Comparative Statics Analysis of Some Operations Management Problems.
Degree: PhD, Industrial and Systems Engineering, 2012, Virginia Tech
We propose a novel analytic approach for the comparative statics analysis of
operations management problems on the capacity investment decision and the
influenza (flu) vaccine composition decision. Our approach involves exploiting
the properties of the underlying mathematical models, and linking those
properties to the concept of stochastic orders relationship. The use of
stochastic orders allows us to establish our main results without restriction
to a specific distribution. A major strength of our approach is that it is
"scalable," i.e., it applies to capacity investment decision problem with any
number of â non-independentâ (i.e., demand or resource sharing) products and
resources, and to the influenza vaccine composition problem with any number of
candidate strains, without a corresponding increase in computational effort.
This is unlike the current approaches commonly used in the operations
management literature, which typically involve a parametric analysis followed
by the use of the implicit function theorem. Providing a rigorous framework
for comparative statics analysis, which can be applied to other problems that
are not amenable to traditional parametric analysis, is our main contribution.
We demonstrate this approach on two problems: (1) Capacity investment
decision, and (2) influenza vaccine composition decision. A comparative
statics analysis is integral to the study of these problems, as it allows
answers to important questions such as, "does the firm acquire more or less
of the different resources available as demand uncertainty increases? does the
firm benefit from an increase in demand uncertainty? how does the vaccine
composition change as the yield uncertainty increases?" Using our proposed
approach, we establish comparative statics results on how the newsvendor's
expected profit and optimal capacity decision change with demand risk and
demand dependence in multi-product multi-resource newsvendor networks; and how
the societal vaccination benefit, the manufacturer's profit, and the vaccine
output change with the risk of random yield of strains.
Advisors/Committee Members: Bish, Ebru K. (committeechair), Bish, Douglas R. (committee member), Haller, Hans H. (committee member), Slonim, Anthony D. (committee member), Wernz, Christian (committee member).
Subjects/Keywords: Comparative Statics Analysis; Capacity Planning; Influenza Vaccine; Yield Uncertainty; Stochastic Programming; Game-theoretic Model; Stochastic Orders
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APA (6th Edition):
Zeng, X. (2012). Comparative Statics Analysis of Some Operations Management Problems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/39178
Chicago Manual of Style (16th Edition):
Zeng, Xin. “Comparative Statics Analysis of Some Operations Management Problems.” 2012. Doctoral Dissertation, Virginia Tech. Accessed September 19, 2020.
MLA Handbook (7th Edition):
Zeng, Xin. “Comparative Statics Analysis of Some Operations Management Problems.” 2012. Web. 19 Sep 2020.
Zeng X. Comparative Statics Analysis of Some Operations Management Problems. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Sep 19].
Available from: http://hdl.handle.net/10919/39178.
Council of Science Editors:
Zeng X. Comparative Statics Analysis of Some Operations Management Problems. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/39178