Volume-5 , Issue-4 , Aug 2018, ISSN 2348-4519 (Online) Go Back

• Open Access   Article

  A case study on early detection, prediction and prevention of heart disease in a multispecialty hospital by applying six sigma methodologies

  V. Nirmala, K.K. Suresh

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.1-8, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.18

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  Survey report on predicting positive Coronary Artery Disease from symptoms and evolving a diagnostic package for the 128 sliced computed tomography for a multispecialty hospital by using six sigma methodologies. Materials and methods Dynamic 128-slice Computed Tomography Scan was performed in patients admitted to the radiology department among October 2013 to January 2014. This paper deals with the data based decision making process by implementing Zero defect quality, Six Sigma methodologies. The presentation makes an attempt to study the “Existing process of numerous data generation” towards zero defect quality and make the Computed Tomography Scan diagnostic intelligent technology aware among the common man in bringing awareness on “Early Detection, Prediction and Prevention”. To continuously upgrade the technology for an early diagnosis and to render excellent quality treatment to the patients.

  Key-Words / Index Term
  Six Sigma, Quality, DMAIC, Breakthrough improvement, mini tab 17 software.

  References
  [1]. Albright S. “Data Analysis and Decision Making with Microsoft Excel”, Duxbury Press, ISBN: 0534389325 pp. 56-72, 2001.
  [2]. Breakthrough Management Group, “Six Sigma Black belt Training Handbook”. Tamko Roofing Products, Total Quality Management Handbook pp. 32-61.
  [3]. Chowdhary, S., “The power of Six Sigma: An Inspiring Tale of How Six Sigma Is Transforming the Way We Work”, Dearborn Trade, ISBN: 0793144345. Pp. 64-79, 2001.
  [4]. Delrue L, Blanckaert P, Mertens D, et al. “Assessment of tumor vascularization in pancreatic adenocarcinoma using 128-slice perfusion CT imaging”. J Comput Assist Tomogr Vol. 35, PP. 434 - 438, 2011
  [5]. Deming, W., “Out of the Crisis”, MIT Press, ISBN: 0262541157, Vol. 1, pp. 3-16, 2000.
  [6]. Forrest W. Breyfogle III, “Managing Six Sigma: A Practical Guide to Understanding, Assessing, and Implementing the Strategy That Yields Bottom-Line Succes, Wiley-Interscience”, ISBN: 0471396737, Vol. 3, Issue 1, pp. 5-11, 2000.
  [7]. M. Mounica A, Ananda Rao, P. Radhika Raju, “PABR Algorithm for Improving the Data archival performance of a HDFS”, International Journal of Computer Science and Engineering Vol.6, Issue-7, pp.37-42 , 2018
  [8]. Nirmala.V and Suresh. K. K., “Construction and Selection of Continuous Sampling Plan of type (CSP-T) Indexed through Maximum Allowable Average Outgoing Quality”. Journal of Statistics and Management System. Vol. 20, Issue 3: pp. 441-457 2017.
  [9]. Nirmala.V and Suresh. K. K. “Designing of Bayesian Skip – lot Sampling Plan – V with MDS (0, 2)”, International Journal of Statistics and Analysis, Vol. 7, Issue 1, pp. 15-18, 2017.
  [10]. Nirmala.V and Suresh. K. K., “Designing of MATLAB Program for Various Fuzzy Quality Regions in CSP-MLP-T-3 Sampling plan”, International Journal on Future Revolution in Computer Science and Communication Engineering, Vol. 3, Issue 7, pp. 065-068, 2017.
  [11]. Nirmala.V and Suresh. K. K., “Designing of Continuous Sampling Plan of type (CSP-3) indexed through Maximum Allowable Average Outgoing Quality with Markov chain approach”, International Journal of Statistics and Systems, Vol. 12, Issue 2, pp. 277-283, 2017.
  [12]. Pande, P., et al, “The Six Sigma Way: How GE, Motorola, and Other Top Companies are Honing Their Performance”, McGaw-Hill Trade, ISBN: 0071358064, Vol. 5, Issue 1, pp. 11-27, 2000.
  [13]. Pyzdek T., “The Six Sigma Handbook, McGraw-Hill Trade”, ISBN: 0071372334, Vol. 8, Issue 1, pp. 51-124, 2000.
  [14]. P.A. Wange and S.M. Rajbhoj, “Energy Efficient Industrial Application Using IOT”, International Journal of Computer Science and Engineering Vol.6, Issue-7, pp.115-118, 2018.
  [15]. R. Radhakrishnan and P. K. Sivakumaran, “Prob Stat Forum Construction and selection of six sigma based Link sampling plans”, Vol. 3,pp. 65-77, 2010,
  [16]. S. Vispute, J.R. Singh, “Economic Effect on Variables Sampling Plans Under Second Order Auto-Correlation”, International Journal of scientific research in Mathematical and Statistical Sciences, Vol. 1, Issue. 2, pp.1-15, 2014.
  [17]. Suresh.K.K and Nirmala.V, “Designing of Continuous Sampling Plan (CSP-T) through Quality Decision Regions”, International Journal of Pure and Applied Mathematics, Vol. 106, Issue 7, pp. 15 – 20, 2016.
  

