• Title/Summary/Keyword: Fill Rate

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Two-stage Serial Supply Chains under Fill Rate Constraints (2단계 시리얼 시스템의 Fill Rate 만족 방안)

  • Kwon Ick-Hyun;Kim Sung-Shick
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.1
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    • pp.105-115
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    • 2006
  • In this paper, we investigate the problem of minimizing average inventory costs subject to a fill rate constraint in a two-stage serial inventory model with a normally distributed demand. Fill rate is the fraction of demand that is satisfied immediately from on-hand inventory. We first find the lower bounds of base-stock levels in each node by using the exact base-stock level that satisfies a fill rate in a single node model proposed by Sobel. And then, we extensively analyze the system and show that the cost function is convex. Using such convexity and some other useful properties, we can easily find optimal base-stock levels numerically.

Approximate Approach to Calculating the Order Fill Rate under Purchase Dependence (구매종속성이 존재하는 상황에서 주문충족율을 계산하는 근사법에 관한 연구)

  • Park, Changkyu;Seo, Junyong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.41 no.2
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    • pp.35-51
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    • 2016
  • This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase patterns observed in such areas as marketing, manufacturing systems, and distribution systems. The new approximate approach divides customer orders into item orders and calculates fill rates of all order types to approximate the order fill rate. We develop a greed iterative search algorithm (GISA) based on the Gauss-Seidel method to avoid dimensionality and prevent the solution divergence for larger instances. Through the computational analysis that compares the GISA with the simulation, we demonstrate that the GISA is a dependable algorithm for deriving the stationary joint distribution of on-hand inventories in the type-K pure system. We also present some managerial insights.

Approximate Calculation of Order Fill Rate under Purchase Dependence (구매종속성을 고려한 주문충족률의 근사적 계산)

  • Park, Changkyu
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.4
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    • pp.137-146
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    • 2017
  • For the competitive business environment under purchase dependence, this paper proposes a new approximate calculation of order fill rate which is a probability of satisfying a customer order immediately using the existing inventory. Purchase dependence is different to demand dependence. Purchase dependence treats the purchase behavior of customers, while demand dependence considers demand correlation between items, between regions, or over time. Purchase dependence can be observed in such areas as marketing, manufacturing systems, and distribution systems. Traditional computational methods have a difficulty of the curse of dimensionality for the large cases, when deriving the stationary joint distribution which is utilized to calculate the order fill rate. In order to escape the curse of dimensionality and protect the solution from diverging for the large cases, we develop a greedy iterative search algorithm based on the Gauss-Seidel method. We show that the greedy iterative search algorithm is a dependable algorithm to derive the stationary joint distribution of on-hand inventories in the retailer system by conducting a comparison analysis of a greedy iterative search algorithm with the simulation. In addition, we present some managerial insights such as : (1) The upper bound of order fill rate can be calculated by the one-item pure system, while the lower bound can be provided by the pure system that consists of all items; (2) As the degree of purchase dependence declines while other conditions remain same, it is observed that the difference between the lower and upper bounds reduces, the order fill rate increases, and the order fill rate gets closer to the upper bound.

Seepage Characteristics of Embankment as with/without Gravel Layer under the Earth Fill (성토층 하부의 자갈층 유·무에 따른 침투특성 변화)

  • Lee Haeng Woo;Chang Pyoung Wuck;Chang Woong Hee;Kim See-Woon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.47 no.4
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    • pp.53-61
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    • 2005
  • A series of laboratory tests was carried out fur analyzing of seepage characteristics of two-layers embankment model which consists of gravel and earth fill layers. Gravel layers were built under the earth fill for a half and one-third width of earth fill of the model. Permeability of earth fill was ranged between $5.00\times10^{-5}\~3.00\times10^{-4}\;m/s$.. The tests were performed with hydraulic gradients(i), $0.10\~0.55$. From the test results, hydraulic head of earth fill with gravel layer was 1.6 times higher than that of earth fill without gravel layer. Seepage rate was increased up to $4\~22$ times and safety factor for piping was decreased to $13\~43\;\%$ comparing the earth fill with gravel layer to that without gravel layer. The gravel layer under the earth fill could, in general, give some serious seepage problems to seadike embankment.

