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Order acceptance and scheduling decisions arise when the limited production capacity entails a manufacturer to select among incoming orders. In this paper, we consider an order acceptance and scheduling problem in a single machine environment where the orders are processed without preemption and a sequence dependent setup time is incurred between processing of every consecutive order. The probl...

In this study, a novel redox-responsive hyperbranched poly(amido amine) (named PCD) was synthesized and used as a cationic polymer to form a ternary complex with small interfering RNA (siRNA) and hyaluronic acid (HA) for siRNA delivery. Here, it is hypothesized that different mixing orders result in different assembly structures, which may affect the siRNA delivery efficiency. To investigate th...

We will study monomial ideals I in the exterior algebra as well as in the polynomial ring whose generic initial ideal is constant for all term orders up to permutations of variables. First, in the exterior algebra, we determine all graphs and all flag complexes whose exterior face ideal satisfies the above condition. Second, in the polynomial ring, it will be shown that the generic initial idea...

In the paper, the authors establish integral representations of some functions related to the remainder of Burnside’s formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions. 1. Motivation and main results A function f is said to be completely monotonic on an interval I if f ha...

Synonyms Indices i = orders j = productstock tanks s = products k = components l = component tanks n = event points Sets I = orders Ij = orders which can be performed in productstock tank j Is = orders which order product s J = productstock tanks Ji = productstock tanks which are suitable for performing order i Js = productstock tanks which can store product s N = event points within the time h...

let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))