Uncertain personal advertisement allocation for Mobile TV

In this paper we consider the problem of allocating personal TV advertisements when the viewers' viewing capacities are uncertain. We focus on the Mobile TV medium as a personal platform taking into account special constraints that are motivated by the TV medium. Since the problem is NP-Hard, we present a sequential solution procedure and propose several heuristic algorithms for solving it. Through computational experiments on different scenarios of uncertainty, the performances of these heuristics were compared to the performance in the deterministic case where the actual viewing capacities are known in advance. The performance of these heuristics was close to that of the deterministic even for scenarios where uncertainty was very high while the CombinedRatingRobust algorithm seems to be the best for most scenarios. In general, the heuristic algorithms that consider uncertainty in advance seem to be preferable over those that only adapt to it after it has been discovered. Though this paper is oriented for Mobile TV, the proposed algorithms are suitable for other personal push-advertisement methods such as SMS (Short Message Service) and MMS (Multimedia Messaging Service).

[1]  Linda Dailey Paulson TV comes to the mobile phone , 2006, Computer.

[2]  Peter J. Fleming,et al.  Optimal Advertising Campaign Generation for Multiple Brands Using MOGA , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[3]  Zelda B. Zabinsky,et al.  Addressing capacity uncertainty in resource-constrained assignment problems , 2006, Comput. Oper. Res..

[4]  Maarten H. van der Vlerk,et al.  Exact solutions to a class of stochastic generalized assignment problems , 2006, Eur. J. Oper. Res..

[5]  Konstantinos Chorianopoulos,et al.  Personalized and mobile digital TV applications , 2006, Multimedia Tools and Applications.

[6]  O. Erhun Kundakcioglu,et al.  Generalized Assignment Problem , 2009, Encyclopedia of Optimization.

[7]  George Lekakos,et al.  Personalised Interactive TV Advertising: The iMEDIA Business Model , 2001, Electron. Mark..

[8]  Arkadi Nemirovski,et al.  Robust solutions of uncertain linear programs , 1999, Oper. Res. Lett..

[9]  Christodoulos A. Floudas,et al.  A new robust optimization approach for scheduling under uncertainty: : I. Bounded uncertainty , 2004, Comput. Chem. Eng..

[10]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[11]  Eun-mee Kim,et al.  A Deeper Look at the Economics of Advertiser Support for Television: The Implications of Consumption-Differentiated Viewers and Ad Addressability , 2006 .

[12]  Sarit Kraus,et al.  Personal advertisement allocation for mobile TV , 2009, MoMM.

[13]  Srinivas Bollapragada,et al.  Scheduling Commercials on Broadcast Television , 2004, Oper. Res..

[14]  Arkadi Nemirovski,et al.  Robust solutions of Linear Programming problems contaminated with uncertain data , 2000, Math. Program..