Investigation of the Optimum Mixture of Flowable-Fill Applied Bottom-ash (Bottom-ash를 적용한 고유동충전재의 최적배합검토)

  • 김성수;원종필;김동현;김종필;이용수
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.369-372
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    • 2000
  • This investigation aims at the optimum mixing of flexible flowable-fill made of Bottom-ash as an industrial waste. Flowable-fill refer to self-compacted, cementitious material used primarily as a backfill in lieu of compacted fill. The two primary advantages of flowable fill over traditional methods are its ease of placement and the elimination of settlement. Therefore, in difficult compaction areas or areas where settlement is a concern, flowable fill should be considered. This study compares Bottom-ash with fine aggregate in physical character. The mixing design indicates a various mixing-rate.

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Dynamic PIV analysis of High-Speed Flow from Vent Holes of Fill-Hose in Curtain type Airbag (Dynamic PIV 기법을 이용한 커튼에어백 Vent Hole 고속유동 해석)

  • Jang, Young-Gil;Choi, Yong-Seok;Lee, Sang-Joon
    • 한국가시화정보학회:학술대회논문집
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    • 2006.12a
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    • pp.17-20
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    • 2006
  • Passenger safety is fundamental factor in automobile. Among much equipment for passenger safety, the air bag system is the most fundamental and effective device. Beside of the front air bag system which installed on most of all automobiles, a curtain-type air bag is increasingly adapted in deluxe cars fur protecting passengers from the danger of side clash. Curtain type airbag system consists of inflator housing, fill hose, curtain airbag. Inflator housing is a main part of the curtain-type air bag system for supplying high-pressure gases to deploy the air bag-curtain. Fill hose is a passageway to carry the gases from inflator housing to each part of curtain airbag. Therefore, it is very important to design the vent holes of fill hose for good performance of airbag deployment. But, the flow information from vent holes of fill hose is very limited. In this study, we measured instantaneous velocity fields of a high-speed flow ejecting from the vent holes of fill hose using a dynamic PIV system. From the velocity Held data measured at a high frame-rate, we evaluated the variation of the mass flow rate with time. From the instantaneous velocity fields of flow ejecting from the vent holes in the initial stage, we can see a flow pattern of wavy motion and fluctuation. The flow ejecting from the vent holes was found to have very high velocity fluctuations and the maximum velocity was about 480m/s at 4-vent hole region. From the mass flow rate with time, the accumulated flow of 4-vent hole has occupied about 70% of total flow rate.

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Distribution Planning for a Two-Echelon Distribution System under Fill Rate Constraints (Fill Rate 제약이 존재하는 2단계 분배형 시스템에서의 분배 계획)

  • Kwon, Ick-Hyun;Kim, Sung-Shick;Kim, Chang-Ouk
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.4
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    • pp.125-138
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    • 2006
  • This paper considers a periodic review, two-echelon inventory system with one central warehouse and several re-tailers facing normally distributed demand. The goal is to attain target fill rates, while the systemwide total holding costs are minimized. An important aspect of this problem is material rationing in the case of shortages. If a central warehouse has insufficient inventory to deliver all replenishment orders to retailers, all order quantities are should be adjusted according to some rationing rule. A simple but efficient rationing rule is proposed and compared with the Balanced Stock (BS) rationing as introduced by Heijden which is known to be the best rationing policy in the literature. Numerical results show that the proposed rationing rule is more cost effective than BS rationing, especially for the differences in holding costs between retailers are large.

Operational Strategy for Increasing Ethanol Production in Repeated Fed-batch Ethanol Fermentation Using Saccharomyces cerevisiae (Saccharomyces cerevisiae 를 이용한 반복 유가식 ethanol 발효에서 ethanol 생산량을 증가를 위한 운전 전략)

  • Lee, Sang-Eun;Seo, Hyeon-Beom;Kwon, Min-Cheol;Lee, Hyeon-Yong;Jung, Kyung-Hwan
    • KSBB Journal
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    • v.25 no.2
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    • pp.187-192
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    • 2010
  • We designed the optimal operational strategy in repeated fed-batch ethanol fermentation using Sacchromyces cerevisiae ATCC 24858 in views of ethanol yield, specific ethanol production rate, and ethanol productivity, when the aeration rate were controlled at 0.0 and 0.33 vvm. Coincidentally, the time intervals of withdrawal-fill of culture medium (24 and 36 h) were investigated. Ethanol yield and ethanol productivity when the aeration was carried out at 0.33 vvm were superior to those when the aeration was not carried out. Additionally, those parameters when the time interval of withdrawal-fill of culture medium was 24 h were superior to those when time interval of withdrawal-fill of culture medium was 36 h. The total ethanol production reached at the greatest value, 703.8 g-ethanol, when the aeration was carried out at 0.33 vvm and the time interval of withdrawal-fill of culture medium was 24 h. In this study, we verified experimentally the necessity of designing the operational strategy for increasing ethanol production in terms of aeration rate and time interval of withdrawal-fill of culture medium in the repeated fed-batch ethanol fermentation.

Performance of Advanced Sewage Treatment Process with Waste Oyster Shell Media in Rural Area (폐굴껍질 담체를 이용한 마을하수고도처리공정의 성능평가)

  • Lim, Bong-Su;Yang, Yan-Hao
    • Journal of Korean Society on Water Environment
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    • v.22 no.1
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    • pp.30-36
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    • 2006
  • This study was carried out to evaluate the performance of Modified Ludzsck Etinger (MLE) process with waste oyster shell media in aerobic tank. Influent flow was 36 L/d and the order of reactor was anoxic, aerobic and sedimentation tank and unit hydraulic retention time was 2 hr, 6 hr and 4 hr, respectively. Sludge recycling rate in sedimentation tank and internal recycling rate were 100%. Media fill rate in aerobic tank was 5%, 10% and 17% and fluid MLSS concentration in aerobic tank was 3000~4000 mg/L. Average TCOD removal rate was 91~93%, TBOD 92~96%, SS 95~96% and when media fill rate was 10% or more, in organic compound removal it could satisfy with wastewater discharge standard. Average total nitrogen removal rate was 70~76% and average total phosphorous removal rate was 58~65%. With media fill rate increasing, total phosphorous average removal rate also increased. For it was that released calcium ion from waste oyster shell reacted with soluble phosphorous. From these experiment results, the MLE process using waste oyster shell as media is a practical method for advanced sewage treatment in rural area.

The Effect of the Fill Charge Ratio on the Heat Transfer Characteristics of a Two-Phase Closed Thermosyphon (충전율의 변화가 밀폐형 2-상 열사이폰의 열전달 특성에 미치는 영향에 관한 연구)

  • Park, Yong-Joo;Hong, Sung-Eun;Kim, Chul-Ju
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.12
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    • pp.1646-1654
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    • 2002
  • A two-phase closed thermosyphon was one of the most effective devices in the removing heat because of its simple structure, thermal diode characteristics, wide operating temperature range and so on. In this study, a two-phase closed thermosyphon(working fluid PFC(C6F14), container copper(inner grooved surface)) was fabricated with a reservoir which can change the fill charge ratio. The experiments were performed in the range of 50~600W heat flow rate and 10~70% fill charge ratio. The results were compared with some correlations that were presented by Rohsenow and Immura et al. in the evaporator, by Nusselt, Gross and Uehara et al. in the condenser and by Cohen and Bayley, Wallis, Kutateladze and Faghri et al. in heat transfer limitation etc.. The heat transfer coefficient at the evaporator increased with the input power. However the effect of the fill charge ratio was nearly negligible. At the condenser, it showed an opposite trend to the evaporator and with increase of the fill charge ratio, showed some enhancement of heat transfer. The heat transport limitation was occurred by the dry-out limitation for small fill charge ratio(10%) and presented about 100W. For the case of large fill charge ratio(Ψ$\geq$40%), it was occurred by the flooding limitation at about 500W.