iosr-Jm   Volume-20 ~ Issue-6 ~ Nov. – Dec. 2024

Abstract : This paper deal with optimizing palm oil production of a production firm in Nigeria using balanced Transportation problem in other to reduce or increase/ minimize the production cost and increase or maximize production, profit and efficiency. Here the scheduling challemnge is developed and modeled as a balanced of transportation problem as requires in creation of an optimum production schedule. This resulted in allocating optimal and maximum production level such that the given demand were meet at a minimum cost

Key words: Optimal, Scheduling, Production, Maximize, Minimize, Transportation.

[1] Guo, H., Chen, M., Mohamed, K., Qu, T., Wang, S., And Li, J. (2021). A Digital Twin-Based Flex-Ible Cellular Manufacturing
For Optimization Of Air Conditioner Line. Journal Of Manufacturing Systems, 58:65–78
[2] Aldino, A. A. And Ulfa, M. (2021). Optimization Of Lampung Batik Production Using The Sim-Plex Method. Jurnal Ilmu
Matematika Dan Terapan, 15(2):297–304.
[3] Rayamajhee, V., Storr, V. H., And Bohara, A. K. (2022). Social Entrepreneurship, Co-Production, And Post-Disaster Recovery.
Disasters, 46(1):27–55.
[4] Dantzig, G.B. And P. Wolfe, 1951. Decomposition Principle For Linear Programming. J. Oper. Res., 8: 101-111.
[5] Gannt, H.L., 1973. Work, Wages And Profits. Hive Publishing, New York..

Abstract : Trend analysis forms the backbone of studies related to financial markets as they give investors and market participants insights into expected market behavior, aiding in investment decisions. This paper compares two methods for determining financial trends: Moving Averages (MAs) and Polynomial Regression (PR). Widely used technical indicators like Simple Moving Averages (SMA) and Exponential Moving Averages (EMA) are popular due to their ease of understanding and effectiveness in smoothing price data by removing noise. Although simpler models like.....

[1] Brock, W., Lakonishok, J., & Lebaron, B. (1992). Simple Technical Trading Rules And The Stochastic Properties Of Stock Returns. Journal Of Finance, 47(5), 1731-1764.
[2] Fama, E. F., & Blume, M. E. (1966). Filter Rules And Stock-Market Trading. Journal Of Business, 39(1), 226-241.
[3] Jensen, M. C., & Benington, G. A. (1970). Random Walks And Technical Theories: Some Additional Evidence. Journal Of Finance, 25(2), 469-482.
[4] Murphy, J. J. (1999). Technical Analysis Of The Financial Markets: A Comprehensive Guide To Trading Methods And Applications. New York Institute Of Finance.
[5] Pring, M. J. (2002). Technical Analysis Explained: The Successful Investor's Guide To Spotting Investment Trends And Turning Points. Mcgraw-Hill.

Abstract : The general theory of relativity's outcome, the Friedmann equation, captures the universe's dynamics in cosmological terms. This equation provides a geometrical description of the expansion of the cosmos based on the concepts of field theory. The Friedmann equation states that the vacuum energy density, the curvature of space, the density of matter and energy, and the cosmological constant all have an effect on the Hubble parameter, which represents the rate of expansion of the universe. The outcome of the universe's expansion, standstill, or contraction, as shown by this equation, is highly dependent on these factors.....

Keywords: Friedmann Equation, Cosmological Constant, General Relativity, Redshift of Galaxies

[1]. A. G. Reiss, A. V. Filippenko, P. Challis Et Al., "Observational Evidence From Supernovae For An Accelerating Universe And A Cosmological Constant," The Astrophysical Journal, Vol. 116, No. 3, Pp. 1009–1038, 1998.
[2]. E. Komatsu, K. M. Smith, J. Dunkley Et Al., "Seven-Year Wilkinson Microwave Anisotropy Probe (Wmap) Observations: Cosmological Interpretation," The Astrophysical Journal Supplement Series, Vol. 192, No. 2, P. 18, 2011.
[3]. A. Alho, S. Carloni, And C. Uggla, "On Dynamical Systems Approaches And Methods In F(R) Cosmology," Journal Of Cosmology And Astroparticle Physics, Vol. 2016, No. 8, Pp. 8–33, 2016.
[4]. E. Aubourg, S. Bailey, J. E. Bautista Et Al., "Cosmological Implications Of Baryon Acoustic Oscillation Measurements," Physical Review D, Vol. 92, No. 12, Article 123516, 2015.
[5]. Planck Collaboration, "Planck 2015 Results," Astronomy And Astrophysics, Vol. 594, Article A13, 2016.

