Joint Admission and Production Sequencing Control for a Make-To-Order System with Two Types of Customer Orders
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
We consider a manufacturer who produces two types of products based on the make-to-order mode of production. We address the problem of jointly managing the admission control and production sequencing, which has not been covered yet in the make-to-order production literature. The model presented in this paper can be considered in the literature as a single server, two-class M/M/1 queueing system with an admission control. Using the Markov decision process framework, we characterized the structure of the optimal admission and production sequencing control policy by three monotonic switching curves.
Abstract
We consider a manufacturer who produces two types of products based on the make-to-order mode of production. We address the problem of jointly managing the admission control and production sequencing, which has not been covered yet in the make-to-order production literature. The model presented in this paper can be considered in the literature as a single server, two-class M/M/1 queueing system with an admission control. Using the Markov decision process framework, we characterized the structure of the optimal admission and production sequencing control policy by three monotonic switching curves.
참고문헌 (18)
- Buyukkoc, C, "The cμ-rule revisited", Advances in Applied Probability, 17, pp.237~238 (1985)
- Carr, S., "Optimal admission control and sequencing in a Make-to-stock and Make-to-order production system", Operations Research, 48, pp.709~720 (2000)
- Duenyas, I., "Heuristic scheduling of parallel heterogeneous queues with set-ups", Management Sciences, 42, pp.814~829 (1996)
- Guhlich, H., "Revenue management approach to due date quoting and scheduling in an assemble-toorder production system" (2015), OR Spectrum
- Gupta, D., "Make-to-order, make-to-stock, or delay product differentiation? A common framework for modeling and analysis", IIE Transactions, 36, pp.529~546 (2004)
- Hofri, M., "On the optimal control of two queues with server setup times and its analysis", SIAM Journal on Computing, 16, pp.399~420 (1987)
- Iravani, S., "Optimal production and admission policies in make-to-stock", make-to-order manufacturing systems, 2012, pp.21, 224~235
- Kim, E., "Beyond the cμ- rule: Dynamic scheduling of a two-class loss queue", Mathematical Methods of Operations Research, 48, pp.17~36 (1998)
- 김은갑, "계획 생산 시설과 주문 생산 시설을 갖는 일렬 생산 시스템에서 재고 할당 및 수요 통제 전략의 통합적 구현", 한국생산관리학회지, 23(2), pp.155~170 (2012), 한국생산관리학회[DOI]
- 김은갑, "주문인도기간 변동성이 복수 수익원을 갖는 주문생산기업의 재고 관리에 미치는 영향 분석", 한국생산관리학회지, 24(3), pp.431~448 (2013), 한국생산관리학회
- 김은갑, "계획", 주문 제품 생산 시스템에서 생산 유형 결정, 수요 통제, 부품재고 관리에 대한 연구, 2014, pp.25(4), 383~400[DOI]
- Koole, G., "Assigning a single server to inhomogeneous queues with switching costs", Theoretical Computer Science, 182, pp.203~216 (1997)
- Lippman, S., "Applying a new device in the optimization of Exponential queueing systems", Operations Research, 23, pp.687~710 (1975)
- Liu, Z., "On optimal polling policies", Queueing Systems, 11, pp.59~83 (1992)
- Millhisera, W., "Optimal admission control in series production systems with blocking", IIE Transactions, 45, pp.1035~1047 (2013)
- Porteus, E., "Conditions for characterizing the structure of optimal strategies in infinitehorizon dynamic programs", Journal of Optimization Theory and Applications, 36, pp.419~432 (1982)
- Yang, J., "Inventory Control with Markovian Capacity and the Option of order Rejection", European Journal of Operational Research, 174, pp.622~645 (2006)
- Zhang, B., "Optimal admission control for tandem queues with loss", IEEE Transactions on Automatic Control, 58, pp.163~167 (2013)