Agent Based Models of Supply Chains

2/5/99


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Table of Contents

Agent Based Models of Supply Chains

PPT Slide

Program for the Study of Complex Systems at the University of Michigan

Overview

What are the features that make supply chains so problematic?

The Seven Habits of Highly Ineffective Supply Chains

These features may be stated more generally

These are all hallmarks of a complex adaptive system

What are some of the specific ways in which supply chains manifest characteristics of complex systems?

Supply Chains as Dynamical Systems: Structural Issues

Supply Chains as Dynamical Systems: Intrinsic Nonlinearities and Adaptivity

An Additional Problem: Data Analysis

Modeling of complex systems: Lightning discussion

Better approach: Direct emulation of the distributed agents in the system

Down side

The Model

The Supply Chain Hourglass

Entities

Some Agent Behaviors and Independent Variables

Operating Assumptions

PPIC Algorithm

Forecasting Methods

Typical Forecasting Methods

Results

Some quantities we study

Variation Amplification

Variation Amplification: Mechanisms

Variation Modification in Weighted Forecasting

Amplification: Raw Data

Variation Amplification in DASCh Orders at Each Level

Variation Amplification in Automotive Orders

Order Volatility, 1971-1995 (Anderson, Fine, and Parker, MIT, 1996)

Variation Modification in Weighted Forecasting: Theory

Confirmation of < ?(t)2> ? L2< ?(t)2> Site2 ? Site3 Variance

Confirmation of < ?(t)2> ? L2< ?(t)2> Site2 ? Site3 Variance

Confirmation of < ?(t)2> ? L2< ?(t)2>/f2 Site 2 ? Site3 Variance

Variation Modification in Pass-Through Forecasting

Pass-Through Forecast Fit 183.7 + 3.1*(ConsVar + N2*L2 + N3*L3)

Implications of Variation Amplification

Variation Modification: Correlation Time-Delay Plots detect Variation Correlation (One-Step Time-Delay Plots)

Variation Amplification & Correlation in Real Data

Linear correlation due to linear feedback generated by the supply chain--Eg. Orders from site 2 to site 3

Implications of Variation Correlation

Variation Persistence

Variation Persistence

Trade-Off in Forecast Window Length

Implications of Variation Persistence

A nonlinear phenomenon: Generation of inventory oscillations Even with constant supply and demand, internal dynamics of the supply chain can generate oscillations.

Oscillations: Description

The DASCh Oscillator (Phenomena)

Oscillation Generation

Characteristics of the Inventory Oscillator

The DASCh Oscillator (Mechanism)

Geometrical interpretation

Implications for nonlinear dynamics

Implications of Oscillation Generation

Summary

Summary, cont.

Overarching conclusions

CEC Approach: Philosophy (1)

Author: H. Van Dyke Parunak

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