Flexible Service Capacity: Optimal Investment and the Impact of Demand Correlation

Posted: 18 Oct 2000

See all articles by Serguei Netessine

Serguei Netessine

The Wharton School, University of Pennsylvania

Gregory Dobson

University of Rochester - Simon Business School

Robert A. Shumsky

Tuck School of Business at Dartmouth

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Abstract

We consider a firm that provides multiple services using both specialized and flexible capacity. The problem is formulated as a two-stage single-period stochastic program. The firm invests in capacity before the actual demand is known and optimally assigns capacity to customers when demand is realized. Sample applications include a car-rental company's use of mid-sized cars to satisfy unexpectedly high demand for compact cars and an airline's use of business-class seats to satisfy economy-class demand. We obtain an analytical solution for a particular case, when services may be upgraded by one class. The simple form of the solution allows us to compare the optimal capacities explicitly with a solution that does not anticipate flexibility. Given that demand follows a multivariate Normal distribution, we analytically characterize the effects of increasing demand correlation on the optimal solution. For the case with two customer classes, the effects of demand correlation are intuitive: increasing correlation induces a shift from flexible to dedicated capacity. When there are three or more classes, there are also adjustments to the resources not directly affected by the correlation change. As correlation rises, these changes follow an alternating pattern (for example, if the optimal capacity of one resource rises, then the optimal capacity of the adjacent resource falls). These results make precise conjectures based on numerical experiments that have existed in the literature for some time.

JEL Classification: M10

Suggested Citation

Netessine, Serguei and Dobson, Gregory and Shumsky, Robert A., Flexible Service Capacity: Optimal Investment and the Impact of Demand Correlation. Operations Research. Available at SSRN: https://ssrn.com/abstract=246410

Serguei Netessine

The Wharton School, University of Pennsylvania ( email )

3730 Walnut Street
Philadelphia, PA 19104-6367
United States
(215) 573 3571 (Phone)

HOME PAGE: http://www.netessine.com

Gregory Dobson

University of Rochester - Simon Business School ( email )

Carol Simon Hall 3-310
Rochester, NY 14627
United States
585-275-2670 (Phone)
585-442-6652 (Fax)

Robert A. Shumsky (Contact Author)

Tuck School of Business at Dartmouth ( email )

Hanover, NH 03755
United States

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