  Citation
  V. Nirmala, K.K. Suresh, "A case study on early detection, prediction and prevention of heart disease in a multispecialty hospital by applying six sigma methodologies," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.1-8, 2018

• Open Access   Article

  Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation

  E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.9-21, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.921

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  This study analyzes laminar forced convection flow in parallel plate micro-channel with slip velocity and temperature jump. Closed-form solutions are obtained for temperature, bulk temperature and rate of heat transfer when both walls of the channel are kept at unequal temperatures. The effects of various controlling parameters such as rarefaction parameter, fluid-wall interaction parameter and Brinkman number on the thermal behavior and rate of heat transfer are discussed with the aid of line graphs. Interesting result from the present work is that increase in rarefaction parameter leads to enhancement in fluid temperature while increase in fluid-wall interaction parameter leads to increase in temperature jump on the walls of the channel. In addition, the rate of heat transfer represented as the Nusselt number at the both walls of the channel displays an unbounded swing which varies with increase in fluid-wall interaction and rarefaction parameters.

  Key-Words / Index Term
  Micro-channel, forced convection, velocity slip, temperature jump, viscous dissipation, Nusselt number

  References
  [1]. A. Beskok, G.E. Karniadakis, G.E., “Flow Regimes in Gases”, J. Thermo. & Heat Transfer, 8, 647-655, 1994.
  [2]. H.C. Weng, C.K. Chen, “Drag reduction and heat transfer enhancement over a heated wall of a vertical annular micro-channel” Int J Heat Mass Trans, 52: 1075-1079, 2009.
  [3]. H.C. Weng, C.K. Chen, “Fully developed thermocreep-driven gas microflow”, Applied Phys Lett, 92, 94-105, 2008.
  [4]. A. Barletta, “Laminar convection in a vertical channel with viscous dissipation and bouyancy effects”, Int. commun in Heat Mass Transf, 26: 153-164, 1999.
  [5]. B.K. Jha, A. Babatunde and I. Sani, “Transient magnetohydrodynamic free convective flow in vertical micro-concentric annuli”, J Nanoengineering and Nanosystems, 1:1-12, 2014.
  [6]. L. Biswal, S. Som, S. Chakrabourty, “Effects of entrance region transport processes on slip convection slip flow in vertical micro-channel with isothermally heated walls”, Int. J. Heat Mass Transfer, 50: 1248-1254, 2007.
  [7]. P.K. Mondal and M. Sanchayan, “Viscous dissipation effect on the limiting value of Nusselt numbers for a shear driven flow through an asymmetrically heated parallel plates”. Frontier in Heat and Mass Trans, 3: 033004, 2012.
  [8]. C.P. Tso, J. Sheela-Francisca and Y.M Hung, “Viscous dissipation effect of power law fluid flow within parallel plates with constant heat fluxes”, J Non-Newtonian Fluid Mechanics 165: 625-630, 2011.
  [9]. O. Aydin, M. Avci, “Viscous dissipation effects on the heat transfer in a Poiseuille flow”, Int J of App Energy, 83, 495-512, 2006.
  [10]. A. Barletta, “Laminar mixed convection with viscous dissipation in a vertical channel”, Int J Heat Mass Trans, 41, 3501-3513, 1998.
  [11]. R. Ramjee and V.V Satyamurty, “Limiting Nusselt number for viscous dissipative flow between parallel plates kept at unequal temperatures”, 37, 1251-1254, 2010.
  [12]. A.P. Hatton and J.S. Turton, “Heat transfer in thermal entry length with laminar flow between parallel walls at unequal temperatures” Int J Heat Mass Trans 5, 673-679, 1962.
  [13]. M.M.J. Kumar, V.V. Satyamurty, “Limiting Nusselt number for laminar forced convection in asymmetrically heated annuli with viscous dissipation”, Int Commun Heat Mass Trans 38, 923-927, 2011.
  

  Citation
  E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji, "Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.9-21, 2018

• Open Access   Article

  Inclusion of Birth and Death Rate in the Modelling of Lassa Fever in Nigeria

  O.V Oni, Y.O. Akanle, Ibrahim-Tiamiyu S.

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.22-32, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.2232

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  The spread dynamics of Lassa fever with inclusion of birth and death rate using the modified Susceptible, Exposed, Infected and Removed model, which is a system of ordinary differential equation. We study the model with demographic effects in Nigeria in order to analyze the stabilities with birth and death rate inclusion; the spread and control of the disease with the use of immunization. Our study reveals that immunization is a very efficient factor in reducing the number of infected individuals in a short time period, early diagnostic of infected humans is the best approach against the spread of the disease.

