John Yuan

National Tsing Hua University | NTHU · Department of Industrial Engineering

This study proposes a general maintenance policy for a system whose deterioration process is in a Gamma process. Such systems under scheduled inspection will be modeled by a multi-state Markov system with time-dependent transition probabilities. Such a policy is mainly to determine, at each inspection time nd, the optimal maintenance action from mu...

Chaos and independent component analysis (ICA) encryptions are two novel schemes for secure communications. In this paper, a new scheme combining chaos and ICA techniques is proposed to enhance the security level during communication. In this scheme, a master chaotic system is embedded at the transmitter. The message signal is mixed with a chaotic...

This paper is to propose a two-stage preventive maintenance (PM) policy for the multi-state deterioration system under periodic inspection and with multiple candidate actions for PM. Such policy is mainly to schedule PM optimally and also on how to choose the action optimally for each PM. The scheduling includes two tasks: to determine after comple...

The study monitored physiological parameter changes after 120-min of simulated driving. Blood pressures, heart rate (HR), heart rate variability (HRV) and palm temperatures were measured using an ANSWatch(®) monitor. Subjects were divided into two groups (A & B). Both groups performed 2-hour driving, but group B additionally took a 15-min exercise...

Introduction: Driving fatigue is one of the most common causes for traffic accidents. Immobilization of legs, hip, and waist is thought to play a major role in driving fatigue, as it hinders blood circulation and induce hemodynamic changes. Objective: the objective of the study was to monitor changes in physiological parameters before and after in-...

This paper presents both a closed form and a sample path method to calculate and estimate the performance indices such as the mean and variance of the transient throughput, and the probability that the total outputs will satisfy the demand on time for a series system of unreliable machines with the same production rate and without intermediate buff...

This article mainly generalizes the flow (or transportation) reliability problem for a directed capacitated-flow network in which the capacity of each arc a(i) has the values 0 < I < 2 < ... < M-i from s (source) to t (sink) case to a multiple node pairs case. Given the demands for all specified node pairs simultaneously in the network, a simple al...

This paper presents a closed form method with exponential function to calculate performance measures, such as expected value and variance of the transient throughput, and the probability that measures the delivery in time for a balanced serial production with no interstage buffers. Such approach is based on the assumptions that 1) each machine alte...

The purpose of this article is to propose both state and time-dependent preventive maintenance policy for a multi-state deteriorating system, which is equipped with inspection equipment(s) connected to a computer center. After the system being identified as state x at nd through computation by the computer center after inspection (or measurement) v...

This paper is mainly to extend the MMCF (multi-commodity minimum cost flow) problem from deterministic flow nettworks to ~t~ochastic cases. Under t,he tran~port~at~ion budget c~nst~raint~, this paper proposes an approach to calculat,e the probabilit,~ t,hat t,he required amount of multi-commodity can be transmitted successfully through a ~tochast~i...

This study proposes a state-dependent maintenance policy Ri,j(T,N,α) for a multi-state continuous-time Markovian deteriorating system subject to aging and fatal shocks and with states 0 (new state) <1<2<…<L (failed-state). Under Ri,j(T,N,α), the system is inspected at each kT for k=1,2,3… to identify the current state as, say a, and then do-nothing...

This paper proposes a revised algorithm to evaluate the unreliability of a flow network in which capacities of arcs are assumed to be independent binary-valued random variables. Such a problem is a generalization of the well-known NP-hard two-terminal reliability problem which evaluates the probability of the connection from a source node to a sink...

For a continuous-time multi-state Markovian deteriorating (production) system subject to aging and fatal shocks and with states 0 (perfect state)<1<2< …<L (complete failure), we propose a control limit maintenance policy such that the system is inspected at T, 2T, … to identify system state and then a action from {do-nothing, repair, replacement} i...

This paper is mainly to extent the MMCF(multi-commodity minimum cost flow)problem from deterministic flow networks to stochastic cases. Under the transportation budget constraint, this paper proposes an approach to calculate the probability that the required amount of multi-commodity can be transmitted successfully through a stochastic flow network...

A continuous-time multi-state Markovian deteriorating system subject to aging and fatal shocks under continuous inspection is investigated in this paper. An action is chosen from {do-nothing, repair, replace} upon each state x transited from the resulting state after the last action and so it is state-dependent. Henceforth, a state-dependent mainte...

The objectives of this article are: (1) to develop the fault trees for control loops in a way that they all appear in a proper form and as modules in the fault tree for the whole system; and also (2) to modularize each control loop in a system properly to establish its unit model. These two methods are essentially equivalent. Either of them can be...

