in this paper, a single machine sequencing problem is considered in order to find the sequence of jobs minimizing the sum of the maximum earliness and tardiness with idle times (n/1/i/etmax). due to the time complexity function, this sequencing problem belongs to a class of np-hard ones. thus, a special design of a simulated annealing (sa) method is applied to solve such a hard problem. to comp...

The goal of this article is to examine the effectiveness of “for-loop” and “while-loop” statements on SCMPDS by insert sort. In this article, first of all, we present an approach to compute the execution result of “for-loop” program by “loop-invariant”, based on Hoare’s axioms for program verification. Secondly, we extend the fundamental properties of the finite sequence and complex instruction...

Ocular inserts are sterile preparations, with a thin, multilayered, drugimpregnated, solid or semisolid consistency devices placed into cul-de-sac or conjunctiva sac. They are usually made up of polymeric vehicle containing drug. Ocular drug delivery is one of the most fascinating and challenging tasks being faced by the Pharmaceutical researchers. One of the major barriers of ocular medication...

Many algorithms involve a search, and they typically require two types of test: one test checks for the element being searched for, and another test is required to check the search remains within the bounds of the data structure being searched. Both of these tests can be combined into one by using a so-called sentinel. In particular, sentinels can be used in insert sort algorithms to make them ...

Using tools of nonequilibirum mechanics, we study a model of self-propelled hard rods on a substrate in two dimensions to quantify the interplay of self-propulsion and excluded-volume effects. We derive of a Smoluchowski equation for the configurational probability density of self-propelled rods that contains several modifications as compared to the familiar Smoluchowski equation for thermal ro...

The time evolution equation of motion and shape are derived for a self-propelled droplet driven by a chemical reaction. The coupling between the chemical reaction and motion makes an inhomogeneous concentration distribution as well as a surrounding flow leading to the instability of a stationary state. The instability results in spontaneous motion by which the shape of the droplet deforms from ...

Motility-induced phase separation (MIPS) arises generically in fluids of self-propelled particles when interactions lead to a kinetic slowdown at high densities. Starting from a continuum description of scalar active matter akin to a generalized Cahn-Hilliard equation, we give a general prescription for the mean densities of coexisting phases in flux-free steady states that amounts, at a hydrod...