Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Masking Primal and Dual Models for Data Privacy in Network Revenue
  Management   We study a collaborative revenue management problem where multiple
decentralized parties agree to share some of their capacities. This
collaboration is performed by constructing a large mathematical programming
model available to all parties. The parties then use the solution of this model
in their own capacity control systems. In this setting, however, the major
concern for the parties is the privacy of their input data along with their
individual optimal solutions. We first reformulate a general linear programming
model that can be used for a wide-range of network revenue management problems.
Then, we address the data-privacy concern of the reformulated model and propose
an approach based on solving an equivalent data-private model constructed with
input masking via random transformations. Our main result shows that after
solving the data-private model, each party can safely access only its own
optimal capacity control decisions. We also discuss the security of the
transformed problem in the considered multi-party setting. We conduct
simulation experiments to support our results and evaluate the computational
efficiency of the proposed data-private model. Our work provides an analytical
approach and insights on how to manage shared resources in a network problem
while ensuring data privacy. Constructing and solving the collaborative network
problem requires information exchange between parties which may not be possible
in practice. Including data-privacy in decentralized collaborative network
revenue management problems with capacity sharing is new to the literature and
relevant to practice.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol