• Title/Summary/Keyword: Batch variation

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Customer Order Scheduling Problems on Parallel Machines with Job Capacity Restriction

  • Yang, Jaehwan
    • Management Science and Financial Engineering
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    • v.9 no.2
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    • pp.47-68
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    • 2003
  • We consider the customer order scheduling problem with job capacity restriction where the number of jobs in the shop at the same time is fixed. In the customer order scheduling problem, each job is part of some batch (customer order) and the composition of the jobs (product) in the batch is pre-specified. The objective function is associated with the completion time of the batches instead of the completion time of the jobs. We first summarize the known results for the general customer order scheduling problems. Then, we establish some new properties for the problems with job capacity restriction. For the case of unit processing time with the objective of minimizing makespan, we develop a polynomial-time optimal procedure for the two machine case. For the same problem with a variation of no batch alternation, we also develop a polynomial-time optimal procedure. Then, we show that the problems with the objectives of minimizing makespan and minimizing average batch completion time become NP-hard when there exist arbitrary number of machines. Finally, We propose optimal solution procedures for some special cases.

Experimental Study for Thermal Performance of Batch Type Passive Solar Hot Water System (BATCH형 자연형 태양열 온수급탕 시스템의 열적 성능에 관한 실험적 연구)

  • Kang, Y.H.;Cho, Y.S.;Yoon, H.K.;Auh, P.Chung-Moo
    • Solar Energy
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    • v.7 no.1
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    • pp.3-13
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    • 1987
  • A batch type passive solar water systems, which perform the dual function of absorbing the solar energy and storing the heated water, have been designed and fabricated for the purpose of side-by-side testing at KIER. The test models included an A, B and C type batch systems which were classified according to the design of box and arrangement of tanks. The year-round performance tests show that B type batch system taken the step-wise tank arrangement indicates 55.7% yearly-average collection efficiency factor and 61% yearly-average maximum collection efficiency factor. Computer-aided-experimental results show that the sufficient hot water can be obtained in the early morning if the glazing is supplemented by a reflector/insulation cover. The thermal performance equation has been developed for the prediction of hourly variation of the water temperature in tank.

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A study on coil temperature bariation in 75% hydrogen batch annealing furnace (75% 수소 BATCH 소둔시에서의 코일 온도변화에 관한 연구)

  • Jeon, Eon-Chan;Kim, Soon-Kyung
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.2
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    • pp.173-181
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    • 1994
  • A Cold spot temperature control system for the batch annealing furnace has been estabilished in order to reduce energy consumption to improve productivity and stabilize the propertics of products. Therefore we confirmed a relation between annealing cycle time and atmospheric gas, variation of coil cold spot temperature with time during heating and actual temperature measurements at mid-width of each coil during heating and actual temperature measurements at mid-width of each coil during soaking. The results of the tempaeature variation effect on the batch annealing are as follows. 1) Heating time is reduced to one half with increasing atmospheric gas flow rate and changing of atmospheric gas component from HNx to Ax gas, and annealing cycle time is reduced to 2.7 times. 2) In case of short time healing, the slowest heating part is the center of B coil, in case of long time heating, the low temperature point moves from the center of coil to inside coil. And the temperature in this part is higher than other parts when cooling. When finished heating, the cold spot is located 1/3 of coil inside in case of HNx atmospheric gas. But center of coil in case of Ax atmospheric gas. 3) The outside of top coil is the highest temperature point when heating, which becomes the lowest temperature point when cooling. So, this point becomes high temperature zone at heating and low temperature zone at cooling, It has relation according to atmospheric gas component and flow rate. 4) Soaking time at batch annealing cycle determination is made a decision by the input coil width, and soaking time for quality homogenization of 1214mm width coil must be 2.5 hours longer than that of 914mm width coil for the same ciol weight. 5) Annealing cycle time with Ax atmospheric gas is extended 1 hour in of slow cooling during 5 hours in order to avoid rapid cooling.

