• Title/Summary/Keyword: even number

Search Result 4,036, Processing Time 0.028 seconds

An Alternative Modeling for Lot-sizing and Scheduling Problem with a Decomposition Based Heuristic Algorithm (로트 크기 결정 문제의 새로운 혼합정수계획법 모형 및 휴리스틱 알고리즘 개발)

  • Han, Junghee;Lee, Youngho;Kim, Seong-in;Park, Eunkyung
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.33 no.3
    • /
    • pp.373-380
    • /
    • 2007
  • In this paper, we consider a new lot-sizing and scheduling problem (LSSP) that minimizes the sum of production cost, setup cost and inventory cost. Setup carry-over and overlapping as well as demand splitting are considered. Also, maximum number of setups for each time period is not limited. For this LSSP, we have formulated a mixed integer programming (MIP) model, of which the size does not increase even if we divide a time period into a number of micro time periods. Also, we have developed an efficient heuristic algorithm by combining decomposition scheme with local search procedure. Test results show that the developed heuristic algorithm finds good quality (in practice, even better) feasible solutions using far less computation time compared with the CPLEX, a competitive MIP solver.

Medical Education and Certification of Physicians in North Korea (북한 의사 양성 교육과 자격)

  • Lee, Yoon Seong
    • Korean Medical Education Review
    • /
    • v.18 no.1
    • /
    • pp.16-20
    • /
    • 2016
  • Although the state of medicine in North Korea is of great interest, there is little information, if any, about the present state of medicine in North Korea. Even North Korea's laws and regulations on medicine are not publicly available. It is plausible that the dictator's commands or the policy of the Communist Party may be superior to the nation's constitution and laws on medical education and much more. Information is only available from a limited number of publications and mainly from the statements of refugees, which differ greatly among themselves. No one refugee could provide authoritative data or information because they were never in the position to see the larger picture or have experience over the long term. However, what is known is that the major health professions in North Korea include physicians (medical doctors), stomatologists (oral doctors), 'Koryo' doctors (doctors of Korean traditional medicine), midwives, and nurses. The names and the founding year of each of the regular medical schools are listed along with the change and restoration of names of schools. It is known that there have been quasi-physicians and semi-physicians. However, the reasons for any changes that have taken place also remain unknown. The educational system, curriculum, and even the number of years of training needed to qualify to become a physician have varied from time to time.

Cosmological constraints using BAO - From spectroscopic to photometric catalogues

  • Sridhar, Srivatsan
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.44 no.1
    • /
    • pp.56.2-56.2
    • /
    • 2019
  • Measurement of the location of the baryon acoustic oscillation (BAO) feature in the clustering of galaxies has proven to be a robust and precise method to measure the expansion of the Universe. The best constraints so far have been provided from spectroscopic surveys because the errors on the redshift obtained from spectroscopy are minimal. This in turn means that the errors along the line-of-sight are reduced and so one can expect constraints on both angular diameter distance $D_A$ and expansion rate $H^{-1}$. But, future surveys will probe a larger part of the sky and go to deeper redshifts, which correspond to more number of galaxies. Analysing each galaxy using spectroscopy, which is a time consuming task, will not be practically possible. So, photometry will be the most convenient way to measure redshifts for future surveys such as LSST, Euclid, etc. The advantage of photometry is measuring the redshift of vast number of galaxies in a single exposure, but the disadvantage are the errors associated with the measured redshifts. Using a wedge approach, wherein the clustering is split into different wedges along the line-of-sight ${\pi}$ and across the line-of-sight ${\sigma}$, we show that the BAO information can be recovered even for photometric catalogues with errors along the line-of-sight. This means that we can get cosmological distance constraints even if we don't have spectroscopic information.

