• Title/Summary/Keyword: Deteriorating time

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AN EOQ MODEL FOR DETERIORATING INVENTORY WITH ALTERNATING DEMAND RATES

  • A.K. Pal;B. Mabdal
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.457-468
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    • 1997
  • The present paper deals with an economic order quan-tity model for items deteriorating at some constant rate with demand changing at a known and at a random point of time in the fixed pro-duction cycle.

RELTSYS: A computer program for life prediction of deteriorating systems

  • Enright, Michael P.;Frangopol, Dan M.
    • Structural Engineering and Mechanics
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    • v.9 no.6
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    • pp.557-568
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    • 2000
  • As time-variant reliability approaches become increasingly used for service life prediction of the aging infrastructure, the demand for computer solution methods continues to increase. Effcient computer techniques have become well established for the reliability analysis of structural systems. Thus far, however, this is largely limited to time-invariant reliability problems. Therefore, the requirements for time-variant reliability prediction of deteriorating structural systems under time-variant loads have remained incomplete. This study presents a computer program for $\underline{REL}$iability of $\underline{T}$ime-Variant $\underline{SYS}$tems, RELTSYS. This program uses a combined technique of adaptive importance sampling, numerical integration, and fault tree analysis to compute time-variant reliabilities of individual components and systems. Time-invariant quantities are generated using Monte Carlo simulation, whereas time-variant quantities are evaluated using numerical integration. Load distribution and post-failure redistribution are considered using fault tree analysis. The strengths and limitations of RELTSYS are presented via a numerical example.

A Random Shock Model for a Linearly Deteriorating System

  • Lee, Ji-Yeon;Lee, Eui-Young
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.471-479
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    • 1995
  • A random shock model for a linearly deteriorating system is introduced. The system deteriorating linearly with time is subject to random shocks which arrive according to a Poisson process and decrease the state of the system by a random amount. The system is repaired by a repairmen arriving according to another Poisson process if the state when he arrives is below a threshold. Explicit expressions are deduced for the characteristic function of the distribution function of X(t), the state of the system at time t, and for the distribution function of X(t) if X(t) is over the threshold. The stationary case is briefly discussed.

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AN EOQ MODEL FOR DETERIORATING ITEMS IN A DECLINING MARKET WITH SFI POLICY

  • Jalan, A.K.;Chaudhuri, K.S.
    • Journal of applied mathematics & informatics
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    • v.6 no.2
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    • pp.539-552
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    • 1999
  • An order-level inventory model for a perishable product with a time-dependent demand is developed for a fixed planning pe-riod allowing backlogging in all cycles within the said period. The market demand is assumed to decrease exponentially as time elapses. The average system cost is derived and its optimization procedure is illustrated with a numerical example. Sensitivity of the optimal so-lution to changes in the values of different parameters of the system is also analysed.

An EOQ Model for Deteriorating Items with Linearly Increasing Demand

  • Kim, Dae-Hong
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.3
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    • pp.117-124
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    • 1994
  • In this paper an inventory model is presented for determining the ordering schedule in which the demand rate is changing linearly with time and the decay is assumed to be a constant rate of the on-hand inventory. An easy to use heuristic is developed to find the times and sizes of replenishments so as to keep the total of ordering, inventory carrying and deteriorating costs as low as possible. Solutions of the model to test problems show that our heuristic model outperforms other existing models in the literature without sacrificing the computational complexity. When there is no deterioration, the model developed is related to the corresponding model of nondeteriorating items.

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Determination of an Optimal Production Run Length in a Deteriorating Production Process with Rework (생산시스템이 불완전하여 재작업이 요구되는 상황에서의 최적 생산시간 결정에 관한 연구)

  • Kim, Chang Hyun
    • Journal of Korean Institute of Industrial Engineers
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    • v.40 no.2
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    • pp.233-239
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    • 2014
  • This paper presents an extended EMQ model which determines an optimal production run length in an deteriorating production process. The production process is subject to a random deterioration from an in-control state to an out-of-control state and thus producing some proportion of defective items. Defective items produced are re-processed in the rework process to convert them into non-defectives. Through the mathematical modeling, an optimal solution minimizing the average cost per unit time as well as minimum average cost are derived. Numerical experiment is carried out to examine the behavior of the proposed model depending on model parameters.

