Pub Date : 2020-09-06DOI: 10.5614/j.math.fund.sci.2020.52.2.4
S. Yalçın, Ş. Altınkaya, G. Murugusundaramoorthy, K. Vijaya
In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={ 𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q -difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.
{"title":"Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator","authors":"S. Yalçın, Ş. Altınkaya, G. Murugusundaramoorthy, K. Vijaya","doi":"10.5614/j.math.fund.sci.2020.52.2.4","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.2.4","url":null,"abstract":"In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={ 𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q -difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"25 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87849618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-01DOI: 10.5614/j.math.fund.sci.2020.52.2.1
D. R. Silaban, E. Baskoro, S. Uttunggadewa
Harary and Miller (1983) started the research on the (restricted) size Ramsey number for a pair of small graphs. They obtained the values for some pairs of small graphs with order not more than four. In the same year, Faudree and Sheehan continued the research and extended the result to all pairs of small graphs with order not more than four. Moreover, in 1998, Lortz and Mengenser gave the size Ramsey number and the restricted size Ramsey number for all pairs of small forests with order not more than five. Recently, we gave the restricted size Ramsey number for a path of order three and any connected graph of order five. In this paper, we continue the research on the (restricted) size Ramsey number involving small graphs by investigating the restricted size Ramsey number for matching with two edges versus any graph of order five with no isolates.
{"title":"Restricted Size Ramsey Number Involving Matching and Graph of Order Five","authors":"D. R. Silaban, E. Baskoro, S. Uttunggadewa","doi":"10.5614/j.math.fund.sci.2020.52.2.1","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.2.1","url":null,"abstract":"Harary and Miller (1983) started the research on the (restricted) size Ramsey number for a pair of small graphs. They obtained the values for some pairs of small graphs with order not more than four. In the same year, Faudree and Sheehan continued the research and extended the result to all pairs of small graphs with order not more than four. Moreover, in 1998, Lortz and Mengenser gave the size Ramsey number and the restricted size Ramsey number for all pairs of small forests with order not more than five. Recently, we gave the restricted size Ramsey number for a path of order three and any connected graph of order five. In this paper, we continue the research on the (restricted) size Ramsey number involving small graphs by investigating the restricted size Ramsey number for matching with two edges versus any graph of order five with no isolates.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"4 1","pages":"133-142"},"PeriodicalIF":0.7,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76341112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-01DOI: 10.5614/j.math.fund.sci.2020.52.2.5
M. J. Baari, B. Bundjali, D. Wahyuningrum
Oligosuccinimide (OSI) is an oligomer with several repeating units of succinimide. In this study, OSI was synthesized by thermal condensation between maleic anhydride and ammonium carbonate. The chemical structure of the synthesized compound was confirmed by FTIR and NMR spectroscopy as well as LC-MS characterization. Evaluation of its performance as corrosion inhibitor and the adsorption mechanism on a carbon steel surface in CO 2 -saturated 1% (w/v) NaCl solution was performed using electrochemical techniques (electrochemical impedance spectroscopy (EIS) and potentiodynamic polarization) and weight-loss methods. These tests were simultaneously carried out for all fractions without separation. The EIS results showed that the inhibition efficiency (IE) of the OSI increased with increasing concentration but decreased at higher temperatures. The potentiodynamic polarization data indicated that the OSI acted as a mixed inhibitor. Adsorption of OSI on the carbon steel generally obeys the Langmuir adsorption isotherm according to curve linearity, which relates the degree of surface coverage to the inhibitor concentration. The standard Gibbs free energy of the adsorption values (∆ G° ads ) were negative within the range of -33.14 to -38.73 kJ.mol -1 , which indicates the spontaneity of the adsorption process on the carbon steel surface and that OSI molecules interacted with the carbon steel through semi-physisorption.