Abstract : Adequacy of food supply has a significant effect on the sex ratio of juvenile sea lampreys, which also adjusts to changes in the external environment, influenced by resource availability, position in the food web, and ecological niche. Therefore, it is necessary to pay attention to the effects of changes in sea lampreys' sex ratio on ecosystem interactions. In this paper, we constructed an ecosystem model. We comprehensively analysed the impacts of sea lamprey's sex ratio changes on the ecosystem from the four dimensions of the logistic equation of the population dynamics model, the sex ratio model, the food web model, and the spatio-temporal model1,2,3. The study showed that the sea.....

Keywords: Sea lampreys sex ratio; ecosystems; population dynamics; space heterogeneity; food web equilibrium

[1]. Ivy H. T. Lee,Wenyan Nong,Wai Lok So,Et Al.The Genome And Sex-Dependent Responses To Temperature In The Common Yellow Butterfly, Eurema Hecabe[J].Bmc Biology,2023,21(1):1-15.
[2]. Aparna,Agnieszka Skarzyska,Wojciech Plder,Et Al.Impact Of Climate Change On Regulation Of Genes Involved In Sex Determination And Fruit Production In Cucumber[J].Plants,2023,12(14)
[3]. Marco Graziano,Monica F Solberg,Kevin A Glover,Et Al.Pre-Fertilization Gamete Thermal Environment Influences Reproductive Success, Unmasking Opposing Sex-Specific Responses In Atlantic Salmon (Salmo Salar)[J].Royal Society Open Science,2023,10(12).
[4]. Wei Ou, Changjin Xu, Qingyi Cui, Et Al. Hopf Bifurcation Exploration And Control Techniques In Predator-Prey Systems Considering Time Delay[J]. Mathematics, 2024,9(1).
[5]. Gao Chunxia,Wang Yin,Yang Rui. A Review Of Research On The Stability Of Food Web Structure And Disturbance Response[J]. Journal Of Shanghai Ocean University,2024,33(2):493-508..

Abstract : The purpose of this paper is to introduce a new concept of.....

Keywords: Intuitionistic sets, Intuitionistic topological spaces, 𝔗𝑤̂ 𝑇0- space, 𝔗𝑤̂ 𝑇1- space, 𝔗𝑤̂ 𝑇2- space

[1] Bayhan, S. And Coker, D. 2001, On Separation Axioms In Intuitionistic Topological Spaces, Int. J. Math. Science, Vol. 27, No.10, Pp. 621-630.
[2] Bayhan, S. And Coker, D. 2005, Pairwise Separation Axioms In Intuitionistic Topological Spaces, Hacettepe Journal Of Mathematics And Statistics, Vol. 34, Pp. 101-114.
[3] Coker. D, An Introduction To Intuitionistic Topological Spaces. Busefal. 2000; 81: 51.
[4] Coker, D. 1995, An Introduction To Intuitionistic Topological Spaces, Akdeniz University, Mathematics Department, 07058-Antalya/Turkey.
[5] Coker, D. 2005, Pairwise Separation Axioms In Intuitionistic Topological Spaces, Journal Of Mathematics And Statistics, Vol.34S, Pp. 101-114..

Abstract : Many great success stories tell of great clinical work. They also tell about the patient's approach to treatment. Good care. By serving patients directly, they can better understand the details of the care they receive. Often these stories begin with a patient visiting a large hospital for treatment. Volume of process creates experience, which often translates into greater success. A doctor's willingness to take risks leads to confidence in the choice. Long-term care and patient care: Advertisers can benefit from the skills of professionals who persuade others to buy through recommendations. Doctors often become confidants or friends. Intercultural interaction: When nurses connect....., 𝔗𝑤̂ 𝑇2- space

......

Abstract : This paper evaluates the impact of reward driven remanufacturing policy and pricing schemes on the dual-channel supply chain competition. In the proposed model, a manufacturer sells products both through a retailer and directly to end users in the forward supply chain. In the reverse supply chain, the manufacturer collects used products to remanufacture them into new ones. Mathematical models for the supplier Stackelberg, retailer Stackelberg, Nash game, and centralized scenarios are developed to define pricing decisions and remanufacturing strategies. The optimality of all proposed models is analyzed theoretically.

