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Demand-Driven Scheduling of Movies in a Multiplex

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Author Info
Eliashberg, J.
Hegie, Q.
Ho, J.
Huisman, D.
Miller, S.J.
Swami, S.
Weinberg, C.B.
Wierenga, B. (Erasmus Research Institute of Management (ERIM), RSM Erasmus University)

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Abstract

This paper describes a model that generates weekly movie schedules in a multiplex movie theater. A movie schedule specifies within each day of the week, on which screen(s) different movies will be played, and at which time(s). The model consists of two parts: (i) conditional forecasts of the number of visitors per show for any possible starting time; and (ii) an optimization procedure that quickly finds an almost optimal schedule (which can be demonstrated to be close to the optimal schedule). To generate this schedule we formulate the so-called movie scheduling problem as a generalized set partitioning problem. The latter is solved with an algorithm based on column generation techniques. We have applied this combined demand forecasting /schedule optimization procedure to a multiplex in Amsterdam where we supported the scheduling of fourteen movie weeks. The proposed model not 2 only makes movie scheduling easier and less time consuming, but also generates schedules that would attract more visitors than the current ‘intuition-based’ schedules.

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Publisher Info
Paper provided by Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam. in its series Research Paper with number ERS-2007-033-MKT Revision_Date: 2009-11-09.

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Date of creation: 10 May 2007
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Handle: RePEc:dgr:eureri:300011308

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Related research
Keywords: Optimization of movie schedules; Integer programming; Column generation; Demand forecasting;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Huisman, D. & Jans, R.F. & Peeters, M. & Wagelmans, A.P.M., 2003. "Combining Column Generation and Lagrangian Relaxation," Research Paper ERS-2003-092-LIS Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
  2. D. Huisman & R. Freling & A.P.M. Wagelmans, 2003. "Multiple-depot integrated vehicle and crew scheduling," Econometric Institute Report 302, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
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