  Key-Words / Index Term
  Lassa fever, Model, Vaccination, Birth rate, Death rate

  References
  [1]. Bawa, M., Abdulraham, S., Jimoh, O.R., (2013). Stability Analysis of the Disease Free-Equilibrium State of Lassa fever Disease. Int. J. of Sc.and Math. Edu. 9(2). 115- 123
  [2]. Centers for Disease Control and Prevention (2004). Imported Lassa fever. MMWR Morb Mortality Wkly Rep. 53 (38), 894-897.
  [3]. Centers for Disease Control and Prevention (2013). Lassa fever fact sheet. MMWR Morb Mortality Wkly Rep.
  [4]. Dejen, K. M, and Purnachandra R. K.(2016) An introduction to models for disease dynamics. School of Mathematical & Statistical Sciences, Hawassa University, Hawassa, Ethiopia
  [5]. Gunter, S., Weisner, B., Roth, A.,Gnewing T., Asper,M.,Drosten, C., Emmerich, P.,Peterson, J., Wilczerk, M. Schmitz H.,and Gunther, S. (2001). Lassa fever Encephalotopathy: Lassa virus in Cerebrospinal Fluid but Not in serum. The Journal of Infectious Diseases 184 (3), 345-349. DOI: 10.1086/322033.2001.11443561.
  [6]. Marek, B. T (2017), Deterministic Seirs Epidemic Model for Modeling Vital Dynamics, Vaccinations, and Temporary Immunity, Academic Editor: Brigitte Servatius.
  [7]. Murali, H. (2009), Spatial Epidemiology. SAMSI.
  [8]. Ogbu, O., Ajuluchukwu, E., and Uneke, C. J. (2007). Lassa fever in West Africa Sub-region: an overview. J. Vect. Borne Disease. 44, 1-11.
  [9]. Okuonghae D & Okuonghae, I. (2006). A mathematical model for Lassa fever. Journal of National Association of Mathematical physics, 10, 457-464.
  [10]. Oswaldo S. B, Fernando S. M (2016) Dynamic Models in Diseases.
  [11]. Ottar, B. (2005), Mathematical Modeling and Simulation Study of SEIR disease and Data Fitting of Ebola Epidemic spreading in West Africa.
  [12]. World Health Organization (2016). Lassa fever: Factsheets. Available at http: who.int/mediacenter/factsheets/fs179/en/Accessed on 24/06/2016.
  [13]. World Health Organization (2018), WHO Lassa Fever Fact Sheet Available online www.afro.who.int/news/who-moves-contain-Nigeria’s Lassa fever outbreak.
  

  Citation
  O.V Oni, Y.O. Akanle, Ibrahim-Tiamiyu S., "Inclusion of Birth and Death Rate in the Modelling of Lassa Fever in Nigeria," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.22-32, 2018

• Open Access   Article

  Effect of Variable permeability, concentration and viscous dissipation with Chemical reaction and Oscillating temperature on Unsteady MHD Walter’s-B viscoelastic dusty fluid past over inclined porous

  Nidhi Pandya, Mohammad Suleman Quraishi

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.33-43, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.3343

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper we have investigated the effects of radiation, chemical reaction, viscous dissipation and variable permeability for an unsteady MHD (Magnetohydrodynamic) Walter’s-B viscoelastic dusty flow of an incompressible viscous and electrically conducting dusty fluid past a continuously moving inclined porous plate with mass transfer and oscillating temperature. The Governing partial differential equations of fluid profiles are solved numerically by Crank-Nicolson method and results are discussed with graphs.

  Key-Words / Index Term
  MHD, Chemical reaction, thermal radiation, porous medium, Heat and mass transfer, Crank-Nicolson Method

