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Optimal Repurchasing Contract Design for Efficient Utilization of Computing Resources

Zhengyan Deng, Yusen Zheng, Chenliang Sheng, Shaowen Qin

TL;DR

The paper addresses high idle-resource waste in leased computing resources by designing a contract-based repurchasing mechanism that incentivizes current clients to sell back idle capacity. It models a two-parameter private-information environment where each client’s type is $(v,c)$ and uses discrete-type distributions to derive implementable contracts that maximize provider utility while enforcing incentive compatibility and individual rationality. The design derives explicit payment rules and tractable optimization formulations, solving the |C|=1 case via linear programming and extending to |C|>1 through a Fletcher–Leyffer NLP relaxation with regret bounds, enabling practical deployment for both single and multiple capacity scenarios. The approach offers a market-oriented solution to reduce waste in computing infrastructure and provides a foundation for data-driven, contract-theory based resource reclamation in modern data ecosystems.

Abstract

The rapid advancement of AI and other emerging technologies has triggered exponential growth in computing resources demand. Faced with prohibitive infrastructure costs for large-scale computing clusters, users are increasingly resorting to leased computing resources from third-party providers. However, prevalent overestimation of operational requirements frequently leads to substantial underutilization of the computing resources. To mitigate such inefficiency, we propose a contract-based incentive framework for computing resources repurchasing. Comparing to auction mechanisms, our design enables providers to reclaim and reallocate surplus computing resources through market-driven incentives. Our framework operates in a multi-parameter environment where both clients' idle resource capacities and their unit valuations of retained resources are private information, posing a significant challenge to contract design. Two scenarios are considered based on whether all clients possess the same amount of idle resource capacity. By transforming the contract design problem into solving a mathematical program, we obtain the optimal contracts for each scenario, which can maximize the utility of computing resources providers while ensuring the requirements of incentive compatibility (IC) and individual rationality (IR). This innovative design not only provides an effective approach to reduce the inefficient utilization of computing resources, but also establishes a market-oriented paradigm for sustainable computing ecosystems.

Optimal Repurchasing Contract Design for Efficient Utilization of Computing Resources

TL;DR

The paper addresses high idle-resource waste in leased computing resources by designing a contract-based repurchasing mechanism that incentivizes current clients to sell back idle capacity. It models a two-parameter private-information environment where each client’s type is and uses discrete-type distributions to derive implementable contracts that maximize provider utility while enforcing incentive compatibility and individual rationality. The design derives explicit payment rules and tractable optimization formulations, solving the |C|=1 case via linear programming and extending to |C|>1 through a Fletcher–Leyffer NLP relaxation with regret bounds, enabling practical deployment for both single and multiple capacity scenarios. The approach offers a market-oriented solution to reduce waste in computing infrastructure and provides a foundation for data-driven, contract-theory based resource reclamation in modern data ecosystems.

Abstract

The rapid advancement of AI and other emerging technologies has triggered exponential growth in computing resources demand. Faced with prohibitive infrastructure costs for large-scale computing clusters, users are increasingly resorting to leased computing resources from third-party providers. However, prevalent overestimation of operational requirements frequently leads to substantial underutilization of the computing resources. To mitigate such inefficiency, we propose a contract-based incentive framework for computing resources repurchasing. Comparing to auction mechanisms, our design enables providers to reclaim and reallocate surplus computing resources through market-driven incentives. Our framework operates in a multi-parameter environment where both clients' idle resource capacities and their unit valuations of retained resources are private information, posing a significant challenge to contract design. Two scenarios are considered based on whether all clients possess the same amount of idle resource capacity. By transforming the contract design problem into solving a mathematical program, we obtain the optimal contracts for each scenario, which can maximize the utility of computing resources providers while ensuring the requirements of incentive compatibility (IC) and individual rationality (IR). This innovative design not only provides an effective approach to reduce the inefficient utilization of computing resources, but also establishes a market-oriented paradigm for sustainable computing ecosystems.

Paper Structure

This paper contains 17 sections, 7 theorems, 22 equations, 1 figure.

Key Result

Lemma 1.1

A contract is incentive compatible if and only if it is resource feasible, resource greedy and satisfies the following conditions:

Figures (1)

  • Figure 1: The interactions between the provider and the clients.

Theorems & Definitions (18)

  • Definition 1.1: Contract
  • Definition 1.2: Resource Feasibility
  • Definition 1.3: Resource Greedy
  • Definition 1.4: Incentive Compatibility
  • Lemma 1.1: Equivalence of Incentive Compatibility
  • Definition 1.5: Individual Rationality
  • Theorem 1.1: Feasible Contract
  • Lemma 1.2
  • Lemma 1.3
  • Proposition 1.1
  • ...and 8 more