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Variation of Phosphorus and Nitrogen Removal Characteristics According to the Decrease of Influent Phosphorus Concentration in SBR and SBBR (SBR과 SBBR에서 유입 인 농도 감소에 따른 인과 질소의 제거 특성 변화)

  • Kim, Dong-Seog;Park, Young-Seek
    • Journal of Environmental Science International
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    • v.19 no.4
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    • pp.483-490
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    • 2010
  • The purpose of this study is to investigate the effect of influent phosphorus concentration on the nitrogen and phosphorus removal in sequencing batch reactor(SBR) and sequencing batch biofilm reactors(SBBRs) in order to recover the enhanced biological phosphorus removal (EBPR) capacity at the sludge of the deterioration of EBPR capacity. In SBBRs, comparing to SBR, the organic removal was occurred actively at the 1 st non-aeration period because of the active phosphorus release at this period. However, the variation of TOC removal according to the decrease of influent phosphorus concentration was not clearly shown both in SBR and SBBRs. In case of SBR losing EBPR capacity, the EBPR capacity was not recovered by the decrease of the influent phosphorus concentration from 7.5 mg/L to 0.9 mg/L. The nitrogen removal increased by the decrease of influent phosphorus concentration both in SBR and SBBRs.

A Study on Temperature Variation of Coil on BAF Annealing in HNx Atmospheric Gas (HNx 분위기가스중에서 BAF소둔시 코일의 온도변화에 관한 연구)

  • 전언찬;김순경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1227-1234
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    • 1994
  • A cold spot temperature control system for the batch annealing furnace has been established in order to reduce energy consumption which is essential to improve productivity and stabilize the properties of products. A relationship between annealing cycle time and gas flow rate is developed and also for the variation of coil cold spot temperature with time during heating, and actual temperature measurements at mid-width of each coil during soaking. The results of the temperature variation effect on the cold rolled steel sheet batch annealing are as follows. (1) Cooling rate increasing gradually with increasing atmospheric gas flow, but heating rate is hardly increasing without atmospheric gas component change. (2) In case of short time heating, the slowest heating part is the center of B coil and in case of ling time heating, the low temperature point moves from the center of coil to inside coil. (3) The outside of top coil is the highest temperature point under heating, which becomes the lowest temperature point under cooling. (4) Soaking time determination depends on the input coil width, and soaking time for quality homogenization of 1214 mm width coil must be 2 hours longer than that of 914 mm width coil.

NIR as a tool for optimizing sampling time and studying batch dynamics.

  • Zeppelin, Joanna
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1126-1126
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    • 2001
  • The paper presented here is the initial part of a larger study, in which it was determined which quality parameters in cheese powder could already be predicted by NIR at an early stage in the process and which could only be predicted at the final stages of the process. This initial study was performed in order to establish the levels and nature of variation within and between batches such that the subsequent data collection could be tackled optimally. The perspectives evolved into more than was originally planned and revealed some interesting uses of NIR-technology. Cheese powder production starts as a batch process, where waste cheese from other dairies is melted down in a vat. The process then turns into a continual process as the vat is emptied and the melted cheese is then filtered, homogenized, pasteurized and finally spray dried. Between each batch the powder is to a greater or lesser degree a mixture of 2 batches. This paper is divided into 2 aspects, one regarding the optimization of sampling time and the other is a study of process dynamics. Optimizing sampling time This initial study included 9 powder samples from 9 different batches produced during one day. The raw materials for the batches were chosen with the aim of creating a relatively high level of variation in the data. The total of 81 samples were taken out at regular intervals and spectra were collected on a NIR-systems 6500 instrument. The subsequent reduction of the data by PCA to score values shows the power of NIR as a tool to determine not only when samples are representative of a certain batch, but also which batches are stable enough to include in a further study. Studying process dynamics To take this experiment a step further 1 of the 81 samples were sent to the laboratory for further analyses. The samples were chosen on the criteria that they covered the spectral variation in the dataset. These samples were analysed for 4 chemical components and 5 physical attributes, which are essential for describing the quality of the product. The latent structure of the 7 samples, using the chemical and physical variables, is totally comparable to the latent structure of the NIR spectra. This outcome makes it possible to describe the dynamics of one day's production both chemically and physically with relatively little resources. Additionally it raises the question as to whether reference values are needed, as the latent structure of the NIR-spectra appears to be sufficient in providing information on the quality of the product. To be able to use NIR in this way would require defining quality limits in the principal component space as opposed to each of the reference values. The potential of NIR applied in an explorative fashion with batch processes opens a whole new gateway for the use of this technology. This study explains yet again after so many years in the field “why I'm crazy about NIR!”.

