Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 20.9, Problem 6P
Explanation of Solution
To Prove:
For a machine repair model, prove that
Proof:
A machine repair problem containing “K” machines and “R” repair people is a
The steady state probability at state j is as follows:
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Check out a sample textbook solutionStudents have asked these similar questions
Given two particles with Q = 4.30-µC charges as shown in the figure below and a particle with charge q = 1.39 x 10-18 C at the origin. (Note:
Assume a reference level of potential V = 0 at r = co.)
x = -0.800 m
x = 0.800 m
(a) What is the net force (in N) exerted by the two 4.30-µC charges on the charge q? (Enter the magnitude.)
N
(b) What is the electric field (in N/C) at the origin due to the two 4.30-pC particles? (Enter the magnitude.)
V N/C
(c) What is the electrical potential (in kV) at the origin due to the two 4.30-uC particles?
96.75
V kV
(d) What If? What would be the change in electric potential energy (in J) of the system if the charge g were moved a distance d = 0.400 m
closer to either of the 4.30-µC particles?
Using C language.
In the mechanics of deformable bodies, the following relationships can be used to analyze
uniform beams subject to distributed loads:
dy
dx
0 (x)
M(x)
de
dx EI
dM
dx
dV
dx
=
= V(x)
=
w(x)
Where:
x = distance along the beam
y = deflection
0 = slope
E = modulus of elasticity of the beam
I = moment of inertia of the cross-section of
the beam
M(x) = bending moment at x
V = shear force at x
w(x) = distributed load at x
You measure the following deflections at seven points along the length of a uniform beam:
1.125
1.5
1.875
x [m] 0.375 0.75
-0.2571 -0.9484 -1.9689 -3.2262 -4.6414
y [cm]
Employ 4th-order approximation for derivatives to compute the bending moment (in kNm),
the shear force (in kN), and the distributed load (in kN/m) at the middle or fourth point.
Use the following parameter values in your computation: E = 200 GPa, and I
= 200 GPa, and I = 0.0003 m4.
NOTES:
1. Ask the user for the modulus of elasticity.
2. Ask the user for the moment of inertia.
2.25
2.625…
Solve in matlab
Example:
solve 220 cos² (x) ex dx by Simpson's rule,
and n=200
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