本文討論將某特定供應商特定數量之多種商品(multicommodity)委由運輸公司利用貨櫃運輸至某一客戶處之可靠度問題：考慮運輸公司能夠調派的貨櫃數量並非固定而是機率性且供應商本身有運輸預算的限制下，求算運輸可靠度（即能夠成功運輸至客戶處之機率），本文首先將此問題以流量限制網路(capacitated-flow network)模式表示，在相同之需求量及預算要求下，針對兩種不同的貨櫃裝載情況分別提出簡便的演算法以求出運輸可靠度，並以實例說明。 Abstract This paper considers a transportation problem in which multiple types of commodities are transported simultaneously...

Many real-world systems such as electric power transmission and distribution systems, transportation systems, and communication systems can be regarded as probabilistic networks whose arcs have independent, finite and multi-valued random lengths. Such a network is indeed a multistate system with multistate components and so its reliability for leve...

Notes that the so-called age replacement model was first proposed to determine the optimum age limit at which the system is replaced after installation. It was then extended by further assuming that the one-unit system is supported by a buffer which stores only one spare for replacement, and that whenever each replacement starts, one new unit is or...

The purpose of this article is to explain how to decompose a system so that its fault trees can be synthesized more efficiently and in a structured and recursive manner. Under such a decomposition, modules such as control/trip loops will be regarded as dummy units at first so that the system size can be reduced significantly and dramatically. The f...

Many real-world systems such as electric power transmission and distribution systems, transportation systems, and manufacturing systems can be regarded as flow networks whose arcs have independent, finite, and multivalued random capacities. Such a flow network is indeed a multistate system with multistate components and so its reliability for the s...

A method is presented to model the functional or operational behavior of each unit by (1) executing a failure mode and effect analysis and then determining states of the unit, (2) classifying the deviation of each variable of the unit into finite levels and (3) determining the marginal contribution of each in-variable to each out-variable of the un...

Many systems can be regarded as flow networks whose arcs have discrete and multi-valued random capacities. The probability of the maximum flow at each various level and the reliability of such a flow network can be calculated in terms of K-lattices which are generated from each subset of the family of all MCs (minimal cutsets). However the size of...

This paper is concerned with a periodical replacement policy for a system which is subjected to shocks. Such shock can be classified, depending on its effect to the system, into two types: Lethal and Nonlethal. Whenever the system receives a nonlethal shock, it does damage to the system in the sense that it increases the failure rate. However, a le...

A parallel system of n identical components is subjected to shocks which occur randomly according to a nonhomogeneous Poisson process with intensity function λ(t). Failures of components are due to shocks and are classified into single and multiple failures according to the effect of such shock. Any shock which leads to single failure is said to ha...

A parallel redundant system, which is composed of n identical components and fails when all components have failed, is subject to independent and common cause shock failures. Independent failures of one component occur at random times, independently of each other. Common cause shocks are classified into two kinds of shocks: lethal and non-lethal. I...

The purpose of this article is to present an improved replacement model for a parallel system of N identical units, by taking common failure and repair and maintenance costs into consideration, and to develop the methods for obtaining the (1) optimal redundant units N∗ for a fixed n, (2) optimal number of repairs n∗ for a fixed N, and (3) optimal p...

Life density functions were often taken to be uni-modal for mathematical simplicity and because failure data are observed in a relatively (or extremely) short period compared with the product true life. In this way, (1) over-estimation of the product mean life (2) improper burn-in action and (3) improper preventive maintenance/replacement policy wi...

This article is to generalize the so-called ‘Inclusion & Exclusion’ and ‘Sum of Mixed Products’ formulas which calculate system reliability from those components subject to self-failures only to be further subject to CCFs (common-cause failures) in the way that both the system and its associated class of CCFs are arbitrary. Such methods assume that...

The purpose of this article is to present an improved replacement model for a parallel system of N identical units, by bringing in common cause failure (CCF), maintenance cost and repair cost per unit time additionally, and to develop a procedure to obtain the optimal redundant units N∗ and optimal number of repairs n∗ with the conditions that the...

An efficient method for calculating system reliability with CCFs (common-cause failures) is presented by applying the factoring (total probability) theorem when the system and its associated class of CCFs are both arbitrary. Existing methods apply this theorem recursively until no CCF remains to be considered, and so can be time-consuming in comput...

