Stability analysis for manufacturing systems with unreliable machines and random inputs

1994 ◽  
Vol 39 (3) ◽  
pp. 681-686 ◽  
Author(s):  
Han-Fu Chen ◽  
Qian-Yu Tang
Keyword(s):  
Stability Analysis ◽  
Manufacturing Systems ◽  
Random Inputs ◽  
Unreliable Machines

Modelling and Design of Closed-Loop Manufacturing Systems

2013 ◽  
Vol 378 ◽  
pp. 367-374 ◽  
Author(s):  
Andrey A. Kutin ◽  
Mikhail Turkin
Keyword(s):  
Analytical Method ◽  
Flexible Manufacturing ◽  
Manufacturing Systems ◽  
Manufacturing System ◽  
Flexible Manufacturing System ◽  
Closed Loop ◽  
Production Systems ◽  
Finite Buffers ◽  
Unreliable Machines

This paper introduces an analytical method for evaluating the performance of closed loop manufacturing systems with unreliable machines and finite buffers. The method involves transforming an arbitrary loop into one without thresholds and then evaluating the transformed loop using a new set of decomposition equations. It is more accurate than existing methods and is effective for a wider range of cases. The convergence reliability, and speed of the method are also discussed. In addition, observations are made on the behavior of closed loop production systems under various conditions. Finally, the method is used in a case study to design a flexible manufacturing system for production of aerospace parts.

Resilience Measures of Manufacturing Systems Under Disruptions

2014 ◽  
Author(s):  
Xi Gu ◽  
Xiaoning Jin ◽  
Jun Ni
Keyword(s):  
Manufacturing Systems ◽  
Manufacturing System ◽  
Production Condition ◽  
Unreliable Machines ◽  
System A ◽  
Multi Stage ◽  
Stage System ◽  
Normal Production ◽  
System Resilience ◽  
Production Losses

Unexpected disruptive events always interrupt normal production condition and cause production losses in the manufacturing system. A resilient system is capable of settling itself to the steady-state quickly after the disruption, and compensating for the lost production by using a relatively little overtime. In this paper, we define throughput settling time (TST) and overtime to recover (OTTR) as two resilience measures to analyze multi-stage serial-parallel systems with unreliable machines and finite intermediate buffers. We perform an exact analysis for a two-stage system and develop an approximation method for general multi-stage systems. Numerical case studies are conducted to investigate the system resilience under different configurations.

Analysis of Manufacturing Systems with Parallel Unreliable Machines and Finite Buffer Based on Matrix-Analytic Method

2011 ◽  
Vol 130-134 ◽  
pp. 479-482
Author(s):  
Jia Lu Liu ◽  
Ai Guo Wu
Keyword(s):  
Manufacturing Systems ◽  
Parallel Machines ◽  
Death Process ◽  
Analytic Method ◽  
Finite Buffer ◽  
Matrix Analytic Method ◽  
Unreliable Machines ◽  
Processing Times ◽  
Structure Generator ◽  
Qbd Process

This paper presents a model of manufacturing system with two parallel workstations. The machines in the system are non-identical unreliable machines, and the processing times, failure times and repair times of the machines are assumed to be exponentially distributed. We show that such model can be considered a quasi-birth-death process (QBD) with a tri-diagonal block structure generator matrix. The solution method for the QBD process is a matrix-analytic method chosen based on the characteristic of the parallel system. At last a two station one buffer case with three parallel machines at each station is given to show the accuracy and efficiency of the proposed method.

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