Keywords: Closed loop dual channel supply chain; Remanufacturing; Reward-driven policy; Stackelberg game; Nash Model

[1] Hua, G., S. Wang, And T. C. E. Cheng. 2010. "Price And Lead Time Decisions In Dual-Channel Supply Chains." European Journal Of Operational Research 205 (1): 113–126
[2] Pathak, U., Kant, R., & Shankar, R. (2022). Modelling Closed-Loop Dual-Channel Supply Chain: A Game-Theoretic Approach To Maximize The Profit. Cleaner Logistics And Supply Chain, 4, 100064.
[3] Kundu, S., & Chakrabarti, T. (2018). Joint Optimal Decisions On Pricing And Local Advertising Policy Of A Socially Responsible Dual-Channel Supply Chain. American Journal Of Mathematical And Management Sciences, 37(2), 117-143.
[4] Chen, J., H. Zhang, Andy. Sun. 2012. "Implementing Coordination Contracts In A Manufacturer Stackelberg Dual-Channel Supply Chain." Omega 40 (5): 571–583.
[5] Ostlin, J., Sundin, E., & Björkman, M. (2008). Importance Of Closed-Loop Supply Chain Relationships For Product Remanufacturing. International Journal Of Production Economics, 115(2), 336-348..

Abstract : In the present paper, we deal with an inventory model for deteriorating items with stochastic demand in which shortages are allowed with fully backlogged. The holding cost follows the linear trended in time. Here rate of deterioration follows a two-parameter Weibull (Swedish engineer Wallodi Weibull) distribution. The demand pattern is assumed to be linearly dependent on to time with a stochastic error. The model is maximized to the total average profit by finding optimal values. The developed model is illustrated by a numerical example and finally the sensitivity analysis for the optimal solutions towards the changes in the values of key parameters has been presented.

Keywords: Inventory, Weibull deteriorating items, stochastic demand, holding cost and shortages

[1] P. M Ghare And G. F. Schrader, “A Model For Exponentially Decaying Inventories”, J. Ind. Eng, 14, 1963, Pp. 238-243. [2] R P Covert And G C Philip, “An Eoq Model For Items With Weibull Distribution Deterioration”, Aiie Trans, 5, 1973, Pp. 323- 326. [3] A. K. Jalan, R R Giri And K S Chaudhuri, “Eoq Model For Item With Weibull Distribution Deterioration, Shortages And Trended Demand”, Int. J. Syst. Sci., 27(9), 1996, Pp. 851-855. [4] Mandal B, "An Eoq Inventory Model For Weibull Distributed Deteriorating Items Under Ramp Type Demand And Shortages," Opsearch, Vol. 47, 2010, Pp. 158-165 [5] Dr. Biswaranjan Mandal, “Optimal Inventory Management For Items With Weibull Distributed Deterioration Under Alternating Demand Rates”, Int. J. Engng. Tech Res., 2(4), 2014, Pp. 359-364.

Abstract : In this paper we characterize the generalisation of contraction in Hilbert space and 𝐶(𝛼)- Suboperator class and establish some new result in the class of 𝐶(𝛼)- Suboperator [1] and its contractive extensions of a 𝐶(𝛼)- Suboperator class in a complex Hilbert space. The characterizations include a quadratic form inequality. The bounded linear operator 𝑇 in complex Hilbert space which satisfy 𝑇 = 𝛽𝐼 +(1 −𝛽)𝑈 where 𝛽 ∈ (0,1) and 𝑈 is a contraction.

Keywords:Contraction, 𝐶(𝛼)- Suboperator, Contractive extension, Sectorial operator, Hilbert space.

[1] Yu. M. Arlinskii, A class of contractions in a Hilbert space, Translated from Ukrainski Matematicheskii zhurnal, vol.39, No.6, (1987), 691-696.
[2] M.M. Malamud, On some classes of extensions of sectorial operators and dual pair of contractions, Operator theory: Advances and appl. 124 (2001), 401-448.
[3] M.G. Crandall, Norm preserving extensions of linear transformation in Hilbert space, Proc. Amer. Math. Soc. 21 (1969), 335-340.
[4] R.G. Douglus, On majorization, factorization and range inclusion of operators in Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413-416.
[5] O. Nevanlinna, Resolvent conditions and powers of operators, Studia math, 145 (2001) 113-14