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INFORMS Nashville – 2016

163

MB45

209A-MCC

Advances in Simulation Optimization

Sponsored: Simulation

Sponsored Session

Chair: Weiwei Chen, Assistant Professor, Rutgers Business Schoo

l, 1 Washington Park, Newark, NJ, 07901, United States,

wchen@business.rutgers.edu

Co-Chair: Siyang Gao, City University of Hong Kong, City University of

Hong Kong, Kowloon, Hong Kong,

siyangao@cityu.edu.hk

1 - Generalized Likelihood Ratio Method For Stochastic Derivative

Estimation

Yijie Peng, Fudan University,

pengy10@fudan.edu.cn,

Michael Fu,

Jianqiang Hu

We propose a generalized likelihood ratio method for stochastic derivative

estimation in a general framework that can handle discontinuities in both the

sample performance and sample path. The classical likelihood ratio method is a

special case where the parameter does not appear in the sample performance. In

addition, the new method generalizes the push-out likelihood ratio method. The

framework also includes most settings where infinitesimal perturbation analysis

applies, although the actual estimator differs in general. Examples demonstrate

the proposed method works for a broad set of applications, many of which cannot

be handled by existing methods.

2 - Advanced Simulation Optimization Approach

Loo Hay Lee, National University of Singapore,

iseleelh@nus.edu.sg,

Chun-Hung Chen

In this talk, we will present some potential research topics in simulation

optimization and discuss some of the preliminary work.

3 - Challenges In Applying Ranking And Selection After Search

David Eckman, Cornell University, Ithaca, NY, United States,

dje88@cornell.edu

, Shane Henderson

It is often appealing to reuse simulation replications taken during a simulation

optimization search as input into a ranking-and-selection procedure. However,

even when replications are i.i.d. and independent across systems, we show that

when the search uses the observed performance of explored systems to identify

new systems, conducting ranking-and-selection procedures that reuse the search

replications can result in probabilities of correct (and good) selection below the

prespecified level. We also show a similar deterioration in the guarantees of

subset-selection procedures.

4 - A Partition-based Random Search For Stochastic Constrained

Optimization Via Simulation

Weiwei Chen, Rutgers Business School,

wchen@business.rutgers.edu

, Siyang Gao

This research focuses on the global optimization over finite solution space with

deterministic objective function and stochastic constraints. Due to the random

noise observed in the constraints, the feasibility of a solution is unknown and can

be best evaluated by simulation. We propose a partitioning scheme to explore the

solution space and develop a feasibility detection procedure for the sampled

solutions. A partition-based random search approach with multi-constraint

feasibility detection (PRS-MFD) is then proposed to search for the optimal

solution. The efficiency of PRS-MFD is shown by numerical experiments, and it is

proved to converge to the set of global optima with probability one.

MB46

209B-MCC

Revenue Management and Assortment Optimization

Sponsored: Revenue Management & Pricing”

Sponsored Session

Chair: Hamid Nazerzadeh, University of Southern California,

Marshall School of Business, Los Angeles, CA, 90089, United States,

nazerzad@marshall.usc.edu

1 - Real-time Optimization Of Personalized Assortments

Negin Golrezaei, University of Southern California,

golrezae@usc.edu

Motivated by the availability of real-time data on customer characteristics, we

consider the problem of personalizing the assortment of products for each arriving

customer. Using actual sales data from an online retailer, we demonstrate that

personalization based on each customer’s location can lead to over 10%

improvements in revenue compared to a policy that treats all customers the same.

We propose a family of index-based policies that effectively coordinate the real-

time assortment decisions with the back-end supply chain constraints. We allow

the demand process to be arbitrary and prove that our algorithms achieve an

optimal competitive ratio.

2 - Online Personalized Resource Allocation With Customer Choice

Van-Anh Truong, Columbia University, New York, NY, United

States,

vt2196@columbia.edu

, Guillermo Gallego, Anran Li,

Xinshang Wang

We introduce a general model of resource allocation with customer choice. This

problem has a number of applications, including personalized assortment

optimization, revenue management of parallel flights, and web- and mobile-based

appointment scheduling. We derive online algorithms that are asymptotically

optimal and achieve the best constant relative performance guarantees for this

class of problems.

3 - Assortment Personalization In High Dimension

Madeleine Udell, Cornell University, Ithaca, NY, United States,

udell@cornell.edu

, Nathan Kallus

We show how to perform assortment personalization in sublinear time by

imposing a natural low rank structure on the problem. In the static setting, we

show that this model can be efficiently learned from surprisingly few interactions.

In the dynamic setting, we show that structure-aware dynamic assortment

personalization can have regret that is an order of magnitude smaller than

structure-ignorant approaches.

4 - Position Auctions With Search Cost

Heng Zhang, University of Southern California,

Heng.Zhang.2019@marshall.usc.edu

, Leon Yang Chu,

Hamid Nazerzadeh

Companies such as eBay, Amazon, and Google have created e-commerce

platforms that connect online sellers and online users. In this work, we study how

these platforms should rank the products displayed to their users. We present a

general model that captures several important aspects of these environments

including consumer’s search cost. Our analysis highlights the inefficiencies that

can be created due to the asymmetry of information among the sellers and the

platform. We present an optimal mechanism as well as a simple near-optimal

heuristic.

MB47

209C-MCC

Multi-product Revenue Management

Sponsored: Revenue Management & Pricing

Sponsored Session

Chair: David Simchi-Levi, Massachusetts Institute of Technology,

Cambridge, MA, United States,

dslevi@mit.edu

Co-Chair: He Wang, MIT, 77 Massachusetts Ave, Cambrdige, MA,

02139, United States,

wanghe@mit.edu

1 - Reaping The Benefits Of Bundling Under High Production Costs

Will Ma, MIT,

willma353@gmail.com,

David Simchi-Levi

It has long been known that selling different goods in a single bundle can

significantly increase revenue, but that this is no longer the case if the goods have

high production costs. We introduce a simple pricing scheme, called Pure

Bundling with Disposal for Cost (PBDC), that captures the benefits of bundling

under high costs, extracting all of the surplus in settings where previous simple

mechanisms could not. We also prove a theoretical guarantee on the performance

of PBDC that holds for arbitrary independent valuation distributions, by adopting

and improving techniques from mechanism design literature. Finally, we perform

extensive numerical experiments which support the efficacy of PBDC.

2 - New Algorithms And Guarantees For Assortment Optimization

Under General Choice

Clark Pixton, MIT, Cambridge, MA, United States,

cpixton@mit.edu

, David Simchi-Levi

We present new algorithms for static assortment optimization which apply to

general choice models. We show theoretical guarantees, and demonstrate

performance via computational experiments. These algorithms sit between the

work of Jagabathula (2016) and the choice model assortment optimization

literature.

MB47