{"title":"Synthesis of Oligosuccinimide and Evaluation of Its Corrosion Inhibition Performance on Carbon Steel in CO2-Saturated 1% NaCl Solution","authors":"M. J. Baari, B. Bundjali, D. Wahyuningrum","doi":"10.5614/j.math.fund.sci.2020.52.2.5","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.2.5","url":null,"abstract":"Oligosuccinimide (OSI) is an oligomer with several repeating units of succinimide. In this study, OSI was synthesized by thermal condensation between maleic anhydride and ammonium carbonate. The chemical structure of the synthesized compound was confirmed by FTIR and NMR spectroscopy as well as LC-MS characterization. Evaluation of its performance as corrosion inhibitor and the adsorption mechanism on a carbon steel surface in CO 2 -saturated 1% (w/v) NaCl solution was performed using electrochemical techniques (electrochemical impedance spectroscopy (EIS) and potentiodynamic polarization) and weight-loss methods. These tests were simultaneously carried out for all fractions without separation. The EIS results showed that the inhibition efficiency (IE) of the OSI increased with increasing concentration but decreased at higher temperatures. The potentiodynamic polarization data indicated that the OSI acted as a mixed inhibitor. Adsorption of OSI on the carbon steel generally obeys the Langmuir adsorption isotherm according to curve linearity, which relates the degree of surface coverage to the inhibitor concentration. The standard Gibbs free energy of the adsorption values (∆ G° ads ) were negative within the range of -33.14 to -38.73 kJ.mol -1 , which indicates the spontaneity of the adsorption process on the carbon steel surface and that OSI molecules interacted with the carbon steel through semi-physisorption.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"17 1","pages":"202-221"},"PeriodicalIF":0.7,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73179688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-30DOI: 10.5614/j.math.fund.sci.2020.52.1.2
J. Sabi’u, A. Shah, M. Waziri, M. K. Dauda
In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiere-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monotone line search is provided. Lastly, a numerical experiment was used to enumerate the suitability of the proposed scheme for large-scale problems.
{"title":"A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations","authors":"J. Sabi’u, A. Shah, M. Waziri, M. K. Dauda","doi":"10.5614/j.math.fund.sci.2020.52.1.2","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.2","url":null,"abstract":"In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiere-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monotone line search is provided. Lastly, a numerical experiment was used to enumerate the suitability of the proposed scheme for large-scale problems.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"18 1","pages":"17-26"},"PeriodicalIF":0.7,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75242174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-30DOI: 10.5614/j.math.fund.sci.2020.52.1.5
Chairunnisa Chairunnisa, Y. Lisafitri
Low-cost adsorbents from cassava leaves (CLP) were prepared by simply washing the leaf powder with deionized water. The adsorption of methylene blue (MB) from the aqueous solution was measured in order to examine the adsorbent performance. The effect of the pH of the solution was studied by varying pH from 2 to 10. The kinetics of MB adsorption onto CLP followed the pseudo-second-order kinetic model with a k -value of 0.087907 g mg -1 min -1 and 0.094081 g mg -1 min -1 for CLP before and after washing, respectively. The adsorption isotherm for both adsorbents followed the Langmuir isotherm model with qm values of 178.5 mg g -1 and 243.9 mg g -1 . The existence of disturber ions was investigated by adding NaCl into the MB solutions at a variety of concentrations.
用去离子水对木薯叶粉进行简单洗涤，制备了低成本的吸附剂。测定了该吸附剂对亚甲基蓝(MB)的吸附性能。研究了溶液pH值在2 ~ 10范围内变化的影响。CLP对MB的吸附动力学符合准二级动力学模型，洗涤前后的k值分别为0.087907 g mg -1 min -1和0.094081 g mg -1 min -1。两种吸附剂的吸附等温线均符合Langmuir等温线模型，qm分别为178.5 mg g -1和243.9 mg g -1。通过在不同浓度的MB溶液中加入NaCl，考察了干扰离子的存在。
{"title":"Preliminary Studies of Cassava Leaves’ Ability to Remove Dyes from Water","authors":"Chairunnisa Chairunnisa, Y. Lisafitri","doi":"10.5614/j.math.fund.sci.2020.52.1.5","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.5","url":null,"abstract":"Low-cost adsorbents from cassava leaves (CLP) were prepared by simply washing the leaf powder with deionized water. The adsorption of methylene blue (MB) from the aqueous solution was measured in order to examine the adsorbent performance. The effect of the pH of the solution was studied by varying pH from 2 to 10. The kinetics of MB adsorption onto CLP followed the pseudo-second-order kinetic model with a k -value of 0.087907 g mg -1 min -1 and 0.094081 g mg -1 min -1 for CLP before and after washing, respectively. The adsorption isotherm for both adsorbents followed the Langmuir isotherm model with qm values of 178.5 mg g -1 and 243.9 mg g -1 . The existence of disturber ions was investigated by adding NaCl into the MB solutions at a variety of concentrations.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"114 46","pages":"66-80"},"PeriodicalIF":0.7,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72376770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-30DOI: 10.5614/j.math.fund.sci.2020.52.1.4
S. Shuaib, Pakwan Riyapan
In this article, we formulate and analyze a mathematical model including breastfeeding and vaccination to study the transmission dynamics of rotavirus epidemics. The model is divided into five compartmental classes, namely, the susceptible compartment S(t) ; the breastfeeding compartment M(t) ; the vaccinated compartment V(t) ; the infected compartment I(t) ; and the recovered compartment R(t) . To understand the threshold of infection, the basic reproduction number relating to breastfeeding and vaccination, denoted as R vm , is computed. The results show that if R vm 1, global asymptotic stability of the endemic equilibrium exists. Numerical simulations were carried out to support the model analysis and to examine the effects of breastfeeding and vaccination on rotavirus epidemics. The model fits well with real data to predict the infected population in real life. The analysis and numerical results of the model confirm that the combination of vaccination and breastfeeding is more effective in reducing the spread of rotavirus epidemics.