  References
  [1] S. N. Bastia, R.S. Rath, “Steady flow and heat transfer in a viscoelastic fluid between two coaxial rotating disk”, Proc. Mathematical Sciences. Vol.87, Issue9, pp.227–236, 1978.
  [2] A. A. Raptis, H. S. Takhar, “Heat transfer fromflow of an elastico-viscous fluid”, Int Comm. Heat and Mass Transfer, Vol.16, Issue.2, pp.193–197, 1989.
  [3] R. C. Chaudhary, P. Jain, “Hall effect on MHD mixed convection flow of a viscoelastic fluid past an infinite vertical porous plate with mass transfer and radiation”, Theoretical and Applied Mechanics, Vol.33, Issue.4, pp.281–309, 2006.
  [4] K. Rajgopal, P. H. Veena, V. K. Pravin, “Non similar solutions for heat and mass transfer flow in an electrically conducting viscoelastic fluid over a stretching sheet saturated in a porous medium with suction/blowing”, J. Porous Media, Vol.11, Issue.2, pp.219–230, 2008.
  [5] S. Dholey, A. S. Gupta, T. R. Mahapatra, “Momentum and heat transfer in the magnetohydrodynamic stagnation point flow of a viscoelastic fluid towards a stretching surface”, Mechanica. Vol.42, Issue.3, pp.263–272, 2007.
  [6] P. Ganesan, V. M. Soundalgekar, “Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate”, Int. J. of Engng. Sciences. Vol.19, Issue.6, pp.757–770, 1981.
  [7] N. Pandya, A. K. Shukla, “Soret-Dufour and radiation effects on unsteady MHD flow past an impulsively started inclined porous plate with variable temperature and mass diffusion, Int. J. of Math. and Sci. Comp. Vol.3, Issue.2, pp.41–48, 2013.
  [8] N. Pandya, A. K. Shukla, “Soret-Dufour and radiation effects on unsteady MHD flow over an inclined porous plate embedded in porous medium with viscous dissipation”, Int. J. Adv. Appl. Math. And Mech. Vol.2, Issue1, pp.107–119, 2014.
  [9] U. R. Rao, V. R. Prasad, G. Vishwanath, B. Vasu “Radiation effects on unsteady free convection heat and mass transfer in a Walter’s-B viscoelastic flow past an impulsively started vertical plate”, Int. J. of Scientific & Engineering Research, Vol. 3, Issue.8, pp.1–9, 2012.
  [10] N. Pandya and R. K. Yadav “Numerical Simulation of Soret-Dufour and Radiation effects on Unsteady MHD flow of Viscoelastic Dusty fluid over Inclined Porous Plate”, International Journal of Computer Sciences and Engineering, Vol. 6, Issue 6, pp. 898-908, 2018
  [11] T. G. Cowling, “Magnetohydrodynamic”, Intersicence Publisher, New York, 1957.
  [12] Brice Carnahan, H. A. Luthor, J. O. Wilkes, “Applied Numerical Methods”, John Wiley and Sons, New York, 1969.
  

  Citation
  Nidhi Pandya, Mohammad Suleman Quraishi, "Effect of Variable permeability, concentration and viscous dissipation with Chemical reaction and Oscillating temperature on Unsteady MHD Walter’s-B viscoelastic dusty fluid past over inclined porous," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.33-43, 2018

• Open Access   Article

  Retailer’s Optimal Payment Decisions for Price-dependent Demand under Partial Advance Payment and Trade Credit in Different Scenarios

  Rajesh Gupta, Snigdha Banerjee and Swati Agrawal

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.44-53, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.4453

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper, we investigate retailer’s payment decisions in an EOQ framework for a supply chain system under trade credit and partial advance payment. Considering price-dependent demand, the model has been developed under three different scenarios. In Scenario I, the optimal length of the replenishment cycle is determined when the supplier specifies the discount factor for the advance payment to be made by the retailer and the retailer’s has a fixed mark-up. In Scenario II, retailer’s optimal selling price is determined for the fixed length of the replenishment cycle and discount factor specified by the supplier. In Scenario III, discount factor is optimally decided by the retailer for specified retailer’s selling price and the fixed length of the replenishment cycle. In all the three scenarios, the retailer’s payment has to be made at two different stages: partial advance payment at the time of placing the order prior to beginning of the selling season and the remaining dues have to be paid at the end of permitted trade credit period with an objective to maximize the retailer’s net profit. Numerical examples are presented. It is seen that the retailer’s net profit is maximum when the retailer can decide his selling price.

  Key-Words / Index Term
  Inventory, supply chain, trade credit, discounted advance payment, price- dependent demand

