
  6. E. Perea-Lopez, I. E. Grossmann and B. E. Ydstie, Dynamic Modeling and Decentralized Control of Supply Chains, Ind. Eng. Chem. Res., vol. 40, pp. 2269, 2001 https://doi.org/10.1021/ie000573k
  7. J. P. Shectman and N. V. Sahinidis, A Finite Algorithm for Global Minimization of Separable Concave Programs, Journal of Global Optimization, vol. 12, pp. 1, 1998 https://doi.org/10.1023/A:1008241411395
  8. P. Tsiakis, N. Shah and C. C. Pantelides, Design of Multi-echelon Supply Chain Networks under Demand Uncertainty, Ind. Eng. Chem. Res., vol. 40, pp. 3585, 2001 https://doi.org/10.1021/ie0100030S0888-5885(01)00003-3
  9. G. Yi and G. V. Reklaitis, Optimal Design of Multiple Batch Units with Feedstock/Product Storages, Chem. Eng. Comm., vol. 181, pp. 79, 2000 https://doi.org/10.1080/00986440008912817
  10. G. Yi and G. V. Reklaitis, Optimal Design of Batch-Storage Network by Using Periodic Square Model, AIChE J., vol. 48, pp. 1737,2002 https://doi.org/10.1002/aic.690480815
  11. G. Yi and G. V. Reklaitis, Optimal Design of Batch-Storage Network with Recycle Streams, AIChE J., vol. 49, pp. 3084, 2003 https://doi.org/10.1002/aic.690491210
  12. T. K. Zierer, W. A. Mitchell and T. R. White, Practical Applications of Linear programming to Shell's Distribution Problems, INTERFACES, vol. 6, pp. 13, 1976 https://doi.org/10.1287/inte.6.4.13
  13. 이경범, '준비비와 재고비를 고려한 직렬 비연속 공정과 중간 저장조의 최적설계', 제어.자동화.시스템공학논문지, 제3권,제4호,pp.398-405, 8, 1997
  14. 이경범, '원료 및 제품 저장조를 포함하는 병렬 비연속 공정의 최적 설계', 제어.자동화.시스템공학논문지, 제3권, 제5호, pp. 532-541, 10, 1997
  15. 이경범, 이의수 '회분식 공정-저장조 그물망 구조의 최적 설계', 제어.자동화.시스템공학논문지, 제4권, 제6호, pp. 802-810, 12, 1998
  16. 이경범, 이의수 '비순차 회분식 공정-저장조 망구조 최적 설계', 제어.자동화.시스템공학논문지, 제9권, 제5호, pp. 407-412, 5, 2002 https://doi.org/10.5302/J.ICROS.2003.9.5.407