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Ammonia Production from Yeast Extract and Its Effect on Growth of the Hyperthermophilic Archaeon Sulfolobus solfataricus

  • Park, Chan-Beum;Lee, Sun-Bok
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.3 no.2
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    • pp.115-118
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    • 1998
  • Utilization of yeast extract and formation of byproduct metabolite were investigated for hyperthermophilic archaeon Sulfolobus solfataricus (DSH 1617). In both batch and fed-batch cultivations of S. solfataricus, maximal cell density, {{{{ { NH}`_{4 } ^{ +} }}} ion production and pH change were highly dependent on the ratio of yeast extract to glucose in the medium. Variation of {{{{ { NH}`_{4 } ^{ +} }}}} ion level was identified as a major cause of pH change during cultivation, and acidification of culture broth was attributed to consumption of {{{{ { NH}`_{4 } ^{ +} }}}} ions rather than formation of acid byproducts. It was also observed that increase of {{{{ { NH}`_{4 } ^{ +} }}}} ion concentrations in the medium resulted in greater degree of growth inhibition.

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BAF 소둔의 저온점 변화에 관한 연구

  • 김순경;이승수;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.327-331
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    • 1997
  • As demand for various kinds and small lot products has been increasing, batch annealing has been appreciated for its small restiction for the opteration. The cold spot of the coil is very important in the BAF(Batch annealing furnace) annealing process. Because of the annealing cycle time in the BAF, annealing was decided on the cold spot of the coil. So, we tested the effect,variation of cold spot, for hydrogen contents of atmospheric gas at the annealing furnace. As a result of several investigations. We confirmed the following characteristics ; after the heating and soaking,the cold spot of coil moved to 1/3 of coil thickness in the NHx atmospheric gas, but the mid point of the coil thickness is the cold spot in the Ax or .H/sub2. atmospheric gas. Therefore, the use of hydrogen instead of nitrogen as the protective gas,combined with high convection in batch annealing furnaces, has shown that considerable increases in furnace output and material quality are attainable. Owing to the low density, high diffusion and reducing character of hydrogen, a better transfer resulting in uniform material temperatures and improved coil surfaces can be achieved.

Statistical Inference of Shelf -life in Drug's Stability Study (의약품 안정성 연구에서의 사용기간에 관한 통계적 추론)

  • Kim, Tai-Kyoo;Park, Sang-Gue
    • Journal of Korean Society for Quality Management
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    • v.36 no.1
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    • pp.1-6
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    • 2008
  • The purpose of stability study of pharmaceutical products is to establish the shelf life based on the change of the quality with time. Stability study generally consists of a random sample of dosage units from a batch or several batches placed in a storage room and periodically assayed for their drug content. The statistical methods of assessing the shelf-life of drug in the market is considered with the current KFDA regulations. An illustrated application to some stability data from the pharmaceutical industry is also presented with the discussion.

A Study on the Compressive Strength & Pore Structure of Shotcrete using for Mine Ready-mixed Materials (광산용 레디믹스트 재료를 사용한 숏크리트의 압축강도 및 공극구조에 대한 고찰)

  • Lee, Heung-Soo;Kim, Dong-Min;Choi, Seung-Kyung;Lee, Ju-Hoe
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.1517-1521
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    • 2009
  • A variation of pore structure of shotcrete matrix was experimented by Mercury Intrusion Porosimetry, and the relation with compressive strength was also examined. As a result of the Mercury Intrusion Porosimetry(MIP) test, RM-P1 Batch the macropore diameter of the RM-BFS2 and RM-BFS3 Batch than to have a relatively macropore can see a lot of long-term durability performance degradation. Also, K and N Batch the current is applied to the mine if the factors on shotcrete durability performance of the macropore volume of the entire appears to be a long-term durability performance in the fall.

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