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Performance Evaluation of a CONWIP System with Compound Poisson Demands and Coxian Processing Times  

박찬우 (한국철도기술연구원 철도시스템안전연구본부 안전기술연구팀)
이효성 (경희대학교 기계. 산업시스템공학부)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.31, no.3, 2006 , pp. 63-79 More about this Journal
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.
Keywords
CONWIP System; Performance Evaluation; Queueing Network; Product-Form Approximate Technique; Decomposition; Recursive Technique;
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Times Cited By KSCI : 1  (Citation Analysis)
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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   DOI   ScienceOn
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   DOI
4 Duenyas, I. and W.J, Hopp, 'Estimating the Throughput of an Exponential CONWIP Assembly System,' Queueing Systems, Vol.14(1993), pp,135-157   DOI
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   DOI   ScienceOn
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   DOI
7 Kragewsky, L.J. and L.P. King, 'Kanban, MRP, and Shaping the Manufacturing Environment,' Mgmt. Sci., Vol.33(1987), pp. 39-57   DOI   ScienceOn
8 Spearman, M.L., 'Customer Service in Pull Production System,' Opns. Res., Vol.40 (1992), pp.948-958   DOI   ScienceOn
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 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
12 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   DOI   ScienceOn
13 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   DOI   ScienceOn
14 Marie, R.A., 'An Approximate Analytical Method for General Queueing Networks,' IEEE Trans. Soft. Eng., Vol.SE-5(1979), pp.530-538   DOI   ScienceOn
15 박찬우, 이효성, '주문 조립시스템의 설계 및 성능평가', '한국경영과학회지', 제27권, 제4호 (2002), pp41-65
16 박찬우, 이효성, 김창곤, 'CONWIP 통제방식 에 의해 운영되는 다품목 생산시스템의 성능 평 가', '대한산업공학회지', 제28권, 제1호(2002), pp,1-13
17 박찬우, 이효성, 김창곤, '다단계 수리체계의 성능평가를 위한 폐쇄형 대기행렬 네트워크 모형', '한국경영과학회지', 제25권 제4호(2000) pp.27-44
18 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   DOI   ScienceOn
19 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   DOI   ScienceOn
20 Spearman, M.L., ' Push and Pull Production System: Issues and Comparisons,' Opns. Res., Vol.40(1992), pp.521-532   DOI   ScienceOn
21 Law, A.M. and W.D. Kelton, Simulation Modeling and Analysis, 2nd ed., McGrawHill, New-York, 1991