Assembly lines are one of the cornerstones modern production systems, significantly affecting global society, economy, and other ancillary sectors. This is why evaluation assembly particularly significant. Hence, research on modeling approaches presented in this paper, yielding an efficient mathematical tool that enables steady-state performance at low CPU cost. First, analytical model transiti...

Abstract This research article examines the correctness of two new analytical methods for solving internal solitary waves shallow seas. To get computational solutions to positive (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili model, extended simplest equation and modified Kudryashov are used. Numerous traveling wave in various forms developed order assess starting conditions required variat...

Abstract Proppant is one of the major elements a hydraulic fracture process that can influence productivity an oil or gas well. The permeability propped may be determined through laboratory measurements, utilizing experimental relationships, using analytical methods. All methods have their advantages and disadvantages, this study attempts to offers solution combines various achieve practical so...