• Title/Summary/Keyword: Optimal operating policy

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Control of G/MX/1 Queueing System with N-Policy and Customer Impatience

  • Lim, Si-Yeong;Hur, Sun
    • Industrial Engineering and Management Systems
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    • v.15 no.2
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    • pp.123-130
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    • 2016
  • We introduce a queueing system with general arrival stream and exponential service time under the N-policy, where customers may renege during idle period and arrival rates may vary according to the server's status. Probability distributions of the lengths of idle period and busy period are derived using absorbing Markov chain approach and a method to obtain the optimal control policy that minimizes long-run expected operating cost per unit time is provided. Numerical analysis is done to illustrate and characterize the method.

A Spare Ordering Policy with Random Lead Times (조달기간이 확률적인 경우의 예비품 주문정책)

  • Yoon, S.P.;Cho, T.C.
    • Journal of Korean Society for Quality Management
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    • v.35 no.1
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    • pp.20-23
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    • 2007
  • A generalized spare ordering policy is treated in this paper. If the operating unit fails before a scheduled ordering time an expedited order is placed at the failure time instant, otherwise a regular order for a spare is placed at the scheduled time. The original unit is replaced when the ordered spare is delivered. The lifetime, regular and expedited lead times have general distributions. The problem is to find the optimum ordering time which minimizes the expected cost rate including the observation, ordering, uptime and down-time costs. Some properties regarding the optimal policy are derived. To explain the spare ordering policy a numerical example is also included.

An Optimal Operating Policy for Two-stage Flow Lines with Machine Failures

  • Koh, Shie-Gheun;Hwang, Hark
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.2
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    • pp.17-33
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    • 1996
  • Automatic transfer defined as an integrated system with a number of workstations, interstation storage buffers, automatic device and a control system, play a major role in ass production systems. Due to high capital investment needed for an automatic transferline, greater care should be taken in its design so as to maximize the system performance. One may to control the system performance is to control buffer storage. To control the interstation work-in-process inventory, we propose dual limit switches which control the buffer storage with two parameters, R and r. Under the policy, proceding station is forced down when the inventory level in the buffer reaches R until the level falls to r. For the model developed, we analyze the system characteristics and find the optimal control parameters with a serach procedure.

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An Optimal Block Replacement Policy Using Items with Different Reliability

  • Lie, Chang-Hoon;Bae, Moon-Sik;Chun, Young-Ho
    • Journal of the military operations research society of Korea
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    • v.10 no.2
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    • pp.61-73
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    • 1984
  • A block replacement policy using items with different reliability is discussed. We divide system unit failure modes into two modes and use less reliable unit when operating unit fails near the planned preventive replacement time. In this policy, item A has two failure modes. Mode-1 failure is removed by minimal repair, mode-2 failure by replacement. If mode-2 failure of item A happens in (0, $T-{\delta}$), failure item A is replaced by new item A. If mode-2 failure of item A happens in ($T-{\delta}$, T), failure item A is replaced by new item B. Item B should be cheaper and less durable than item A. Under this policy, we determine the preventive replacement interval $T^{*}$ and the interval ${\delta}^{*}$ of item B replacement which minimize the cost rate per unit time.

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Condition based age replacement policy of used item

  • Lim, J.H.;Lipi, T.F.;Zuo, M.J.
    • International Journal of Reliability and Applications
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    • v.12 no.2
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    • pp.131-143
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    • 2011
  • In most of literatures of age replacement policy, the authors consider the case that a new item starts operating at time zero and is to be replaced by new one at time T. It is, however, often to purchase used items because of the limited budget. In this paper, we consider age replacement policy of a used item whose age is $t_0$. The mathematical formulas of the expected cost rate per unit time are derived for both infinite-horizon case and finite-horizon case. For each case, we show that the optimal replacement age exists and is finite and investigate the effect of the age of the used item.

