Branch-and-Bound Agent Deployment for Fluctuating Order Volumes

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Solution Overview

Problem

Existing systems struggle to accurately deploy the right number of agents for order processing based on fluctuating order volumes, leading to inefficient resource utilization.

Innovation Solution

A system utilizing branch and bound methods with reinforcement learning and graph convolutional neural networks to generate forecasting models that optimize agent deployment by predicting order volumes, employing a transformer decoder architecture for variable branching and Markov decision processes to manage resource distribution.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional forecasting methods are used to predict order volumes, then the system is simpler to implement, but the accuracy of agent deployment predictions deteriorates

Engineering Contradiction:
Improveprediction accuracyVSAvoidsystem complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the forecasting problem into multiple components: order volume prediction, agent deployment optimization, and resource allocation. By using separate models (LSTM for time series prediction, branch and bound for optimization), each component can be optimized independently, achieving high accuracy without overwhelming system complexity

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces intermediate structures such as state spaces, transition functions, and reward functions that mediate between raw order data and agent deployment decisions. These intermediaries transform complex inputs into structured representations that improve prediction accuracy while managing computational complexity

Inventive Principle:
Principle #24Intermediary (Mediator)

2Reliability

If more agents are deployed to handle high order volumes, then service reliability improves, but resource waste increases during low volume periods

Engineering Contradiction:
Improveservice reliabilityVSAvoidresource waste
Core Design Contradiction:
ReliabilityVSLoss of energy

Solution Approach 1:

The patent implements dynamic agent deployment where the number of active agents adjusts in real-time based on predicted order volumes and system state. This dynamic allocation ensures sufficient agents during high demand (maintaining reliability) while reducing agent count during low demand (minimizing resource waste)

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent incorporates feedback mechanisms through reward functions that evaluate deployment effectiveness and adjust future allocations. The system learns from past performance, adjusting agent deployment strategies to balance service reliability with resource efficiency based on actual outcomes

Inventive Principle:
Principle #23Feedback

3Manufacturing precision

If branch and bound methods are used for optimization, then solution optimality improves, but computational time increases

Engineering Contradiction:
Improvesolution optimalityVSAvoidcomputational time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent performs preliminary actions by pre-computing state spaces, transition functions, and bounding constraints before actual optimization runs. This preprocessing organizes the search space in advance, allowing the branch and bound algorithm to operate more efficiently and reduce computational time while maintaining solution optimality

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS12561628B2Branch and bound for combinatorial optimization in partially observable environments
Publication Date: 2026.02.24 DELL PROD LP
  • US12561628B2 patent drawing
  • US12561628B2 patent drawing
  • US12561628B2 patent drawing

AI summary

A method for managing order processing includes obtaining a set of time series datasets associated with the order processing for an order processing system, generating a state space for the set of time series datasets using bi-partite graph representations for a mixed integer program (MIP), applying a transition function on the state space to obtain state-to-state transition function, performing a graph embedding on the state-to-state transition function to obtain historical transition data, applying a transformer multi-head attention function on the historical transition data to obtain positional encodings of observation history and feature representation, and perform an agent deployment on an order processing system based on finalized state-to-state transition functions, wherein the finalized state-to-state transition functions are based on the positional encodings.