Title

生產前製標準品與多種後製客製品生產系統回應時間之研究

Translated Titles

Service Level Approximation through The Response Time of MTO/MTS Production System

DOI

10.6840/CYCU.2014.00366

Authors

陳冠樺

Key Words

MTO/MTS生產系統 ; 基本庫存量策略 ; 矩陣-幾何方法 ; 階段型分配 ; 庫存等候系統 ; Inventory Queueing System ; Phase-type Distribution ; Base Stock Policy ; Matrix-geometric Method ; MTO / MTS production system

PublicationName

中原大學工業與系統工程研究所學位論文

Volume or Term/Year and Month of Publication

2014年

Academic Degree Category

碩士

Advisor

張國華

Content Language

繁體中文

Chinese Abstract

本研究考慮一個混合式生產系統,生產標準品滿足一般訂單需求,客製品滿足特殊訂單要求。製造商為了滿足一般性訂單需求,採MTS(Make-to-Stock;MTS)生產系統的方式生產標準品,同時為了滿足特殊訂單需求,採用MTO(Make-to-Order;MTO)生產系統的方式生產客製品。在一般的情況下,一般需求是一個計畫性訂單,應立即被滿足。客製品將取用加工完成的標準品為半成品。當顧客到達時,將要探討如何馬上滿足一般訂單需求以及如何快速的在交付時間(Lead time)內滿足特殊訂單需求。為了要滿足一般訂單需求且縮短特殊訂單需求的回應時間(Response time),將在標準品庫存區存放若干個完成品,此種庫存控制方法稱為安全庫存量策略(Base-stock policy)。 本研究應用等候線方法建立一個混合式生產系統。定義一般需求的顧客到達系統後馬上被滿足的機率,稱為滿足率(Fill rate);特殊需求顧客到達系統後,顧客在系統的回應時間(Response time)在交付時間(Lead time)內被滿足的機率稱為及時交付率(On-Time-Delivery-Rate;OTDR),滿足率(Fill rate)與及時交付率(On-Time-Delivery-Rate;OTDR)為評估系統的績效指標。滿足率(Fill rate)應用幾何-矩陣法(Matrix-Geometric Method;MGM)求得相對應的極限機率,及時交付率(On-Time-Delivery-Rate;OTDR) 應用吸態(Absorbing state)求得顧客在系統中的回應時間(Response Time)。 本研究也建立多種後製品庫存等候線系統,並應用階段型分配(Phase-type Distribution)去估計顧客在系統中的回應時間(Response time),本研究的目的為估計一個基本庫存水準同時滿足一般訂單需求的滿足率(Fill rate)與及時交付率(On-Time-Delivery-Rate;OTDR)滿足特殊訂單需求。

English Abstract

We consider a hybrid production system producing the standard products for the ordinary demand and custom products for the special demands. Manufacturers, in addition to fulfilling the ordinary demands for standard product by adopting make-to-stock (MTS) production, they need to satisfy special demand and adopt make-to-order (MTO) production. In usual cases, ordinary demands are the planned orders and should be satisfied immediately, however, there is a time window for the customer-oriented demand. The custom product is made by modifying the existing standard product. How to satisfy the ordinary demand immediately upon their arrivals and how to quickly satisfy special demands in time is a challenge to face for this system. In order to satisfy the ordinary demand immediately and shorten the response time of the special demand, we have some initial stock of standard products, of which control policy is called the base-stock policy. We model the hybrid system as a queueing system. In evaluating the systems, the fill rate is defined as the percentage of ordinary demands that are satisfied immediately and the response time is defined as the time from the arrival of a special demand till the demand is satisfied. In this study, we apply matrix - geometric method (MGM) to obtain their corresponding limiting probability, based on which, we obtain the fill rate of the ordinary customer and furthermore, we obtain the response time of the special demand by adopting the absorbing states. However, for a multiple-type customers system, we use phase-type distribution to estimate the response time. Our objective is to estimate the base stock level that the required fill rate of ordinary demands and the On-Time-Delivery-Rate (OTDR) of the special demands are satisfied.

