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Strategy

See the latest research, articles and faculty on the Strategy Area of Expertise at Columbia Business School.

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Strategy Faculty

CBS Faculty Research on Strategy

Probabilistic Analysis of a Combined Aggregation and Math Programming Heuristic for a General Class of Vehicle Routing and Scheduling Problems

Authors
Awi Federgruen and Garrett van Ryzin
Date
January 1, 1997
Format
Journal Article
Journal
Management Science

We propose and analyze a heuristic that uses region partitioning and an aggregation scheme for customer attributes (load size, time windows, etc.) to create a finite number of customer types. A math program is solved based on these aggregated customer types to generate a feasible solution to the original problem. The problem class we address is quite general and defined by a number of general consistency properties.

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Stochastic inventory models with limited production capacity and periodically varying parameters

Authors
Yossi Aviv and Awi Federgruen
Date
January 1, 1997
Format
Journal Article
Journal
Probability in the Engineering and Informational Sciences

We consider a single-item, periodic-review inventory model with uncertain demands in which each period's production volume is limited by a capacity level. The demand distributions, capacity levels, and cost parameters vary according to a periodic pattern. We prove that modified base-stock policies are optimal for the finite-horizon planning model and for both the infinite-horizon discounted and undiscounted cost criterion. We further show that the optimal base-stock levels can be calculated via a simple but efficient value-iteration method.

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Single machine scheduling problems with general breakdowns, earliness and tardiness costs

Authors
Awi Federgruen and Gur Mosheiov
Date
January 1, 1997
Format
Journal Article
Journal
Operations Research

In this paper we consider single machine scheduling problems with a common due-date for all jobs, arbitrary monotone earliness and tardiness costs and arbitrary breakdown and repair processes. We show that the problem is equivalent to a deterministic one without breakdowns and repairs and with an equivalent cost function of a job's completion time. A V-shaped schedule without idle times is shown to be optimal, if this equivalent cost function is quasi-convex.

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Heuristics for multimachine minmax scheduling problems with general earliness and tardiness costs

Authors
Awi Federgruen and Gur Mosheiov
Date
January 1, 1997
Format
Journal Article
Journal
Naval Research Logistics

We consider the problem of scheduling N jobs on M parallel machines so as to minimize the maximum earliness or tardiness cost incurred for each of the jobs. Earliness and tardiness costs are given by general (but job-independent) functions of the amount of time a job is completed prior to or after a common due date. We show that in problems with a nonrestrictive due date, the problem decomposes into two parts. Each of the M longest jobs is assigned to a different machine, and all other jobs are assigned to the machines so as to minimize their makespan.

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Formulating Dynamic Strategies Using Decision Calculus

Authors
Philip M. Parker and Miklos Sarvary
Date
January 1, 1997
Format
Journal Article
Journal
European Journal of Operational Research

This paper presents an applied methodology to assist managers in strategically setting prices and allocating resources over the product, brand, or adoption (diffusion) life cycle. While substantial theoretical work has been achieved in this area in the management science and operations research disciplines, approaches which can be implemented as managerial tools are generally lacking.

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Marketing Information: A Competitive Analysis

Authors
Miklos Sarvary and Philip M. Parker
Date
January 1, 1997
Format
Journal Article
Journal
Marketing Science

Selling information that is later used in decision making constitutes an increasingly important business in modem economies (Jensen 1991). Information is sold under a large variety of forms: industry reports, consulting services, database access, and/or professional opinions given by medical, engineering, accounting/ financial, and legal professionals, among others.

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Heuristics for multimachine scheduling problems with earliness and tardiness costs

Authors
Awi Federgruen and Gur Mosheiov
Date
November 1, 1996
Format
Journal Article
Journal
Management Science

We consider multimachine scheduling problems with earliness and tardiness costs. We first analyze problems in which the cost of a job is given by a general nondecreasing, convex function F, of the absolute deviation of its completion time from a (common) unrestrictive due-date, and the objective is to minimize the sum of the costs incurred for all N jobs. (A special case to which considerable attention is given to the completion time variance problem.)

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Discriminatory Versus Uniform Treasury Auctions: Evidence from When-Issued Transactions

Authors
Kjell Nyborg and M. Suresh Sundaresan
Date
September 1, 1996
Format
Journal Article
Journal
Journal of Financial Economics

We use when-issued transactions data to assess the Treasury's current experiment with uniform auctions. When-issued volume is higher under uniform as compared to discriminatory auctions, suggesting a higher information release, which should reduce pre-auction uncertainty and the winner's curse. Under uniform auctions, when-issued volatility falls after the auction and again after the outcome announcement. The pattern is the opposite for discriminatory auctions. This is further evidence that uniform auctions increase pre-auction information and lower the short squeeze.

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A Stochastic Multidimensional Unfolding Approach for Representing Phased Decision Outcomes

Authors
Wayne DeSarbo, Donald Lehmann, Gregory Carpenter, and Indrajit Sinha
Date
September 1, 1996
Format
Journal Article
Journal
Psychometrika

This paper presents a stochastic multidimensional unfolding (MDU) procedure to spatially represent individual differences in phased or sequential decision processes. The specific application or scenario to be discussed involves the area of consumer psychology where consumers form judgments sequentially in their awareness, consideration, and choice set compositions in a phased or sequential manner as more information about the alternative brands in a designated product/service class are collected.

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