주문량에 따라 생산 속도를 조절하는 제조시스템의 분석 = Analysis of a Manufacturing System with State-dependent Production Rate

다국어 초록 (Multilingual Abstract)

In this study, we analyze a manufacturing system with a variable production rate. The system produces an item upon a request. If an arriving request finds the system occupied, the request waits in the queue. The production (or service) time distribution of requests (or customers) upon production initiation is changed if the number of requests in the system reaches a predefined threshold L₂. Then, the changed production time distribution continues until the number of requests in the system is reduced to another threshold L₁（≤ L₂）, and this process is repeated. We model this system as an MMPP/G/1/K queue with a modified state-dependent service rate and analyze the system using an embedded Markov chain and a supplementary variable method. The performance measures of the queue-length distributions at a customer`s departure epochs and at an arbitrary time are derived. Numerical examples are also presented.

참고문헌 (Reference)

1 A. Chydzinski, "The oscillating queue with finite buffer" 57 (57): 341-355, 2004

2 M. Saffari, "The M/M/1 queue with inventory, lost sale, and general lead times" 75 : 65-77, 2013

3 A. Chydzinski, "The oscillating queueing system" 42 (42): 255-268, 2002

4 O. Berman, "Stochastic models for inventory management at service facilities" 15 (15): 695-718, 1999

5 A. D. Banik, "Some aspects of stationary characteristics and optimal control of the oscillating queueing system" 31 (31): 204-230, 2015

6 A. Krishnamoorthy, "Production inventory with service time and vacation to the server" 22 (22): 33-45, 2011

7 D.I. Choi, "Performance analysis of novel overload control with threshold mechanism" 2016 : 1-8, 2016

8 O. Berman, "Inventory management at service facilities for systems with arbitrarily distributed service times" 16 : 343-360, 2000

9 O. Berman, "Deterministic approximations for inventory management at service facilities" 25 : 98-104, 1993

10 W.W. Nasr, "Continuous policy with MMPP correlated demand" 246 (246): 874-885, 2015

11 K.Y. Zhernovyi, "An system with two-threshold hysteresis strategy of service intensity switching" 57 (57): 1340-1349, 2012

12 K.Y. Zhernovyi, "An system with hysteretic switching of the service intensity" 58 (58): 602-612, 2013

13 최두일, "ANALYSIS OF THE MMPP/G/1/K QUEUE WITH A MODIFIED STATE-DEPENDENT SERVICE RATE" 한국산업응용수학회 18 (18): 295-304, 2014