Queueing Theory (Fall 2010) Final Homework (Due Day: 2011/1/17)
1. Consider the following closed queueing network (Figure 1) with only two customers; find P(k1,k2,k3) explicitly in terms of .
Figure 1 2. Persons arrive at a Xerox machine according to a Po

Optical Properties of Materials
Chapter 1 HW (due: 10/16)
Please read Optical Properties of Solids second Ed. Chapter 1, Chapter 2 and
Appendix A carefully!
1. Use the data in Table 1.4 of Text Book Optical Properties of Solids 2nd Ed. to
calculate the ra

Optical Properties of Materials
HW 2 (due: 11/6)
1. Try to use Gradient of Cartesian and Spherical coordination to prove the following
transformation:
cos cos
sin
sin cos
x
r
r
r sin
cos sin
cos
sin sin
y
r
r
r sin
sin
cos
z
r
r
2. Prov

Optical Properties of Materials
HW 3 (due: 11/20)
1. (a) Calculate and plot following characteristic equation of Kronig-Penney model
for 1-D periodic potential system as function of (a) for P = 5/2 and 13/2.
P
sin(a ) cos(a ) cos( ka )
a
mV 0 ab
where the