  • PDF

PAIR DIFFERENCE CORDIAL LABELING OF PETERSEN GRAPHS P(n, k)

  • R. PONRAJ;A. GAYATHRI;S. SOMASUNDARAM
    • Journal of Applied and Pure Mathematics
    • /
    • v.5 no.1_2
    • /
    • pp.41-53
    • /
    • 2023
  • Let G = (V, E) be a (p, q) graph. Define $${\rho}=\{{\frac{2}{p}},\;{\text{{\qquad} if p is even}}\\{\frac{2}{p-1}},\;{{\text{if p is odd}}$$ and L = {±1, ±2, ±3, … , ±ρ} called the set of labels. Consider a mapping f : V ⟶ L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that ${\mid}{\Delta}_{f_1}-{\Delta}_{f^c_1}{\mid}{\leq}1$, where ${\Delta}_{f_1}$ and ${\Delta}_{f^c_1}$ respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate pair difference cordial labeling behaviour of Petersen graphs P(n, k) like P(n, 2), P(n, 3), P(n, 4).

PAIR DIFFERENCE CORDIALITY OF CERTAIN SUBDIVISION GRAPHS

  • R. PONRAJ;A. GAYATHRI;S. SOMASUNDARAM
    • Journal of applied mathematics & informatics
    • /
    • v.42 no.1
    • /
    • pp.1-14
    • /
    • 2024
  • Let G = (V, E) be a (p, q) graph. Define $$\begin{cases}\frac{p}{2},\:if\:p\:is\:even\\\frac{p-1}{2},\:if\:p\:is\:odd\end{cases}$$ and L = {±1, ±2, ±3, ···, ±ρ} called the set of labels. Consider a mapping f : V → L by assigning different labels in L to the different elements of V when p is even and different labels in L to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that |Δf1 - Δfc1| ≤ 1, where Δf1 and Δfc1 respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate the pair difference cordial labeling behavior of subdivision of some graphs.

Effects of Lewis Number and Preferential Diffusion in Syngas Flame Diluted with He and Ar (He와 Ar으로 희석된 합성가스 화염에서 루이스 수와 선호확산효과)

  • Kim, Tae Hyung;Park, Jeong;Kwon, Oh Boong;Park, Jong Ho
    • Journal of the Korean Society of Combustion
    • /
    • v.19 no.4
    • /
    • pp.28-34
    • /
    • 2014
  • Numerical study is conducted to grasp flame characteristics in $H_2/CO$ syngas counterflow diffusion flames diluted with He and Ar. An effective fuel Lewis number, applicable to premixed burning regime and even to moderately-stretched diffusion flames, is suggested through the comparison among fuel Lewis number, effective Lewis number, and effective fuel Lewis number. Flame characteristics with and without the suppression of the diffusivities of H, $H_2$, and He are compared in order to clarify the important role of preferential diffusion effects through them. It is found that the scarcity of H and He in reaction zone increases flame temperature whereas that of $H_2$ deteriorates flame temperature. Impact of preferential diffusion of H, $H_2$, and He in flame characteristics is also addressed to reaction pathways for the purpose of displaying chemical effects.

Maximum Sunspot Numbers and Active Days

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
    • /
    • v.30 no.3
    • /
    • pp.163-168
    • /
    • 2013
  • Parameters associated with solar minimum have been studied to relate them to solar activity at solar maximum so that one could possibly predict behaviors of an upcoming solar cycle. The number of active days has been known as a reliable indicator of solar activity around solar minimum. Active days are days with sunspots reported on the solar disk. In this work, we have explored the relationship between the sunspot numbers at solar maximum and the characteristics of the monthly number of active days. Specifically, we have statistically examined how the maximum monthly sunspot number of a given solar cycle is correlated with the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days for the corresponding solar cycle. We have calculated the linear correlation coefficient r and the Spearman rank-order correlation coefficient $r_s$ for data sets prepared under various conditions. Even though marginal correlations are found, they turn out to be insufficiently significant (r ~ 0.3). Nonetheless, we have confirmed that the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days is less steep when solar cycles belonging to the "Modern Maximum" are considered compared with rests of solar cycles. We conclude, therefore, that the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days is indeed dependent on the solar activity at its maxima, but that this simple relationship should be insufficient as a valid method to predict the following solar activity amplitude.

