iosr-Jm   Volume-20 ~ Issue-2 ~ Mar. – Apr. 2024

Abstract : The aim of work is to focus on preservation facility. Preservation facility can gain profit for business organisations. Selling price dependent demand and time varying deterioration item is considered in the inventory model. To diminish deterioration rate of the item preservation technology is applied and solved the inventory model. By the consideration of three-parameter Weibull distributed deterioration the problem becomes highly non......

Key Word: Inventory; Preservation Technology; Deterioration; Partial Backlogging; Price Sensitive; PSO

[1]. Das, S. C., Zidan, A. M., Manna, A. K., Shaikh, A. A., & Bhunia, A. K. (2020). An Application Of Preservation Technology In
Inventory Control System With Price Dependent Demand And Partial Backlogging. Alexandria Engineering Journal, 59(3), 1359-
1369.
[2]. Dos Santos Coelho, L. (2010). Gaussian Quantum-Behaved Particle Swarm Optimization Approaches For Constrained Engineering
Design Problems. Expert Systems With Applications, 37(2), 1676-1683.
[3]. Duary, A., Banerjee, T., Shaikh, A. A., Niaki, S. T. A., & Bhunia, A. K. (2021). A Weibull Distributed Deteriorating Inventory
Model With All-Unit Discount, Advance Payment And Variable Demand Via Different Variants Of Pso. International Journal Of
Logistics Systems And Management, 40(2), 145-170.
[4]. Jain, M., Singh, P. Pricing, Prepayment And Preservation Strategy For Inventory Model With Deterioration Using Metaheuristic
Algorithms. Soft Comput 28, 3415–3430 (2024). Https://Doi.Org/10.1007/S00500-023-08637-4
[5]. Mishra, U., Cárdenas-Barrón, L. E., Tiwari, S., Shaikh, A. A., & Treviño-Garza, G. (2017). An Inventory Model Under Price And
Stock Dependent Demand For Controllable Deterioration Rate With Shortages And Preservation Technology Investment. Annals
Of Operations Research, 254, 165-190..

Abstract : In these papers, we study the peristaltic transport of a conducting Newtonian fluid in the wave frame of reference, restricted by permeable walls, with suction and injection flowing at constant wave velocity while taking long wavelength low Reynolds number into account. The frictional force, pressure gradient, and velocity field all have analytical solutions. Graphical discussions are held on the impact of the permeability parameter, including slip, amplitude ratio, and suction/injection parameter on the flow amounts. It has been discovered that the pressure rise against the pump operations decreases with increasing suction/ injection parameter......

Key Word: Peristaltic transport, MHD, Suction and Injection.

[1]. A. H. Shaprio, M. Y. Jaffrin And S. L. Weinberg, Peristaltic Pumping With Long Wavelength At Low Reynolds Number, Journal Of Fluid Mechanics,37,799-825, (1969).
[2]. S. Sreenadh, P. V. Arunachalam, Couette Flow Between Two Permeable Beds With Suction And Injection, Proceeding Of The National Academy Of Sciences,56,229-235, (1986).
[3]. T. Hayat, N. Ali, Peristaltically Induced Motion Of A Mhd Third Grade Fluid In A Deformable Tube, Statistical Mechanics And Its Applications, 370(2),225-239, (2006).
[4]. N. Ali, Q. Hussian, T. Hayat, S. Asghar, Slip Effects On The Peristaltic Transport Of Mhd Fluid With Variable Viscosity, Physics Lettera,372,1477-1489, (2008).
[5]. N. Ali, Y. Wang, T. Hayat, M. Oberlack, Slip Effects On The Peristaltic Flow Of A Third -Grade Fluid In A Circular Cylindrical Tube, Journal Of Applied Mechanics,76(1),011006, (2009).

Abstract : We solved Rosen's bimetric theory of gravitation field equations in order to present the LRS Bianchi type II space-time solution having the magnetic field and with string viscous fluid in this research. The solution was presented using string viscous fluid. It is observed that the magnetic field is with the cosmological origin of the model and it is agreed with Harrison (1973). The small value of the magnetic field originated the universe evolving it with maximum density and ending with zero density. The strong magnetic field ruled out the existence of the universe. The development of the universe has been explored in relation to the model's additional geometrical and physical properties.

[1] Kibble T W B: Topology Of Cosmic Domains And Strings 1976 Journal Of Physics A - Mathematical And General 9 (1976) 1387.
[2] Zel'dovich Ya B: Cosmological Fluctuations Produced Near A Singularity Mon. Not. R. Astrn. Soc. 192 (1980) 663.
[3] Vilenkin, A.: Cosmic Strings, Phys. Rev. D 24 (1981) 2982.
[4] Gott, J.R.: Gravitational Lensing Effects Of Vacuum Strings - Exact Solutions, Astrophys. J. 288 (1985) 422.
[5] Garfinkle, D.: General Relativistic Strings, Phys. Rev. D 32 (1985) 1323..

Abstract : Intra-communal violence perpetrates across various families and factions in a community and this is strongly supported by the undeniable solidarity felt and exhibited by the violent parties for their respective groups. In this research work, we made some assumptions and constructed a deterministic model to study intra-communal violence. Basic mathematical analyses such as the positivity of solutions, the invariant region, the basic reproduction number, and the stability analysis of the model were performed. The analysis revealed that the violent-free equilibrium.....

Keywords: Model, stability analysis, insecurity, threat to life, level of negligence, violent-free equilibrium, globally asymptotically stable

[1] Aderibigbe, F.M. And Apanapudor, J.S. (2014): On The Extended Conjugate Gradient Method (Ecgm) Algorithm For Discrete Optimal Control Problems And Some Of Its Features, Iosr Journal Of Mathematics
[2] Ana, L. And James, Y. "A.(1976). Deterministic Model For Gonorrhea In A Non-Homogeneous Population," Mathematical Biosciences, Vol. 28, Pp. 221–236
[3] Apanapudor, J.S., Okwonu, F.Z.,Maduku, E.O. And Izevbizua, O.(2023): Solvability And Uniqueness Of Solutions Of Two Dimensional Optimization Problems, Fuw Trends In Science And Technology Journal, Www.Ftstjournal.Com, Vol.8, No. 1, Pp. 182 – 187.
[4] Apanapudor, J.S., Akporido, D.K. And Okwonu, F.Z.(2023): On The Generalized Minimum Cost Flow Problem: An Application In Natural Gas Distribution Networks, Fuw Trends In Science And Technology Journal, Www.Ftstjournal.Com, Vol. 8.No. 1, Pp.
[5] Apanapudor, J.S., Okwonu, F.Z., Ahad, N. A. , Ogini, N.O. And Yusuf, Z. M.(2023): Perturbation Analysis And The Solution Of Linear Systems, Aip Conf.Proc. 2896, 030001, Https://Doi.Org/10.1063/5.0179165