  References
  [1] C.W. Haley, R.C. Higgins, “Inventory policy and trade credit financing”, Management Science, Vol. 20, No., 4, pp. 464– 471, 1973.
  [2] C.B. Chapman, S.C. Ward, D.F. Cooper, M.J. Page, “Credit policy and inventory control”, Journal of the Operational Research Society, 35, 1005–1065, 1984.
  [3] S.K. Goyal, “Economic order quantity under conditions of permissible delay in payments”, Journal of the Operational Research Society, 36, 335–338, 1985.
  [4] C.K. Jaggi, S.P. Aggarwal, “Credit financing in economic ordering policies of deteriorating items”, International Journal of Production Economics, Vol. 34, No., 2, pp. 151–155, 1994.
  [5] M. Khouja, A. Mehrez, “Optimal inventory policy under different supplier credit policies”, Journal of Manufacturing Systems, Vol. 15, No., 5, pp. 334–339, 1996.
  [6] M.C. Cheng, C.T. Chang, L.Y. Ouyang, “The retailer`s optimal ordering policy with trade credit in different financial environments”, Applied Mathematical Computations, 218 (19), 9623–9634, 2012.
  [7] L.Y. Ouyang, C.H. Ho, C.H. Su, “Optimal strategy for the integrated vendor-buyer inventory model with adjustable production rate and trade credit”, International Journal of Information and Management Science, 16, 19–37, 2005.
  [8] S.K. Goyal, J.T. Teng, C.T. Chang, “Optimal ordering policies when the supplier provides a progressive interest scheme,” European Journal of Operational Research, 179, 404–413, 2007.
  [9] C.H. Ho, L.Y. Ouyang, C.H. Su, “Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit”, European Journal of Operational Research, 187, 496–510, 2008.
  [10] S.S. Sana, K.S. Chaudhuri, “A deterministic EOQ model with delays in payments and price-discount offers,” European Journal of Operational Research, 184, 509–533, 2008.
  [11] K. Skouri, I. Konstantaras, S. Papachristos, J.T. Teng, “Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payments” Expert System Applications, 38 (12), 14861–14869, 2011.
  [12] M.S. Chern, Y.L. Chan, J.T. Teng, S.K. Goyal, “Nash equilibrium solution in a vendor-buyer supply chain model with permissible delay in payments”, Computers and Industrial Engineering, vol. 70, pp. 116–123, 2014.
  [13] A.A. Taleizadeh, D. W. Pentico, M. S. Jabalameli, M. Aryanezhad, “An EOQ model with partial delayed payment and partial backordering”, Omega, 41, 354–368, 2013.
  [14] Guria, B. Das, S. Mondal, M. Maiti, “Inventory policy for an item with inflation induced purchasing price, sell price and demand with immediate part payment”, Applied Mathematical Modelling, 37, 240–257, 2013.
  [15] J. Wu, Y.L. Chan, “Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers” International Journal of Production Economics, 155, 292–30, 2014.
  [16] S. C. Chen, J.T. Teng, “Retailer’s optimal ordering policy for deteriorating items with maximum lifetime under supplier’s trade credit financing”, Applied Mathematical Modelling, 2014.
  [17] A.X. Zhang, “Optimal advance payment scheme involving fixed per-payment costs”, Omega, 24 (5), 577–582, 1996.
  [18] A.K. Maiti, M.K. Maiti, M. Maiti, “Inventory model with stochastic lead-time and price dependent demand incorporating advance payment”, Applied Mathematical Modelling, 33, 2433–2443, 2009.
  [19] A.A. Taleizadeh, S. T. A. Niaki, R. Nikousokhan, “Constraint multiproduct joint-replenishment inventory control problem using uncertain programming”, Applied Soft Computing, 11, 5143–5154, 2011.
  [20] Thangam, “Optimal price discounting and lot-sizing policies for perishable items in a supply chain under advance payment scheme and two-echelon trade credits”, International Journal of Production Economics, 139, 459–472, 2012.
  [21] A.A. Taleizadeh, H. M. Wee, et al., “Revisiting a fuzzy rough economic order quantity model for deteriorating items considering quantity discount and prepayment”, Mathematical and Computer Modelling, 57, 1466–1479, 2013a.
  [22] A.A. Taleizadeh, D. W. Pentico, S. Jabalameli, M. B. Aryanezhad, “An economic order quantity model with multiple partial prepayments and partial backordering”, Mathematical and Computer Modelling, 57, 311–323, 2013b.
  [23] A.A. Taleizadeh, D. W. Pentico, S. Jabalameli, M. B. Aryanezhad, “An EOQ model with partial delayed payment and partial backordering”, Omega, 41, 354–368, 2013c.
  [24] Q. Zhang, Y.C. Tsao, T.H. Chen, “Economic order quantity under advance payment”, Applied Mathematical Modelling, 38(24), 5910–5921, 2014.
  [25] A.A. Taleizadeh, “An economic order quantity model for deteriorating item in a purchasing system with multiple prepayments”, Applied Mathematical Modelling, 38, 5357–5366, 2014a.
  [26] A.A. Taleizadeh, “An EOQ model with partial backordering and advance payments for an evaporating item”, International Journal of Production Economics, 155, 185–193, 2014b.
  [27] N.P. Zia, A.A. Taleizadeh, “Lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment”, Transportation Research, E 82, 19–37, 2015.
  [28] M. Lashgari, A.A. Taleizadeh, S.S. Sana, “An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade credit linked to order quantity”, Journal of Industrial & Management Optimization, 12 (3), 1091–1119, 2016.
  [29] A.A. Taleizadeh, “Lot‐sizing model with advance payment pricing and disruption in supply under planned partial backordering”, International Transactions in Operational Research, 24(4), 783-800, 2017.
  [30] J. Wu, J.T. Teng, Y.L. Chan, “Inventory policies for perishable products with expiration dates and advance-cash-credit payment schemes”, International Journal of Systems Science: Operations and Logistics, 1–17, 2017.
  [31] R. Li, K. Skouri, J.T. Teng, W.G. Yang, “Seller`s optimal replenishment policy and payment term among advance, cash, and credit payments”, International Journal of Production Economics, 197, 35–42, 2018.
  

  Citation
  Rajesh Gupta, Snigdha Banerjee and Swati Agrawal, "Retailer’s Optimal Payment Decisions for Price-dependent Demand under Partial Advance Payment and Trade Credit in Different Scenarios," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.44-53, 2018

• Open Access   Article

  Measuring the Technical Efficiency of Decision Making Units by CCR Model in Data Envelopment Analysis

  Raju Nellutla, M. Goverdhan, V.V. Haragopal

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.54-60, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.5460

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper we analyse the Board of Intermediate Public Examination (IPE) data by CCR model in Data Envelopment Analysis for the Andhra Pradesh state district wise. To see the Technical efficiency Performance of the districts in Andhra Pradesh state prior to the division of state. The Performance of the districts is presented along with the Peer , Reference set , potential improvements and Technical efficiency Performance of the state by CCR Model in Data Envelopment Analysis and also based on the reference set and peer weight, we can express the input and output values of in efficient districts needed to bring in to efficient status.