In order to establish a feasible and practical reliability model for a system of dependent components, the failure of a component is distinguished artificially into many modes which are grouped into self-failure, common-cause and cascade failures according to the effects to the system so that the failure rate of each mode can be easily estimated.

A simple multistate Markov process models a component and a system of any configuration under several operational conditions. Based on it, a simple tie-set approach calculates availability and frequencies-of-system-failure during different conditions; a cut-set approach calculates probabilities and frequencies of system-failure during various condi...

In order to establish a feasible and useful reliability evaluation model for a network system of dependent components, the failure of a component is distinguished into many states artificially, according to the causes which bring about such a failure and the effects to the system in such a way that the failure rate of each state can be easily estim...

The purpose of this article is to extend the pivotal decomposition method for system availability and failure frequency from the case where components are statistically independent to that where components are also subject to common-cause failures. This method requires as input data the failure rate and the mean repair time of each component, the o...

As different MC's or MP's (minimal cuts or paths) may have common components, we cannot apply the product rule to evaluate the system reliability through the RBD (reliability block diagram) of MC's. However, for a non-oriented network, the series of MC's up to order 2 can be transformed into the series of independent parallel-series, i.e. having no...

FMEA is a system engineering and analysis technique in an organized, illustrative approach to identify the trouble areas of a system. From the management point of view, FMEA should be able to be prepared from the beginning of the system development. For a small and simple system, such an FMEA is no problem. For a large and complex system, one has t...

This paper presents a conditional probability method to evaluate the reliability or availability of a system whose components failures can be s-independent or have a common-cause. Different failure types can be in each cut-set. By applying pivotal decomposition, the chain rule of conditional probability, and the recursive rule of probability of a u...

Without Abstract

Without Abstract

Let Sbe a topological Hausdorff semigroup and s ∈ S b e a strongly root compact element. Then there are an algebraic morphism f: Q+ ⋃ (0) → S with f(0) = e, f(1) = s, and a oneparameter semigroup ø:H → S which satisfy the following properties: If then K is a compact connected abelian subgroup of H(e), ø(0) = e, ø(H) is in the centralizer Z = (x ∈ e...

The totality M(eSe/H) of bounded regular Borel measures on the orbit space eSe/H, where S is a locally compact semigroup and H is a compact subgroup with the identity e, forms a Banach space; however, its closed subspace MH(ESe/H) of H–invariant measures forms even a Banach algebra under a suitable convolution. Furthermore, if w is an idempotent pr...

Throughout this paper, we maintain that G is a connected solvable Lie group, LG its Lie algebra over the field 1R of real numbers and P(G) the topological (Hausdorff) semigroup of probability measures on G under the convolution * and the weak topology (cf. [4]). An infinitely divisible probability measure # on G is called embedded if there is a one...

otions vanishing at ~ and functions with compact supports respectively. Note that C (S) is the completion of K(S) o under the norm llfll = sup{If(x) I : x e S}. Let M(S) be the norm dual of Co(S) , M+(S) = {~: ~ ~ 0} and P(S) = {~: ~ a 0, It,ll = ~(i) = i}; then, in the norm topology, the convolution * defined via ~,v(f) = ff(xy)~(dx)v(dy) for f E...

We generalize Pym’s decomposition w = μE*wH * μF of idempotent probability measures to the decomposition μE * H (wH) * μF of the maximal groups of units in semigroup of probability measures on a compact semitopological semigroup. We also prove that H(w) ≅ H(wH) ≅ N(H).(H) algebraically and topologically. With these characterizations, we verify Rose...

The objectives of the study were to monitor variation in physiological parameters before and after a 120-min indoor simulated driving task and to investigate the effect of 15- min exercise break taken at mid-term of driving. Blood pressures, heartbeat, heart rate variability (HRV), and temperature of both palms were measured using a new wrist monit...

This paper presents both numerical simulation and closed form methods to calculate performance measures in production line, such as expected the transient throughput, and the probability that measures the delivery in time, for an unreliable work center without intermediate buffers. Such approaches are based on the assumptions that (1) work center a...

The paper is to present a simulation method to search for an optimal (z, Z) (z < Z) values for the (z, Z) production control policy so that the expected inventory cost rate (i.e. expected total cost due to both inventory holding and backlog per unit time) is minimal for a single machine system with buffer. The system is subject to operation- depend...

The purpose of this article is to propose a both state and time dependent preventive maintenance policy for a deteriorating system. Using health index integrating the parameters inspected by sensors can generate the real-time equipment operating state. In this research, a discrete time Markovian multi-state deteriorating model is adopted to describ...