This article offers a comparative study of maximizing and modelling production costs by means of composite triangular fuzzy and trapezoidal FLPP. It also outlines five different scenarios of instability and has developed realistic models to minimize production costs. Herein, the first attempt is made to examine the credibility of optimized cost via two different composite FLP models, and the results were compared with its extension, i.e., the trapezoidal FLP model. To validate the models with real-time phenomena, the Production cost data of Rail Coach Factory (RCF) Kapurthala has been taken. The lower, static, and upper bounds have been computed for each situation, and then systems of optimized FLP are constructed. The credibility of each model of composite-triangular and trapezoidal FLP concerning all situations has been obtained, and using this membership grade, the minimum and the greatest minimum costs have been illustrated. The performance of each composite-triangular FLP model was compared to trapezoidal FLP models, and the intense effects of trapezoidal on composite fuzzy LPP models are investigated.

In this paper the differential quadrature method, using cubic B-spline basis function is applied to get numerical solution for the unsteady flow of two immiscible micro polar and Newtonian fluids through a horizontal channel. This numerical technique is not only subsequently easy to enforce but also inexpensive in phrases of data complexity. The two immiscible micro-polar and Newtonian fluids were taken into account as combined partial differential equations. For fluid velocity and micro rotation regarding different fluid parameter sets, empirical outcomes are obtained. The analysis of results is discussed in three situations, with constant, periodic and decreasing pressure gradient. The effects of admissible fluid parameters i.e. Reynolds number, ratio of viscosities, micro polarity parameter and time on fluid velocities, micro rotation and volume flow rate have been illustrated through graphs. The outcomes in terms of volume flow rate across the channel for fluid velocities with different fluid parameters are addressed.