Journal of the Korean Operations Research and Management Science Society (한국경영과학회지)

The Korean Operations Research and Management Science Society (한국경영과학회)
권호 표지

Proof of the Variability Propagation Principle in a Pull Serial Line : Existence and Measurement

풀흐름라인에서 변동성전파원리에 대한 증명 : 존재와 측정

  • Published : 2002.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this study, we consider infinite supply of raw materials and backlogged demands as given two boundary conditions. And we need not make any specific assumptions about the inter-arrival of external demand and service time distributions. Under these situations, the ultimate objective of this study is to prove the variability propagation principle in a pull serial line and is to measure it in terms of the first two moments of the inter-departure process subject to number of cards in each cell. Two preparations are required to achieve this objective : The one is to derive a true lower bound of variance of the inter-departure process. The other is to establish a constrained discrete minimax problem for the no backorder (backlogging) probabilities in each cell. We may get some fundamental results necessary to a completion for the proof through the necessary and sufficient conditions for existence of optimal solution of a constrained discrete minimax problem and the implicit function theorem. finally, we propose a numeric model to measure the variability propagation principle. Numeric examples show the validity and applicability of our study.

Keywords

References

  1. Computers and Industrial Engineering v.34 A framework and a simulation generator for Kanban-controlled manufacturing system Aytug, H.;Dogan, C.A. https://doi.org/10.1016/S0360-8352(97)00280-5
  2. Operations Research v.40 A model for comtinuous review pill policies in serial inventory systems Bardinelli, R.D. https://doi.org/10.1287/opre.40.1.142
  3. Management Science v.33 A mathematical programming approach to a deterministic kanban system Bitran, G.R.;Chang, L. https://doi.org/10.1287/mnsc.33.4.427
  4. Decision Sciences v.22 A simulation study of sequencing rules in a kanban-controlled flow shop Blair, J.B.;Ali, S.K. https://doi.org/10.1111/j.1540-5915.1991.tb01281.x
  5. Engineering Costs and Production Economics v.17 Queueing models of kanban and MRP controlled production ayatems Buzacott, J.A. https://doi.org/10.1016/0167-188X(89)90050-5
  6. APIEMS, Industrial Engineering and Management Systems v.1 no.1 Convergence and measurment of inter-departure process in a pull serial line : Entropy and augmented Lagrange multiplier approach Choe, S.W.
  7. Management Science v.35 Kanban controlled pull system : An analytic approach Deleersnyder, J.L.;Hodgson, T.J.;Muller(-Malek), H.;O'Grady, P.J. https://doi.org/10.1287/mnsc.35.9.1079
  8. Fundamentals of queueing theory(second edition) Gross, D.;C.M. Harris
  9. Decision Science v.14 A simulation analysis of the Japanese just-in-time technique (with Kanban) for a multiline, multistage production system Huang, P.Y.;Rees, L.P.;Taylor,, B.W. https://doi.org/10.1111/j.1540-5915.1983.tb00189.x
  10. International Journal of Management Science v.26 JIT scheduling rules : A simulation evalution Hum, S.H.;Lee, C.K.
  11. International Journal of Production Research v.23 Just-in-time manufacturing system : A periodic pull system Kim, T. https://doi.org/10.1080/00207548508904728
  12. International Journal of Production Research v.19 Design and analysis of pull system, a method of multi-stage production control Kimura, O.;Terada, H. https://doi.org/10.1080/00207548108956651
  13. Management Science v.36 Analysis of a kanban discipline for dell coordination in production lines I Mitra, D.;Mitrani, I. https://doi.org/10.1287/mnsc.36.12.1548
  14. Operations Research v.35 Analysis of a kanban discipline for cell coordination in production lines Ⅱ: Stochastic demands Mitra, D.;Mitrani, I.
  15. International Journal od Production Research v.23 Some way to increase flexibility in manufacturing systems Muramatsu, R.;Ishii, K.;Takahashi, K. https://doi.org/10.1080/00207548508904738
  16. International Journal of Production Research v.25 no.3 An investigation of the factors influencing the number of kanbans required the implementastion of the JIT technique with kanbans Pjilipoom, P.R.;Rees, L.P.;B.W. Taylor, Ⅲ;P.Y. Huang https://doi.org/10.1080/00207548708919853
  17. International Journal of Production REseaarch v.26 The effect of imbalance in a Just-in-time production system : A simulation study Sarker, B.R.;Harris, R.D. https://doi.org/10.1080/00207548808947837
  18. International Journal of Production Research v.27 The performance of push and pull systems : A simulation and comparative study Sarker, B.R.;Fizsmmons, J.A. https://doi.org/10.1080/00207548908942650
  19. Interfaces v.13 no.4 Applications of single-card and dual-card kanbans Schonberger, R.J.
  20. Operations Research v.40 Customer service in pull production systems Spearman, M.L. https://doi.org/10.1287/opre.40.5.948
  21. Management Science v.36 Arranging queues in series : A simulation experiment Suresh, S.;Whitt, W. https://doi.org/10.1287/mnsc.36.9.1080
  22. Management Science v.39 Structural results and a heuristic for kanban control serial lines Tayur, S. https://doi.org/10.1287/mnsc.39.11.1347