  Key-Words / Index Term
  CCR Model, Data Envelopment Analysis , Performance, Peers, Potential Improvement, Technical Efficiency

  References
  [1] Rutter , M. & Maughan B., ‘‘ School effectiveness findings 1970-2002 ’’, Journal of School Psychology ,vol.40, No.6, pp.451-475,2002.
  [2] Kwimbere, F.J. , ‘‘ Measuring efficiency in not-for-profit organizations: an attempt to evaluate efficiency in selected UK university departments’’. M.Sc. thesis, School of Management, University of Bath,1987.
  [3] Johnes, J, ‘‘Performance assessment in higher Education in Britain’’, European Journal of Operational Research vol. 2, pp. 18–33,1996.
  [4] M. Goverdhan, Raju Nellutla, V. V Haragopal, ‘‘A Critical Data Envelopment Analysis of Hospital efficiency in India ’’ , International Journal of Scientific Research, Vol-5,issue2,pp.471-475, 2016.
  [5] Raju Nellutla, V. V Haragopal , ‘‘ Technical efficiency Management wise Schools in Secondary School Examinations of Andhra Pradesh State by CCR Model’’ , IOSR Journal of Mathematics, Vol-13,issue1,pp.1-8,2017.
  [6] Raju Nellutla, V. V Haragopal, ‘‘ Performance of Management Schools in Secondary School Examinations of Andhra Pradesh State by Data Envelopment Analysis’’, International Journal of Scientific Research, Vol-4,issue9,pp.179-182,2015.
  [7] Pina ,V., Y Torres , L.,‘‘Analyse through DEA Teaching activity of the Account Department’’, in Spanish Public University,1995.
  [8] Subramanyam, T., and C.S Reddy , ‘‘Measuring the Risk Efficient in Indian Commercial Banking –DEA approach’’ , East West Journal of Economics and Business, Vol XI(1&2) 76-105,2008.
  [9] Raju Nellutla, V. V. Haragopal, ‘‘Data Envelopment Analysis of SSC Public Examinations 2009 -2011 of Andhra Pradesh’’ , Global Journal for Research Analysis, vol -4,issue 7,pp.141-144,2015.
  [10] Banker, R.D., R.F. Charnes, & W.W. Cooper ,‘‘Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis’’, Management Science vol. 30, pp. 1078–1092, 1984.
  [11] Charnes, A , W. Cooper, &E., Rhodes , ‘‘Measuring the Efficiency of decision making units’’, European Journal of Operational Research vol. 2, pp. 429–444,1978.
  

  Citation
  Raju Nellutla, M. Goverdhan, V.V. Haragopal, "Measuring the Technical Efficiency of Decision Making Units by CCR Model in Data Envelopment Analysis," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.54-60, 2018

• Open Access   Article

  A Unified Theory of Irresolute Multifunction

  D. Sheeba and N. Nagaveni

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.61-65, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.6165

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper, A unified theory of irresolute multifunction such as an upper and lower m_wg-irresolute multifunction are studied and which is a generalisation of both irresolute multifunction and m-irresolute multifunction. Also, we unified some of its characterizations in Minimal Structures.

  Key-Words / Index Term
  Upper / Lower m_wg-irresolute multifunction, m_wg- normal space, m_wg-compact space, graph function and Minimal structures.

  References
  [1]. J. Cao and I. L. Reilly, “⍺-Continuous and ⍺-Irresolute Multifunctions”, Mathematica Bohemica, Vol-121, No. 4, 415 - 424, 1996.
  [2]. M. Mocanu, “On m-Compact spaces”, Rendiconti Del Circolo Matematico Di Palermo, Series II, Tomo LIII 1-26, 2005.
  [3]. M. E. Abd El-Monsef and A. A. Nasef, “On Multifunctions”, Chaos, Solitons & Fractals, 12, 2387 - 2394, 2001.
  [4]. N. Nagaveni and P. Sundaram “On weakly generalized continuous maps, weakly generalized closed maps and weakly generalized irresolute maps in topological spaces”, Far East J. of Math. Sci. Vol-6, No. 6, 903 - 912, 1998.
  [5]. T. Noiri and V. Popa, “Almost weakly continuous multifunctions”, Demonstratio Math., Vol-26, 393 - 380, 1993.
  [6]. T. Noiri and V. Popa, “On Upper and Lower M -Continuous Multifunctions”, Filomat, Vol-14, 73 - 86, 2000.
  [7]. T.Noiri and V. Popa, “On m-quasi Irresolute Multifunctions”, Mathematica Moravica, Vol-9, 25 - 41, 2005.
  [8]. R. Parimelazhagan, K. Balachandran and N. Nagaveni, “Weakly generalized closed sets in Minimal Structures”, Int. J. Contemp. Math. Sciences, Vol-4, No.27, 1335 -1343, 2009.
  [9]. V. Popa, “Irresolute Multifunction”, Int. J. Math. & Math. Sci., Vol-13, No.2, 275 - 280, 1990.
  [10]. D. Sheeba and N. Nagaveni, “On Minimal Topological Totally Closed Graphs”, Annals of pure and applied mathematics, Vol-16, No.2, 401 - 411, 2018.
  [11]. D. Sheeba and N. Nagaveni, “Multifunction with Topological Closed Graphs”, Journal of Computer and Mathematical Sciences, Vol-9, No.5, 373 - 383, May 2018.
  

