Petroleum companies have great interest in developing their countries through improving their resources to be more competitive. They are also trying to maintain a high level of responsiveness to achieve agility and to remain competitive in the global marketplace especially after instability of oil prices and global financial crisis. Agile systems (AS) is considered as the next industrial revolu...

Given a distribution G over labeled bipartite (multi) graphs, G = (W; M; E) where jWj = jMj = n, let L(n) denote the size of the largest planar matching of G (here W and M are posets drawn on the plane as two ordered rows of nodes, an upper and a lower one, and a (w; m) edge is drawn as a straight line between w and m). The main focus of this work is to understand the asymptotic (in n) behavior...

The length is(w) of the longest increasing subsequence of a permutation w in the symmetric group Sn has been the object of much investigation. We develop comparable results for the length as(w) of the longest alternating subsequence of w, where a sequence a, b, c, d, . . . is alternating if a > b < c > d < · · · . For instance, the expected value (mean) of as(w) for w ∈ Sn is exactly (4n + 1)/6...

We investigate the probability distribution of the length of the second row of a Young diagram of size N equipped with Plancherel measure. We obtain an expression for the generating function of the distribution in terms of a derivative of an associated Fredholm determinant, which can then be used to show that as N → ∞ the distribution converges to the Tracy-Widom distribution [TW] for the secon...

The authors consider the length, lN , of the length of the longest increasing subsequence of a random permutation of N numbers. The main result in this paper is a proof that the distribution function for lN , suitably centered and scaled, converges to the Tracy-Widom distribution [TW1] of the largest eigenvalue of a random GUE matrix. The authors also prove convergence of moments. The proof is ...

We show that a wide variety of generalized increasing subsequence problems admit a one parameter family of extensions for which we can exactly compute the mean length of the longest increasing subsequence. By the nature of the extension, this gives upper bounds on the mean in the unextended model, which turn out to be asymptotically tight for all of the models that have so far been analyzed. A ...

In competitive environments agility is emerging as an important determinant of success. Despite the widely accepted importance of agility there has been paucity in research on this construct, especially the customer’s perspective of agility. Rise of digital natives together with growth of ubiquitous information systems has changed the way firms engage with their customers. Firms are finding it ...

Organizational agility is a key factor for survival and success in today’s global, interconnected and turbulent business environment. Mobile technology, due to its anywhere, anytime characteristics, can be a promising tool for enhancing organizational agility. Yet there are no studies that guide organizations in leveraging mobile technology for improving speed and responsiveness to market needs...

A company’s ability to change increasingly depends on the ability to change its IT, something referred to as “IT-agility” here. High IT-agility can contribute to increased business agility and thus create a competitive advantage. In this paper we focus on the IT application systems landscape, a resource of significant importance for the IT-agility and competitiveness of a company. To manage IT-...