{"title":"A Mathematical Model to Study the Effects of Breastfeeding and Vaccination on Rotavirus Epidemics","authors":"S. Shuaib, Pakwan Riyapan","doi":"10.5614/j.math.fund.sci.2020.52.1.4","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.4","url":null,"abstract":"In this article, we formulate and analyze a mathematical model including breastfeeding and vaccination to study the transmission dynamics of rotavirus epidemics. The model is divided into five compartmental classes, namely, the susceptible compartment S(t) ; the breastfeeding compartment M(t) ; the vaccinated compartment V(t) ; the infected compartment I(t) ; and the recovered compartment R(t) . To understand the threshold of infection, the basic reproduction number relating to breastfeeding and vaccination, denoted as R vm , is computed. The results show that if R vm 1, global asymptotic stability of the endemic equilibrium exists. Numerical simulations were carried out to support the model analysis and to examine the effects of breastfeeding and vaccination on rotavirus epidemics. The model fits well with real data to predict the infected population in real life. The analysis and numerical results of the model confirm that the combination of vaccination and breastfeeding is more effective in reducing the spread of rotavirus epidemics.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"13 1","pages":"43-65"},"PeriodicalIF":0.7,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85577163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-30DOI: 10.5614/j.math.fund.sci.2020.52.1.7
A. Barlian, N. L. W. E. Yanti
L-ascorbic acid 2-phosphate (LAA) is known to induce chondrocyte differentiation. The objective of this study was to analyze the potency of LAA in chondrogenic differentiation of adipose-derived mesenchymal stem cells (ADSC) by analyzing the glycosaminoglycans (GAG) content and type II collagen (Coll2) localization. ADSC was characterized using flow cytometry and cultured in media containing various concentrations of LAA (0, 25, 50, 100 μg/mL) for 2, 3 and 4 weeks. Coll2 localization was analyzed by immunocytochemistry (ICC) using a confocal microscope. The quantification of GAG was performed by Alcian Blue staining and calcium deposition by Alizarin Red S staining. The results showed that ADSC was positive for mesenchymal stem cell (MSC) markers. Coll2 was localized in the cytoplasm and showed increasing abundance along with the increase of the LAA concentration. The highest intensity of Coll2 localization was shown in LAA 100 μg/mL. ADSC in LAA induction medium showed higher GAG content compared to the control group (LAA 0 μg/mL) (p < 0.05). The highest calcium deposit was shown by LAA 25 μg/mL after 4 weeks of culture (p < 0.05) and it decreased at higher concentrations. In conclusion, LAA 100 μg/mL is considered the optimum LAA concentration for chondrogenic differentiation.
{"title":"Glycosaminoglycans Content and Type II Collagen Localization in Chondrogenic Differentiation of Adipose-Derived Mesenchymal Stem Cells Induced by L-Ascorbic Acid 2-Phosphate","authors":"A. Barlian, N. L. W. E. Yanti","doi":"10.5614/j.math.fund.sci.2020.52.1.7","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.7","url":null,"abstract":"L-ascorbic acid 2-phosphate (LAA) is known to induce chondrocyte differentiation. The objective of this study was to analyze the potency of LAA in chondrogenic differentiation of adipose-derived mesenchymal stem cells (ADSC) by analyzing the glycosaminoglycans (GAG) content and type II collagen (Coll2) localization. ADSC was characterized using flow cytometry and cultured in media containing various concentrations of LAA (0, 25, 50, 100 μg/mL) for 2, 3 and 4 weeks. Coll2 localization was analyzed by immunocytochemistry (ICC) using a confocal microscope. The quantification of GAG was performed by Alcian Blue staining and calcium deposition by Alizarin Red S staining. The results showed that ADSC was positive for mesenchymal stem cell (MSC) markers. Coll2 was localized in the cytoplasm and showed increasing abundance along with the increase of the LAA concentration. The highest intensity of Coll2 localization was shown in LAA 100 μg/mL. ADSC in LAA induction medium showed higher GAG content compared to the control group (LAA 0 μg/mL) (p < 0.05). The highest calcium deposit was shown by LAA 25 μg/mL after 4 weeks of culture (p < 0.05) and it decreased at higher concentrations. In conclusion, LAA 100 μg/mL is considered the optimum LAA concentration for chondrogenic differentiation.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"42 1","pages":"98-111"},"PeriodicalIF":0.7,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88145644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-30DOI: 10.5614/j.math.fund.sci.2020.52.1.3
Sahil Arora, Manoj Kumar, S. Mishra
In this manuscript, we introduce the concept of modified α-admissible contraction with the help of a simulation function and use this concept to establish some coincidence and common fixed-point theorems in metric space. An illustrative example that yields the main result is given. Also, several existing results within the frame of metric space are established. The main theorem was applied to derive the coincidence and common fixed-point results for α-admissible 𝒵-contraction.