A Stochastic Facility Location Model for Both Ameliorating and Deteriorating Items in Two-Echelon Supply-Chain Management (증식 및 진부화되는 제품을 취급하는 물류시스템의 최적 설비계획모델의 연구)

  • Hwang, Heung-Suk
    • Journal of Korean Institute of Industrial Engineers
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    • v.26 no.4
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    • pp.384-391
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    • 2000
  • Most of the previous works on classical location models are based on the assumption that the value(or utilities) of inventory remains constants over time. In this study a special case of location problem is studied for both ameliorating and deteriorating items in two-echelon supply-chain management such as agricultural and fishery products. The objective of this study is to determine the minimum number of storage facilities among a discrete set of location sites so that the probability for each customer to be covered is not less than a critical value. We have formulated this problem using stochastic set-covering problem which can be solved by 0-1 programming method. Also we developed a computer program and applied to a set of problems for fish culture storage and distribution centers and the sample results well show the impact of ameliorating and deteriorating rate on the location problem. For the further study, a graphical user-interface with visualization for input and output is needed to be developed.

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Periodic Review Inventory Model for Deteriorating Items with Partial Returns and Additional Orders

  • Choi, Young-Jin;Kim, Man-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.14 no.2
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    • pp.11-23
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    • 1988
  • A periodic review inventory model for deteriorating items in which time is treated as a discrete variable is developed. The model is developed under deterministic but time dependent demands and instantaneous delivery. Deterioration is assumed to be a constant fraction of the on hand inventory and partial returns are allowed for the deteriorated items. The solution procedures for obtaining the optimal order quantities which maximize the total profit in the scheduling period are presented for the cases of back orders and lost sales. Finally, when the additional orders are allowed, an efficient solution algorithm determining the initial and additional order quantities and additional ordering time is developed. Some numerical examples are also presented to illustrate the results.

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A Condition Based Maintenance Model for Systems with Weibull Distributed Deterioration (와이블 분포로 열화하는 시스템의 상태에 기초한 정비모형)

  • Kong, Myung Bock;Park, Il Gwang
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.1
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    • pp.70-75
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    • 2007
  • This paper discusses condition based preventive replacement for deteriorating systems. The system continuouslydeteriorates in time and fails at any deterioration level which is always monitored, It is replaced at failure or atsome deteriorated level preventively before failure. The deterioration process is represented by a Weibulldistribution with a time-linear scale parameter. The cost rate function is formed considering replacement costand opportunity loss cost and deterioration dependent failure distribution, If the system has an increasingdeterioration dependent failure rate, the optimal deterioration level for preventive replacement can be determinedfrom minimizing the cost rate. An illustrative example is given for a Weibull deterioration dependent failuredistribution.

Analysis for the Thermal Properties of the Electrical Wire according to Overload and Disconnection (과부하 및 물리적 손상(반단선)에 의한 전선의 열적특성 해석)

  • Kim, Sung-Chul;Kim, Doo-Hyun
    • Journal of the Korean Society of Safety
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    • v.22 no.4
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    • pp.26-31
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    • 2007
  • According to the statistical analysis on the electrical fire of 2005 years, most of electrical fire is generated from short circuit(4,985 cases), overcurrent(755 cases) leakage current(391 cases), poor contact(378 cases), disconnection(36 cases) on the electrical wiring device. The researches for the fire hazard about normal electric wiring have already been progressing in the advanced country such as USA and Japan, but Comparative study of the disconnection has not been conducted. Therefore, in this paper, we have simulated the thermal analysis for electrical wire according to deteriorating time in a normal state and disconnection with electrical wire using the electrical-thermal finite element method(Flux 3D). This paper acquire basis data of electricity fire signal by disconnection and wish to help for electrical fire cause diagnosis business.