Selection of High Redshift Quasars with Multi-wavelength Data

  • Jeon, Yiseul
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.40 no.2
    • /
    • pp.28.2-28.2
    • /
    • 2015
  • High redshift quasars (z > 5) hold keys to understanding the evolution of the universe in its early stage. Yet, the number of high redshift quasars uncovered from previous studies is relatively small (70 or so), and are concentrated mostly in a limited redshift range (z ~ 6). To understand the early mass growth of supermassive black holes and the final stage of the cosmic reionization, it is important to find a statistically meaningful sample of quasars with various physical properties. Here we present a survey for high redshift quasars at 5 < z < 7. Through color selection techniques using multi-wavelength data, we found quasar candidates and carried out imaging follow-up observations to reduce contaminants. After optical spectroscopy, we discovered eight new quasars. We obtained near-infrared spectra for 3 of these 8 quasars, measured their physical properties such as black hole masses and Eddington ratios, and found that the high redshift quasars we discovered are growing via accretion more vigorous than those of their lower redshift counterparts. We estimated the quasar number densities from our discoveries and compared them to those expected from the quasar luminosity functions in literature. In contrast to the observed number density of quasars at z ~ 5, which agrees with literature, the observed number density at z ~ 7 shows values lower than what is expected, even after considering an extrapolated number density evolution. We conclude that the quasar number density at z ~ 7 declines toward higher redshift, more steeply than the empirically expected evolution.

  • PDF

Survey on 'Go Bag' Items in Internet Shopping Malls

  • PARK, Sang-Kyu;UHM, Tai-Hwan
    • Journal of Distribution Science
    • /
    • v.17 no.7
    • /
    • pp.39-44
    • /
    • 2019
  • Purpose - This research was to help distribution of Go Bags (Survival Bag or Disaster Supplies Kit), which are useful for disaster preparedness, by surveying precomposed Go Bag items in internet shopping malls. Research design, data, and methodology - We checked 15 items including food, water, first aid kit, radio, flashlight or candles, battery, lighter or matches, whistle, blanket, towel, toilet paper, personal sanitations, raincoat, can opener, disaster manual in Go Bags based on the recommendations by the Ministry of the Interior and Safety. The number of items and price, domestic product, accreditation were compared using a Chi-square test. The Pearson's R was also used to summarize the strength of the linear relationship between the number of items and price, sub-items. Results - Mean of the sub-items was 21, and mean of the items was 8. There was a statistically significant difference between the number of items size and the price level (p=.014). There was also a statistically significant difference between the number of items and sub-items (p<.001), and correlation coefficient was a positive linear relationship of .467. Conclusions - Only eight were sold in the internet shopping malls as a precomposed Go Bag items. Even the approved Go Bags had no difference in the number of items. Higher prices had a relatively greater number of items, and it had a positive correlation between the size of sub-items and items.

Correlation Coefficient of Leaf Breakdown with Some Agronomic Characters in Flue- Cured Tobacco (Nicotiana tabacum L.) (황색종 연초(Nicotiana tabacum L.)에서 엽탈락과 농경적 형질과의 상관)

  • 조수헌;진정의
    • Journal of the Korean Society of Tobacco Science
    • /
    • v.11 no.2
    • /
    • pp.149-155
    • /
    • 1989
  • This study was conducted to obtain the breeding information for the leaf breakdown, and correlation coefficients between leaf breakdown and some agronomic characters in flue-cured tobacco at Taegu Experiment Station, Korea Ginseng & Tobacco Research Institute. NC 95 and NC 2326 were used as parents. The bulk method procedure was used from the F2 to the F4 generations, 54 plants were selected among F4, and 11 lines were selected among 54 F5 which based on high resistance to bacterial wilt compared with NC2326. The entries were composed of parents and 11 F6 advanced lines, and designed in randomized block with 3 replications. Plant seedlings were transplanted in 16 April. The number of breakdown leaf were investigated at flowering stage, 18 June. There were significant difference between NC 95 and NC 2326 for the number of breakdown leaf, number and weight of ground suckers, days to flower, yield and resistance to bacterial wilt, and similar results were appeared among lines. Estimated heritability in the broad-sense ranged from 59.3% to 87.4% for all characters. Most of genetic correlations were higher than phenotypic coefficients between characters. Number of breakdown leaf was positively correlated with days to flower, the number and weight of ground suckers, while it was negative to yield. One line among 11 had few breakdown leaf, low producted ground suckers and high resistance to bacterial wilt. Above results suggest that the number and weight of ground suckers can be use as a selection criterion for leaf breakdown even under the condition without leaf breakdown.

  • PDF