Topic Category 電機資訊學院 > 工業與系統工程研究所
工程學 > 工程學總論
Reference
  1. 1. Adan, I. J. B. F. and Wal, J. V. D., 1998, Combining make to order and make to stock, OR Spektrum 20, 73-81.
    連結:
  2. 2. Agehezzaf, E. H. and Landeghem, H.V., 2002, An integrated model for inventory and production planning in a two-stage hybrid production system, International Journal of Production Research 40(17), 4323-4339
    連結:
  3. 3. Al-Hawari, T., Aqlan, F., and Al-Araidah, O., 2010, Performance analysis of an automated production system with queue length dependent service rates, International Journal of Simulation Modelling 9(4), 184-194.
    連結:
  4. 4. Altiok, T., 1989, Approximate analysis of queues in series with phase-type service times and blocking, Operations Research 37(4), 601-610.
    連結:
  5. 5. Altiok, T. and Perros, H. G., 1987, Approximate analysis of arbitrary configurations of open queueing networks with blocking, Annals of Operations Research 9(1-4), 481-509.
    連結:
  6. 7. Bright, L. and Taylor, P.G., 1995, Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes, Stochastic Models 11, 497-526.
    連結:
  7. 8. Carr, S. and Duenyas, I., 2000, Optimal admission control and sequencing in a Make-to- Stock/Make-to-Order production system, Operations Research 48(5), 709-720.
    連結:
  8. 9. Chang, K. H., Lu, Y. S. and Ku, T. S., 2008, Performance analysis of a single station MTO/MTS hybrid production system, Proceedings of 2008 IEEE International Conference on Service Operations and Logistic, Beijing, China, 244-249.75.
    連結:
  9. 11. Chang,K. H. and Lu, Y. S., 2010, Inventory management in a base-stock controlled series production system with finite storage, Mathematical and Computer Modelling, Volume 54, Issues 11–12, Pages 2750–2759
    連結:
  10. 12. Dasci, A. and Karakul, M., 2008, Performance evaluation of a single-stage two product manufacturing system operating under pull-type control, Computers and Operations Research 35, 2861-2876.
    連結:
  11. 13. Duri, C., Frein, Y., and Mascolo, M. Di, 2000, Performance evaluation and design of base stock systems, European Journal of Operational Research 127, 172-188.
    連結:
  12. 14. Federguruen, A. and Katalan, Z., 1999, Impact of adding a make-to-order item to a make-to-stock production system, Management Science 45(7), 980-994.
    連結:
  13. 15. Gershwin, S. B., Tan, B. and Veatch, M. H., 2009, Production control with backlog-dependent demand, IIE Transactions 41(6), 511-523.
    連結:
  14. 16. Gupta, D. and Benjaafar, S, 2004, Make-to-order, make-to-stock, or delay product differentiation? A common framework for modeling and analysis, Taylor & Francis, pages 529-546
    連結:
  15. 17. Hillier, F. S. and Boling, R. W., 1967, Finite queues in series with exponential or Erlang service times- a numerical approach, Operations Research 15(2), 286-303.
    連結:
  16. 18. Kaminsky, P. and Kaya O., 2009, Combined make-to-order/make-to-stock supply chains, IIE Transactions 41, 103-119.
    連結:
  17. 19. Latouche, G., 1999, Introduction to matrix analytic methods in stochastic modeling, American Statistical Association and the Society for Industrial and Applied Mathematics, Philadelphia.
    連結:
  18. 21. Nguyen, V., 1998, A multiclass hybrid production center in heavy traffic. Operations Research 46(Supp.3), S13-S25.
    連結:
  19. 22. Olsson, R.J. and Hill, R.M., 2007, A two-echelon base-stock inventory model with Poisson demand and the sequential processing of orders at the upper echelon, European Journal of Operational Research 177, 310-324.
    連結:
  20. 23. Rajagopalan, S., 2002, Make-to-order or make-to-stock: model and application, Management Science 48(2), 241-256.
    連結:
  21. 24. Ronald G. and Askin, S. K., 2009, Defining inventory control points in multiproduct stochastic pull systems, International Journal of Production Economics 120, 418-429.
    連結:
  22. 26. Svoronos, A. and Zipkin, P., 1991, Evaluation of one-for-one replenishment policies for multi-echelon inventory systems, Management Science 37(1), 68-83.
    連結:
  23. 27. Tsubone, H., Ishikawa, Y. & Yamamoto, H., 2002, Production planning system for a combination of make-to-stock and make-to-order products, International Journal of Production Research, Volume 40, Issue 18.
    連結:
  24. 28. Vroblefski, M., Ramesh, R. and Zionts, S., 2000, General open and closed queueing networks with blocking: a unified framework for approximation, INFORMS Journal on Computing 12(4), 299-316.
    連結:
  25. 29. Vericourt, F.D., Karaesmen, F., Dallery, Y., 2002, Optimal stock allocation for a capacitated supply system, Management Science, Vol.48, No.11, 1486-1501.
    連結:
  26. 30. Wang, F. F. and Su, C. T., 2007, Performance evaluation of a multi-echelon production, transportation and distribution system: A matrix analytical approach, European Journal of Operational Research 176, 1066-1083.
    連結:
  27. 31. Youssef, K. H., Christian V. D., and Dallery, Y., 2009, Analysis and optimization of a combined make-to-stock and make-to-order multiproduct manufacturing system, Journal of Applied Mathematics and Decision Sciences, 1-27.
    連結:
  28. 32. Zipkin, P., 1995, Processing network with inventories-Tandem queues with feedback, European Journal of Operational Research 80, 344-349.
    連結:
  29. 33. Zipkin, P., 1998, The use of phase-type distribution in inventory –control models. Naval Reasrarch Logistics 35,247-257.
    連結:
  30. 6. Buzacott, J.A. , Price, S.M., and Shanthikumar, J.G., 1992, Service level in multistage MRP and base stock controlled production systems, in: G. Fandel, T. Gulledge, A. Jones (Ed.), New Directions for Operations for Operations Research in Manufacturing System, Springer, New York, 445-464.
  31. 10. Chang, K. H. and Lu, Y. S., 2009, Advances in Queueing Theory and Network Applications. In: Yue, W., Takahashi Y., Takagi, H. (Eds), Handbook of Performance analysis of a two-station MTO/MTS production system, Chapter 8, Springer New York, 147-162.
  32. 20. Neuts M., 1981, Matrix-geometric solutions in stochastic models, Johns Hopkins University Press, Baltimore.
  33. 25. Ross, S. M., 2003, Introduction to Probability Models, San Diego, CA : Academic Press, Eighth Edition.
Times Cited
  1. 黃依庭(2015)。探討多站供應商生產系統需求回復時間之分析。中原大學工業與系統工程研究所學位論文。2015。1-51。 
  2. 黃竹雅(2015)。吸態時間分析應用在庫存生產系統。中原大學工業與系統工程研究所學位論文。2015。1-74。