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This paper develops an analytical model which allows for an easy computation of near optimal terminal-to-terminal cycle length of a demand responsive feeder service to maximize service quality provided to customers, defined as the inverse of a weighted sum of waiting and riding times.
In this approach, the latter equations are introduced in the algorithm primarily for an easy computation of the pressure from the equation of state, and are derived so as to ensure a consistent modeling of the energy equation near the interfaces where two or more fluid components are present in a grid cell, and also the fulfillment of the mass equation in the other single component regions.
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Q_{\tiny SGP}$$\end{document} Q S G P has a simple physical interpretation and an easy computation, but it is useful for planar grasps only.
Since (4.30) implies and for some and small, an easy computation implies that (4.31).
Then, by an easy computation, we get Lemma 2.3.
On the other hand an easy computation shows that (2.11).
Therefore, (13) is really a symplectic system for λ ∈ R, and to verify (5) and (6) with n = 3, 4 is a matter of an easy computation.
We have that is correctly defined and an easy computation shows that the pair satisfies.
By an easy computation we check that then the left-hand inequality in (2.35) holds.
In this case, an easy computation shows that the Markov chain is reversible.
An easy computation leads to.
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Justyna Jupowicz-Kozak
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