The Power of Linear Programming in Sponsored Listings Ranking: Evidence from a Large-Scale Field Experiment

📅 2024-03-21
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
In e-commerce advertising, Sponsored Listing Ranking (SLR) must jointly optimize short-term revenue and long-term user experience under stringent real-time latency constraints (<0.1 sec). To address this, we propose the first large-scale online SLR method integrating linear programming relaxation with dual optimization, formulating a scalable constrained mixed-integer program that flexibly incorporates operational constraints—such as inventory availability and fairness—beyond conventional heuristic scoring approaches. Our method enables controllable, verifiable multi-objective optimization, overcoming the rigidity of fixed-weight heuristics in balancing competing objectives. Evaluated over a 19-day field experiment on a leading e-commerce platform (329 million impressions), it significantly improves advertising revenue versus industrial baselines while preserving search relevance. Deployed system-wide in January 2023.

Technology Category

Search and Optimization: Algorithm ConfigurationMachine Learning: Learning Preferences or RankingsConstraint Satisfaction and Optimization: Mixed Discrete/Continuous Optimization

Application Category

Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingEconomics, Online Markets and Human Computation: Advertising auctions, pricing, markets, and exchangesUser Modeling, Personalization and Recommendation: User modeling for targeted and personalized online advertising
📝 Abstract
Sponsored product advertisements constitute a major revenue source for online marketplaces such as Amazon, Walmart, and Alibaba. A key operational challenge in these systems lies in the Sponsored Listings Ranking (SLR) problem, that is, determining which items to include and how to rank them to balance short-term revenue with long-term relevance and user experience. Industry practice predominantly relies on score-based algorithms, which construct heuristic composite scores to rank items efficiently within strict real-time latency constraints. However, such methods offer limited control over objective trade-offs and cannot readily accommodate additional operational constraints. We propose and evaluate a Linear Programming (LP)-based algorithm as a principled alternative to score-based approaches. We first formulate the SLR problem as a constrained mixed integer programming (MIP) model and develop a dual-based algorithm that approximately solves its LP relaxation within 0.1 second, satisfying production-level latency requirements. In collaboration with a leading online marketplace, we conduct a 19-day field experiment encompassing approximately 329 million impressions. The LP-based algorithm significantly outperforms the industry-standard benchmark in key marketplace metrics, demonstrating both higher revenue and maintained relevance. Mechanism analyses reveal that the performance gains are most pronounced when the revenue-relevance tradeoff is stronger. Our framework also generalizes to settings with inventory, sales, or fairness constraints, offering a flexible and deployable optimization paradigm. The LP-based algorithm was deployed in production at our partner marketplace in January 2023, marking a rare large-scale implementation of a mathematically grounded ranking algorithm in real-world online advertising.
Problem

Research questions and friction points this paper is trying to address.

Balancing short-term revenue with long-term relevance in sponsored listings ranking
Overcoming limited control of score-based algorithms for objective trade-offs
Addressing real-time latency constraints while accommodating operational constraints
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses Linear Programming for sponsored listings ranking
Solves MIP model with dual-based approximation algorithm
Generalizes to inventory sales and fairness constraints
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