Abstract

In this study we consider a CONWIP system in which the processing times at each station follow a Coxian distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied immediately are either backordered or lost according to the number of demands that exist at their arrival Instants. For this system we develop an approximation method to calculate performance measures such as steady state probabilities of the number of parts at each station, proportion of lost demands and the mean number of backordered demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product-form approximation method. A recursive technique is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method are compared with those obtained by simulation. Comparisons with simulation show that the approximation method provides fairly good results.

주제어

#CONWIP System   #Performance Evaluation   #Queueing Network   #Product-Form Approximate Technique   #Decomposition   #Recursive Technique  

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참고문헌 (21)

1. 이정은, 이효상 'Compound Poisson 수요를 갖는 CONWIP 시스템의 근사적 분석', '한국 영과학회지', 제23권, 제3호(1998), pp153-168 
2. Baynat, B. and Y. Dallery, 'A Unified View of Product-form Approximation Techniques for General Closed Queueing Networks,' Performance Evaluation Vol.18(1993), pp. 205-224 
3. Buzacott, J,A. and D. Kostelski, 'Matrixgeometric and Recursive Algorithm Solution of a two-stage Unreliable Flow Line,' IIE Trans., Vol.19(1987), pp.429-438 
4. Duenyas, I. and W.J, Hopp, 'Estimating the Throughput of an Exponential CONWIP Assembly System,' Queueing Systems, Vol.14(1993), pp,135-157 
5. Gstettner, S. and H. Kuhn, 'Analysis of Production Control Systems Kanban and CONWIP', Int. J. Prod. Res., Vol.34, No,11 (1996), pp.3253-3273 
6. Kimura, O. and H. Terada, 'Design and Analysis of Pull Systems; a Method of Multistage Production Control,' Int. J. Prod Res., Vol.19(1981), pp.241-253 
7. Kragewsky, L.J. and L.P. King, 'Kanban, MRP, and Shaping the Manufacturing Environment,' Mgmt. Sci., Vol.33(1987), pp. 39-57 
8. Spearman, M.L., 'Customer Service in Pull Production System,' Opns. Res., Vol.40 (1992), pp.948-958 
9. Spearman, M.L., D.L. Woodruff and WJ, Hopp, 'CONWIP: A Pull Alternative to Kanban,' Int. J. Prod. Res., Vol.28(1990), pp.878-894 
10. Karmarkar, U.S., 'Push, Pull and Hybrid Control Schemes,' Working Paper QM8614, (1986) Graduate school of Management, Univ. of Rochester 
11. Duenyas, I, W.J. Hopp and M.L. Spearman, 'Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages,' Mgmt. Sci., Vol.39(1993), pp.975-988 
12. ong, J,S., S.H. Xu, and B. Lin, 'OrderFulfillment Performance Measures in an Assemble-to-Order System with Stochastic Leadtimes,' Operations Research, Vol. 47, No.1(1999), pp,131-149 
13. Marie, R.A., 'An Approximate Analytical Method for General Queueing Networks,' IEEE Trans. Soft. Eng., Vol.SE-5(1979), pp.530-538 
14. 박찬우, 이효성, '주문 조립시스템의 설계 및 성능평가', '한국경영과학회지', 제27권, 제4호 (2002), pp41-65  원문보기 상세보기
15. 박찬우, 이효성, 김창곤, 'CONWIP 통제방식 에 의해 운영되는 다품목 생산시스템의 성능 평 가', '대한산업공학회지', 제28권, 제1호(2002), pp,1-13 
16. 박찬우, 이효성, 김창곤, '다단계 수리체계의 성능평가를 위한 폐쇄형 대기행렬 네트워크 모형', '한국경영과학회지', 제25권 제4호(2000) pp.27-44 
17. Duenyas, I. and W.J. Hopp, 'CONWIP Assembly System with Deterministic Processing and Random Outages,' IIE Transactions, Vol.24, No.4(1992), pp.97-111 
18. Herzog,U., L. Woo and K.M. Chandy, 'Solution of Queueing Problems by a Recusive Technique,' IBM J. Res. Dev., Vol.19 (1975), pp.295-300 
19. Spearman, M.L., ' Push and Pull Production System: Issues and Comparisons,' Opns. Res., Vol.40(1992), pp.521-532 
20. Hall, K.W., 'Synchro MRP: Combined Kanban with an MRP, the Yamaha PTMAC system-production Planning and Control in Japan,' American Production and Inventory Control Society, (1986), pp.43-56 
21. Law, A.M. and W.D. Kelton, Simulation Modeling and Analysis, 2nd ed., McGrawHill, New-York, 1991 

이 논문을 인용한 문헌 (1)

1. Park, Chan-Woo ; Lee, Hyo-Seong 2007. "Order Based Performance Evaluation of a CONWIP System with Compound Poisson Demands" 한국경영과학회지 = Journal of the Korean Operations Research and Management Science Society, 32(1): 137~146  원문보기 상세보기