The drawbacks to multivariate charting schemes is their inability to identify which variable was the source of the signal. The multivariate exponentially weighted moving average (MEWMA) developed by Lowry, et al (1992) is an example of a multivariate charting scheme whose monitoring statistic is unable to determine which variable caused the signal. In this paper, the run length performance of m...

in statistical quality control a very widely used measure is average run length (arl) which may be worked out by different methods like integral equation, approximations, and monte carlo simulations. the arl measure and the other related measures are of major significance in every type of production process. an omission in its computation (and hence its related measures such as extra quadratic ...

in many industrial and non-industrial applications the quality of a process or product is characterized by a relationship between a response variable and one or more explanatory variables. this relationship is referred to as profile. in the past decade, profile monitoring has been extensively studied under the normal response variable, but it has paid a little attention to the profile with the ...

Minimizing the Average Path Length (APL) in a BDD reduces the time needed to evaluate Boolean functions represented by BDDs. This paper describes an efficient heuristic APL minimization procedure based on BDD variable reordering. The reordering algorithm is similar to classical variable sifting with the cost function equal to the APL rather than the number of BDD nodes. The main contribution of...

In this paper we introduce a deenition of search trees for resolution based proof procedures. This deenition describes more clearly the diierences between the restrictions of resolution. Applying this concept to monotone restrictions of the resolution it is shown that the average proof length for propositional formulas is at most four times as large as for unrestricted resolution. The search tr...

A method to achieve the preference towards longer products during PCR is described. The extent of this preference can be adjusted by slight variation of the PCR conditions. Being combined with the natural tendency of PCR to amplify shorter fragments more efficiently than longer ones, it allows one to regulate the average length of the complex PCR product over a very wide range to make it most s...

With the help of recursion relations derived from the self-similar structure, we obtain the solution of average path length, d[over ]_(t) , for Apollonian networks. In contrast to the well-known numerical result d[over ]_{t} proportional, variant(ln N_(t));(3/4) [J. S. Andrade, Jr., Phys. Rev. Lett. 94, 018702 (2005)], our rigorous solution shows that the average path length grows logarithmical...

We present a new iterative mathematical model for calculating the average bandwidth assigned to traffic flows using a Weighted Round Robin with Priority queuing (WRRPQ) scheduler with both strict and rate controlled priority in IP based NGN networks. The bandwidth assignment estimation is based on the average packet length, link speed and the arrival rate. We prove the model outcome with exampl...

Passive forces in sarcomeres are mainly related to the giant protein titin. Titin's extensible region consists of spring-like elements acting in series. In skeletal muscles these elements are the PEVK segment, two distinct immunoglobulin (Ig) domain regions (proximal and distal), and a N2A portion. While distal Ig domains are thought to form inextensible end filaments in intact sarcomeres, prox...