In this article, multiple-product PVRP with pickup and delivery that is used widely in goods distribution or other service companies, especially by railways, was introduced. A mathematical formulation was provided for this problem. Each product had a set of vehicles which could carry the product and pickup and delivery could simultaneously occur. To solve the problem, two meta-heuristic methods...

binary decision diagram (bdd) is a data structure proved to be compact in representation and efficient in manipulation of boolean formulas. using binary decision diagram in network reliability analysis has already been investigated by some researchers. in this paper we show how an exact algorithm for network reliability can be improved and implemented efficiently by using cudd - colorado univer...

in this paper, we consider an arbitrary binary polynomial sequence {a_n} and then give a lower triangular matrix representation of this sequence. as main result, we obtain a factorization of the innite generalized pascal matrix in terms of this new matrix, using a riordan group approach. further some interesting results and applications are derived.

almcm-41 was applied for adsorption of methylene blue (mb) and auramine (au) in single and binary component systems. in the single component systems, almcm-41 represents higher adsorption capacity for mb than au with the maximal adsorption capacity of 2.07×10−4 and 1.15×10−4 mol/g at 25 ˚c for mb and au, respectively. in the binary component system, mb and au exhibit competitive adsorption onto...

in this study, the densities, excess molar volumes and partial molar volumes of four binary systems containing n,n-dimethyl acetamide (dmac) with 1-alkanols (1-butanol up to 1-heptanol) are measured at 298.15 k. the results showed both constructive and expansive excess volumetric behavior for studying binary mixtures. deviation values of heavy alcohol have more positive and less negative excess...

introduction: telomeric repeat amplification protocol assay (trap assay) is a standard established technique to detect the activity (expression) of telomerase in the cancerous samples. it includes a time-consuming procedure that has significant drawbacks such as high cost, complicacy, time-consuming procedure, equipment-dependent steps and false-positive signals caused by inclusion of pcr insid...

‎let $g$ be a graph with vertex set $v(g)$ and edge set $x(g)$ and consider the set $a={0,1}$‎. ‎a mapping $l:v(g)longrightarrow a$ is called binary vertex labeling of $g$ and $l(v)$ is called the label of the vertex $v$ under $l$‎. ‎in this paper we introduce a new kind of graph energy for the binary labeled graph‎, ‎the labeled graph energy $e_{l}(g)$‎. ‎it depends on the underlying graph $g$...

Binary-system capillary electrophoresis (CE) with head-column field-amplified sample stacking permits determination of amiodarone and desethylamiodarone in 20-microL serum samples. The assay is characterized by a detection limit for both compounds of 80 nmol/L and by excellent linear response over the recommended therapeutic range for amiodarone (1.5-4 mumol/L). Intra- and interday reproducibil...