{"title":"A New Type of Coincidence and Common Fixed-Point Theorems for Modified 𝛂-Admissible 𝓩-Contraction Via Simulation Function","authors":"Sahil Arora, Manoj Kumar, S. Mishra","doi":"10.5614/j.math.fund.sci.2020.52.1.3","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.3","url":null,"abstract":"In this manuscript, we introduce the concept of modified α-admissible contraction with the help of a simulation function and use this concept to establish some coincidence and common fixed-point theorems in metric space. An illustrative example that yields the main result is given. Also, several existing results within the frame of metric space are established. The main theorem was applied to derive the coincidence and common fixed-point results for α-admissible 𝒵-contraction.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"20 1","pages":"27-42"},"PeriodicalIF":0.7,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84460869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-29DOI: 10.5614/j.math.fund.sci.2020.52.1.1
Anie Lusiani, E. Baskoro, S. Saputro
For simple graphs G and H the size multipartite Ramsey number mj ( G , H ) is the smallest natural number t such that any arbitrary red-blue coloring on the edges of Kjxt contains a red G or a blue H as a subgraph. We studied the size tripartite Ramsey numbers m 3( G , H ) where G=mK1,n and H=P3 . In this paper, we generalize this result. We determine m3(G,H) where G is a star forest, namely a disjoint union of heterogeneous stars, and H=P3 . Moreover, we also determine m2(G,H) for this pair of graphs G and H .
{"title":"On Size Bipartite and Tripartite Ramsey Numbers for The Star Forest and Path on 3 Vertices","authors":"Anie Lusiani, E. Baskoro, S. Saputro","doi":"10.5614/j.math.fund.sci.2020.52.1.1","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.1","url":null,"abstract":"For simple graphs G and H the size multipartite Ramsey number mj ( G , H ) is the smallest natural number t such that any arbitrary red-blue coloring on the edges of Kjxt contains a red G or a blue H as a subgraph. We studied the size tripartite Ramsey numbers m 3( G , H ) where G=mK1,n and H=P3 . In this paper, we generalize this result. We determine m3(G,H) where G is a star forest, namely a disjoint union of heterogeneous stars, and H=P3 . Moreover, we also determine m2(G,H) for this pair of graphs G and H .","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"114 1","pages":"1-16"},"PeriodicalIF":0.7,"publicationDate":"2020-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73413452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-28DOI: 10.5614/j.math.fund.sci.2020.52.1.8
Xinying Chew, K. W. Khaw
In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSI D MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSI D MCV chart is illustrated with an example.
近年来，监测变异系数(CV)(表示为方差与均值之比)的控制图由于能够监测过程均值和过程方差并非相互独立的过程而引起了人们的极大关注。然而，很少有研究用图表来监测向下的过程转移，这是很重要的，因为向下的过程转移显示了过程的改进。鉴于当今竞争激烈的制造业环境的重要性，本文提出了一种单侧图来监测具有可变样本量和抽样间隔(VSSI)的向下多元CV (MCV)，即VSSI D MCV图。本文监测MCV，因为大多数工业过程同时监测至少两个或两个以上的质量特征，同时纳入了VSSI特征，因为它表明该特征带来了图表的显着改进。采用马尔可夫链方法设计了该图表的性能度量。数值比较表明，所提出的图表优于现有的MCV图表。通过实例说明了vssdmcv图的实现。
{"title":"One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy","authors":"Xinying Chew, K. W. Khaw","doi":"10.5614/j.math.fund.sci.2020.52.1.8","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2020.52.1.8","url":null,"abstract":"In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today’s competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSI D MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSI D MCV chart is illustrated with an example.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"1 1","pages":"112-130"},"PeriodicalIF":0.7,"publicationDate":"2020-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74033428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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