Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Framework for the Joint Optimization of Assignment and Pricing in
  Mobility-on-Demand Systems with Shared Rides   Mobility-on-Demand (MoD) systems have become a fixture in urban
transportation networks, with the rapid growth of ride-hailing services such as
Uber and Lyft. Ride-hailing is typically complemented with ridepooling options,
which can reduce the negative externalities associated with ride-hailing
services and increase the utilization of vehicles. Determining optimal policies
for vehicle dispatching and pricing, two key components that enable MoD
services, are challenging due to their massive scale and online nature. The
challenge is amplified when the MoD platform offers exclusive (conventional
ride-hailing) and shared services, and customers have the option to select
between them. The pricing and dispatching problems are coupled because the
realized demand depends on the quality of service (i.e., whom to share rides
with) and the prices for each service type. We propose an integrated and
computationally efficient method for solving the joint pricing and dispatching
problem -- both when the problem is solved one request at a time or in batches
(a common strategy in the industry). The main results of this research include
showing that: (i) the sequential pricing problem has a closed-form solution
under a multinomial logit (MNL) choice model, and (ii) the batched pricing
problem is jointly concave in the expected demand distributions. To account for
the spatial evolution of supply and demand, we introduce so-called
retrospective costs to retain a tractable framework. Our numerical experiments
demonstrate how this framework yields significant profit increases using
taxicab data in Manhattan, New York City, compared to dynamic dispatching with
static pricing policies.

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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph