Publications

May 1988 (Revised June 2023)
Case

National Cranberry Cooperative, 1996

By: Roy D. Shapiro

Describes the continuous flow process used to process cranberries into juice and/or sauce. Requires student to analyze process flows to determine where the bottlenecks are and to decide how, and whether, to expand capacity. Original version written by J.G. Miller and... View Details

Keywords: Logistics; Performance Capacity; Performance Improvement; Supply Chain; Mathematical Methods; Cost vs Benefits; Production

07 Jun 2004
Research & Ideas

What Drives Supply Chain Behavior?

provide prescriptive recommendations, many of these papers pursue an optimizing approach given the assumption of a completely rational decision maker. Testament to the complexity of these activities is the high level of mathematical... View Details

Keywords: by Sarah Jane Johnston

September 2010 (Revised January 2012)
Case

OPOWER: Increasing Energy Efficiency through Normative Influence (A)

By: Amy J.C. Cuddy, Kyle Todd Doherty and Maarten W. Bos

The case profiles OPOWER, an energy efficiency software company that applies Cialdini's principles of social influence to successfully encourage consumers to reduce their energy usage. OPOWER was co-founded in 2008 by two young Harvard graduates, Dan Yates and Alex... View Details

Keywords: Mathematical Methods; Applications and Software; Attitudes; Entrepreneurship; Energy Conservation; Power and Influence; Growth and Development Strategy; Energy Industry; United States

04 Feb 2010
What Do You Think?

What’s the Best Way to Make Careful Decisions?

for a more careful approach, suggesting that we place too much emphasis on intuition and personal experience as opposed to the "wisdom of crowds," mathematical models, and systematically-collected data. He argues that... View Details

Keywords: by James Heskett

08 Dec 2020
Research & Ideas

Why Companies Hunt for Talent on Digital Platforms, Not in Resume Piles

When it comes to the job hunt, many of us have a traditional view of what it takes to find a new position: A worker searches for available openings, sends in a resume, and waits for an interview. Much of academic research assumes that’s the way people find jobs, too.... View Details

Keywords: by Michael Blanding; Employment

October 2000 (Revised April 2001)
Case

Cost of Capital at Ameritrade

By: Mark L. Mitchell and Erik Stafford

Ameritrade Holding Corp. is planning large marketing and technology investments to improve the company's competitive position in deep-discount brokerage by taking advantage of emerging economies of scale. In order to evaluate whether the strategy would generate... View Details

Keywords: Developing Countries and Economies; Asset Pricing; Cash Flow; Cost of Capital; Investment; Marketing; Mathematical Methods; Competition; Information Technology; Internet and the Web; Financial Services Industry

September 2010 (Revised December 2010)
Case

Compass Maritime Services, LLC: Valuing Ships

By: Benjamin C. Esty and Albert W. Sheen

Tom Roberts, a founding partner of Compass Maritime Services, a New Jersey-based shipping research and consulting firm, has been asked by a new potential customer in May 2008 for advice on purchasing a capesize bulk carrier. After identifying a suitable ship with his... View Details

Keywords: Decision Choices and Conditions; Judgments; Price; Management Analysis, Tools, and Techniques; Negotiation Offer; Mathematical Methods; Ship Transportation; Valuation; Consulting Industry; Shipping Industry

October 2001 (Revised October 2017)
Case

Store24 (A): Managing Employee Retention

By: Frances X. Frei and Dennis Campbell

Provides a retailing context in which employee retention strategies are explored through analyzing detailed store-level data. View Details

Keywords: Retention; Management Analysis, Tools, and Techniques; Analytics and Data Science; Strategy; Mathematical Methods; Retail Industry

30 Jun 2021
In Practice

The Harvard Business School Faculty Summer Reader 2021

all of that, I’ve also been enjoying Mezzanine, a recent book of poetry by my spectacular doctoral student Zoë Hitzig, and Peter Winkler’s newest Mathematical Puzzles compendium. Scott Duke Kominers (@skominers) is the MBA Class of 1960... View Details

Keywords: by Kathryn Haviland

17 Dec 2007
Research & Ideas

The Rise of Medical Tourism

the U.S. medical profession are still large. In India, the same depth of pool of engineering and mathematical talent for software, offshoring, and outsourcing is there for medicine, too. In the 1950s and '60s, the Indian government... View Details

Keywords: by Martha Lagace; Health; Medical Devices & Supplies

02 Oct 2017
What Do You Think?

Do Bitcoin and Digital Currency Have a Future?

mathematical puzzles,” receiving Bitcoins as payment for their services. Today, the largest “miner” of Bitcoins is a factory containing 25,000 computers and serviced on a 24/7 basis by 50 employees in Dallad Banner in Inner Mongolia,... View Details

Keywords: by James L. Heskett; Financial Services

03 May 2010
Research & Ideas

What Is the Future of MBA Education?

situations into mathematical models. The percentage of MBAs that we hire will go down in the next ten years. A director of a leading consulting firm made much the same point: We now hire a very large number of non-MBAs into our Associate... View Details

Keywords: by Martha Lagace; Education

Forthcoming
Article

Branch-and-Price for Prescriptive Contagion Analytics

By: Alexandre Jacquillat, Michael Lingzhi Li, Martin Ramé and Kai Wang

Contagion models are ubiquitous in epidemiology, social sciences, engineering, and management. This paper formulates a prescriptive contagion analytics model where a decision maker allocates shared resources across multiple segments of a population, each governed by... View Details

Keywords: COVID-19; Mathematical Methods

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2020
Article

Fast Exact Matrix Completion: A Unified Optimization Framework for Matrix Completion

By: Dimitris Bertsimas and Michael Lingzhi Li

We formulate the problem of matrix completion with and without side information as a non-convex optimization problem. We design fastImpute based on non-convex gradient descent and show it converges to a global minimum that is guaranteed to recover closely the... View Details

Keywords: Mathematical Methods

Article

How Much Should We Trust Staggered Difference-In-Differences Estimates?

By: Andrew C. Baker, David F. Larcker and Charles C.Y. Wang

We explain when and how staggered difference-in-differences regression estimators, commonly applied to assess the impact of policy changes, are biased. These biases are likely to be relevant for a large portion of research settings in finance, accounting, and law that... View Details

Keywords: Difference In Differences; Staggered Difference-in-differences Designs; Generalized Difference-in-differences; Dynamic Treatment Effects; Mathematical Methods

Mar 2021
Conference Presentation

Descent-to-Delete: Gradient-Based Methods for Machine Unlearning

By: Seth Neel, Aaron Leon Roth and Saeed Sharifi-Malvajerdi

We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial updates while promising both... View Details

Keywords: Machine Learning; Unlearning Algorithm; Mathematical Methods

Article

Oracle Efficient Private Non-Convex Optimization

By: Seth Neel, Aaron Leon Roth, Giuseppe Vietri and Zhiwei Steven Wu

One of the most effective algorithms for differentially private learning and optimization is objective perturbation. This technique augments a given optimization problem (e.g. deriving from an ERM problem) with a random linear term, and then exactly solves it.... View Details

Keywords: Machine Learning; Algorithms; Objective Perturbation; Mathematical Methods

Article

Aztec Castles and the dP3 Quiver

By: Megan Leoni, Gregg Musiker, Seth Neel and Paxton Turner

Bipartite, periodic, planar graphs known as brane tilings can be associated to a large class of quivers. This paper will explore new algebraic properties of the well-studied del Pezzo 3 (dP3) quiver and geometric properties of its corresponding brane tiling. In... View Details

Keywords: Brane Tiling; Del Pezzo 3 Lattice; Dimer Model; Mathematical Methods

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2021
Working Paper

How Much Should We Trust Staggered Difference-In-Differences Estimates?

By: Andrew C. Baker, David F. Larcker and Charles C.Y. Wang

Difference-in-differences analysis with staggered treatment timing is frequently used to assess the impact of policy changes on corporate outcomes in academic research. However, recent advances in econometric theory show that such designs are likely to be biased in the... View Details

Keywords: Difference In Differences; Staggered Difference-in-differences Designs; Generalized Difference-in-differences; Dynamic Treatment Effects; Mathematical Methods

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