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A Note on Age Replacement Policy of Used Item at Age $t_0$

  • Lim, J.H.
    • International Journal of Reliability and Applications
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    • v.10 no.1
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    • pp.33-42
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    • 2009
  • In most of literatures of age replacement policy, the authors consider the case that a new item starts operating at time zero and is to be replaced by new one at time T. It is, however, often to purchase used items because of the limited budget. In this paper, we consider age replacement policy of a used item whose age is $t_0$. The mathematical formulas of the expected cost rate per unit time are derived for both infinite-horizon case and finite-horizon case. For each case, we show that the optimal replacement age exists and is finite and investigate the effect of the age of the used item.

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Operating Room Reservation Problem Considering Patient Priority : Modified Value Iteration Method with Binary Search (환자 우선순위를 고려한 수술실 예약 : 이진검색을 활용한 수정 평가치반복법)

  • Min, Dai-Ki
    • IE interfaces
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    • v.24 no.4
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    • pp.274-280
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    • 2011
  • Delayed access to surgery may lead to deterioration in the patient condition, poor clinical outcomes, increase in the probability of emergency admission, or even death. The purpose of this work is to decide the number of patients selected from a waiting list and to schedule them in accordance with the operating room capacity in the next period. We formulate the problem as an infinite horizon Markov Decision Process (MDP), which attempts to strike a balance between the patient waiting times and overtime works. Structural properties of the proposed model are investigated to facilitate the solution procedure. The proposed procedure modifies the conventional value iteration method along with the binary search technique. An example of the optimal policy is provided, and computational results are given to show that the proposed procedure improves computational efficiency.

(s, S) Spare Part Inventory System

  • Park, Young-Taek
    • Journal of Korean Society for Quality Management
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    • v.14 no.2
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    • pp.21-27
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    • 1986
  • This paper deals with a continuous review (s,S) spare part inventory system. The distributions of service life of each part and the replenishment lead time are assumed to be exponential. Assuming that there is never more than a single order outstanding, we obtain the average annual cost of operating the inventory system. If the length of stockout period is small enough to be neglected compared to the length of operating period, the optimal operating policy variables minimizing the cost rate can be calculated iteratively. For the case of one-for-one ordering (that is, s=S-1), an exact cost rate, and a closed form decision rule minimizing the cost rate are obtained for a more general situation in which more than one order is allowed to be outstanding and the distribution of the replenishment lead time is general.

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A Study on Developing & Operating Concept of Reliability Analysis & Evaluation System for Aircraft Parts (항공기 부품 신뢰도 분석평가체계 개발 및 운영개념 연구)

  • Son, Seok-Hee;Ko, Seung-Chul
    • Journal of the military operations research society of Korea
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    • v.33 no.1
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    • pp.19-29
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    • 2007
  • This study deals with developing and operating Reliability Analysis & Evaluation System for aircraft parts by analyzing ROKAF's AMMIS and phase inspection data for optimal inspection frequency. We suggest operating model with improving and adjusting inspection cycle by analyzing failure time data and tendency of crack with RELEX and Minitab software.

IMPROVING THE ESP ACCURACY WITH COMBINATION OF PROBABILISTIC FORECASTS

  • Yu, Seung-Oh;Kim, Young-Oh
    • Water Engineering Research
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    • v.5 no.2
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    • pp.101-109
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    • 2004
  • Aggregating information by combining forecasts from two or more forecasting methods is an alternative to using forecasts from just a single method to improve forecast accuracy. This paper describes the development and use of a monthly inflow forecast model based on an optimal linear combination (OLC) of forecasts derived from naive, persistence, and Ensemble Streamflow Prediction (ESP) forecasts. Using the cross-validation technique, the OLC model made 1-month ahead probabilistic forecasts for the Chungju multi-purpose dam inflows for 15 years. For most of the verification months, the skill associated with the OLC forecast was superior to those drawn from the individual forecast techniques. Therefore this study demonstrates that OLC can improve the accuracy of the ESP forecast, especially during the dry season. This study also examined the value of the OLC forecasts in reservoir operations. Stochastic Dynamic Programming (SDP) derived the optimal operating policy for the Chungju multi-purpose dam operation and the derived policy was simulated using the 15-year observed inflows. The simulation results showed the SDP model that updated its probability from the new OLC forecast provided more efficient operation decisions than the conventional SDP model.

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