  Citation
  D. Sheeba and N. Nagaveni, "A Unified Theory of Irresolute Multifunction," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.61-65, 2018

• Open Access   Article

  A new Size Biased Distribution with applications in Engineering and Medical Science

  A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para and T.R. Jan

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.66-76, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.6676

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper, we proposed a new probability model called as Size Biased Ailamujia Distribution (SBAD). Structural properties of this new distribution are discussed comprehensively. Parameter estimation along with simulation study is also discussed thoroughly. Finally, the model is examined with real life data sets for significance purpose.

  Key-Words / Index Term
  Size biased distribution, Reliability, MLE, Simulation

  References
  [1]. Abouammoh, A.M., Ahmed, R. and Khalique, A. (2000). On new renewal better than used classes of life distribution. Statistics and Probability Letters, 48, 189-194.
  [2]. Ayesha, A. (2017). Size Biased Lindley Distribution and Its Properties a Special Case of Weighted Distribution. Applied Mathematics, 08(06), 808-819.doi:10.4236/am.2017.86063
  [3]. Das, K. K., and Roy, T. B. (2011). Applicability of Length Biased Weighted Generalized Rayleigh Distribution, Advances in Applied Science Research, 2011, 2 (4), 320-327.
  [4]. Gove, J. H. (2003). Environmental and Ecological Statistics, 10(4), 455-467. doi:10.1023/a:1026000505636
  [5]. Lawless JF (2003) Statistical models and methods for lifetime data. John Wiley and Sons, New York, USA.
  [6]. Lv H. Q., Gao L. H., Chen C. L. (2002). Эрланга distribution and its application in supportability data analysis. Journal of Academy of Armored Force Engineering, 16(3): 48-52.
  [7]. Patil, G.P. and Ord, J.K. (1976) On size-biased sampling and related form-invariant weighted distributions. Sankhya, Series B, 38(1), 48-61.
  [8]. Rama Shankar (2017), A Size-Biased Poisson-Shanker Distribution and Its Applications. International Journal of Probability and Statistics,6(3):33-44
  [9]. Shanker, R., & Shukla, K. K. (2018). A Generalized Size-Biased Poisson-Lindley Distribution and Its Applications to Model Size Distribution of Freely-Forming Small Group. Journal of Scientific Research, 10(2), 145. doi:10.3329/jsr.v10i2.34905
  [10]. Warren, W. G. (1975). Statistical Distributions in Forestry and Forest Products Research. A Modern Course on Statistical Distributions in Scientific Work, 369-384. doi:10.1007/978-94-010-1845-6_27
  

  Citation
  A.A. Rather,C. Subramanian, S. Shafi, K.A. Malik, P.J. Ahmad, B.A. Para and T.R. Jan, "A new Size Biased Distribution with applications in Engineering and Medical Science," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.66-76, 2018

• Open Access   Article

  A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution

  S. Rajagopal, K. Vijayadevi

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.77-94, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.7794

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this article, a hybrid group acceptance sampling plan (HGASP) is introduced for a truncated life test when the lifetime of an item follows transmuted rayleigh distribution. For specified consumer’s risk, test termination time and group size, the minimum number of testers and acceptance number are determined. The operating characteristic values according to various quality levels are presented. The minimum ratios of the true average life to the specified life at the specified producer’s risk are also found. The results are explained with examples. A comparative study of proposed hybrid group acceptance sampling plan based on transmuted rayleigh distribution with existing hybrid group acceptance sampling plan based on transmuted exponential distribution is also performed.

  Key-Words / Index Term
  Transmuted Rayleigh Distribution, Hybrid Group Acceptance Sampling Plan (HGASP), Consumer’s risk, Operating characteristics (OC), Producer’s risk, Truncated Life Test.

  References
  [1] Aslam, M., “Double Acceptance Sampling Based on Truncated Life Tests in Rayleigh Distribution”, European Journal of Scientific Research, 17(4), PP.605-611, 2007.
  [2] Aslam, M., and Jun, C.- H., “A Group Acceptance Sampling Plans for Truncated Life Tests Based on the Inverse Rayleigh and Log-Logistic Distributions”, Pakistan Journal of Statistics, 25, PP.107-119, 2009.
  [3] Baklizi, A., “Acceptance Sampling Based on Truncated Life Tests in the Pareto Distribution of the Second kind”, Advances and Applications in Statistics, 3(1), PP.33-48, 2003.
  [4] Epstein, B., “Truncated Life Tests in the Exponential Case”, Annals of Mathematical Statistics, 25, PP.555-564, 1954.
  [5] Faton Merovci., “Transmuted Rayleigh Distribution”, Austrian Journal of Statistics, Volume 42, Number 1, PP.21-31, 2013.
  [6] Goode, H.P., and Kao, J.H.K., “Sampling Plans Based on the Weibull Distribution”, Proceeding of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, PP.24-40, 1961.
  [7] Srinivasa Rao, G., “A Group Acceptance Sampling Plans for Lifetimes Following a Generalized Exponential Distribution”, Economic Quality Control, 24(1),PP.75-85, 2009.
  [8] Srinivasa Rao, G., “A Group Acceptance Sampling Plans for Truncated Life Tests for Marshall-Olkin Extended Lomax Distribution”, Electronic Journal of Applied Statistical Analysis, 3(1), pp.18-27, 2010.
  [9] Srinivasa Rao, G., “A Hybrid Group Acceptance Sampling Plans for Lifetimes Based on Generalized Exponential Distribution”, Journal of Applied Sciences, 11(12): PP. 2232-2237, 2011.
  [10] Subba Rao, R., Naga Durgamamba, A., Kantam, R.R.L., “Hybrid Group Acceptance Sampling Plan Based on Size Biased Lomax Model”, Mathematics and Statistics, 2(3): PP. 137-141, 2014.
  

  Citation
  S. Rajagopal, K. Vijayadevi, "A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Transmuted Rayleigh Distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.77-94, 2018

• Open Access   Article

  Regression Analysis involving Circular Response and Circular Explanatory Variable

  S. Bhattacharjee, K.K. Das

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.5 , Issue.4 , pp.95-99, Aug-2018

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.9599

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  In this paper, two regression models predicting a circular response from a circular predictor are discussed and a new measure for model comparison is introduced. A circular observation is the one which arises in terms of angles. In the first model, the expected value of the response is modeled in terms of Fourier series expansion of the circular predictor whereas the second model consists in minimizing the least circular distance (LCD) between the actual and predicted values of the response. The application of the regression models is exhibited through a data set on wind directions, measured during morning and evening at Silchar Meteorological observatory, Assam, in the Post Monsoon season, wherein the wind direction measured during the evening is modeled as a function of the wind direction measured during the morning. It is found that the wind direction during the evening is not changing significantly with respect to that during the morning. Also, the proposed measure for model comparison shows that the conditional regression model is a better fitting comparison to the LCD regression model.

  Key-Words / Index Term
  Regression, circular response, circular predictor, model comparison

  References
  [1] J.S. Rao, A. Sengupta, “Topics in Circular Statistics”, World Scientific Publishing Co. Pte. Ltd, Singapore, pp.187-195, 2001.
  [2] K.V. Mardia, P.E. Jupp, “Directional Statistics”, John Wiley and Sons Ltd., Chichester, pp.13, 2000.
  [3] S.R. Jammalamadaka, U.L. Lund, “The effect of wind direction on ozone levels: a case study”. Environmental and Ecological Statistics, Vol.13, pp.287–298, 2006.
  [4] L.P. Rivest, “A decentred predictor for circular–circular regression”. Biometrika, Vol.84, pp.717-726 , 1997.
  [5] T.D. Downs, K.V. Mardia, “Circular regression”. Biometrika, Vol.89, pp.683-697, 2002.
  [6] S. Kato, K. Shimizu, G.S. Shieh, “A circular-circular regression model”, Statistica Sinica, Vol.18, pp.633-645, 2008.
  [7] S.R. Jammalamadaka, Y.R. Sarma, “Circular Regression”. In: Matusita, K. (Ed.), Statistical Sciences and Data Analysis. VSP, Utrecht, pp.109-128, 1993.
  [8] U. Lund, “Least circular distance regression for directional data”, Journal of Applied Statistics, Vol.26, Issue.6, pp.723–733, 1999.
  [9] N. Fisher, “Statistical Ananlysis of Circular Data”, Cambridge University Press, Cambridge, pp.151, 1993.
  [10] S.R. Jammalamadaka, Y.R. Sarma, “A correlation coefficient for angular variables”, Statistical Theory and Data Analysis, Vol.2, pp. 349–364, 1988.
  [11] U. Lund, C. Agostinelli, “Circstats: circular statistics, from "topics in circular statistics"”. R package version 0.2–4. Available from http://www.cran.r-project.org/package=circstats, 2012.
  [12] U. Lund, C. Agostinelli, “Circular: circular statistics”. R package version 0.4–7, Available from http://www.cran.r-project.org/package=circular, 2013.
  

  Citation
  S. Bhattacharjee, K.K. Das, "Regression Analysis involving Circular Response and Circular Explanatory Variable," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.95-99, 2018