Decision Criteria and Optimal Inventory Processes

Decision Criteria and Optimal Inventory Processes provides a theoretical and practical introduction to decision criteria and inventory processes. Inventory theory is presented by focusing on the analysis and processes underlying decision criteria. Included are many state-of-the-art criterion models...

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Bibliographic Details
Main Authors: Liu, Baoding, Esogbue, Augustine O. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 1999, 1999
Edition:1st ed. 1999
Series:International Series in Operations Research & Management Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 8.6 Bounded Critical Number Policy
  • 8.7 Time Lag in Control
  • 8.8 Inventory Control
  • 8.9 Reservoir Operations
  • 9 Multidimensional Fuzzy Criterion Dynamic Programming
  • 9.1 Open Inventory Networks
  • 9.2 Multidimensional Fuzzy Criterion Models
  • 9.3 Basic Theorem
  • 9.4 Existence and Uniqueness Theorem
  • 9.5 Stability Theorem
  • 9.6 (?, S) Control Policy
  • 9.7 Decomposition of the Multidimensional Problem
  • 9.8 Multi-Reservoir Joint Operations
  • 10 Further Research and Extensions
  • 10.1 Constructing Fuzzy Criterion Functions
  • 10.2 Adaptive Fuzzy Criterion Models
  • 10.3 Fuzzy Criterion Game Models
  • 10.4 Some Computational Issues
  • 10.5 Additional Applications
  • A.l Compact and Convex Sets
  • A.2 Continuous and Convex Functions
  • A.3 Convergence of Sequence
  • A.4 Borel Functions and Optimization
  • 3.3 (?, S) Inventory Policy
  • 3.4 Multilocation Inventory Systems
  • 3.5 Decomposition of Multidimensional Problem
  • 4 Bayesian Solutions of Economic Criterion Models
  • 4.1 Bayesian Updating Process
  • 4.2 Inventory Models
  • 4.3 Optimal Inventory Policy
  • 4.4 Conditions of Dimensional Reduction
  • 5 Minimax Solutions of Economic Criterion Models
  • 5.1 Game Problem with Economic Criterion
  • 5.2 Maximizing Distributions
  • 5.3 Minimax Solutions
  • 5.4 Discussion
  • 6 Probability Criterion Models
  • 6.1 Basic Model
  • 6.2 Time Lag in Supply
  • 6.3 Bounded Emergency Order
  • 6.4 Nonstationary Inventory Model
  • 6.5 Batch Ordering
  • 7 Multistage Game with Probability Criterion
  • 7.1 Game Model
  • 7.2 Minimizing Distributions
  • 7.3 Maximin Solutions
  • 8 Fuzzy Criterion Decision Processes
  • 8.1 Fuzzy Criterion Sets and Fuzzy Criterion Functions
  • 8.2 FuzzyCriterion Models
  • 8.3 Basic Theorem
  • 8.4 Infinite Horizon Problem
  • 8.5 Stability Theorem
  • 1 Introduction
  • 1.1 Inventory Examples
  • 1.2 Characteristics of Inventory Problems
  • 1.3 Classification of Inventory Problems
  • 1.4 Inventory Systems
  • 1.5 Determination of Inventory Cost Parameters
  • 1.6 Types of Decision Problem Situations
  • 1.7 Decision Oriented Processes
  • 1.8 Discrete Dynamic Programming (DDP)
  • 1.9 Stochastic Multistage Decision Processes
  • 1.10 Decision Criteria in Inventory Systems
  • 1.11 Balance Between Information and Decision
  • 1.12 Unimodality and Strong Unimodality
  • 2 Economic Criterion Models
  • 2.1 Deterministic Inventory Models
  • 2.2 Deterministic Inventory Models With Back logging
  • 2.3 Stochastic Inventory Models
  • 2.4 Critical Number Policy
  • 2.5 Convex Ordering Cost
  • 2.6 K-convex Functions
  • 2.7 (s, S) Inventory Policy
  • 2.8 Quantity Discount
  • 2.9 Time Lag in Supply
  • 3 Multidimensional Economic Criterion Models
  • 3.1 Multicommodity Inventory Systems
  • 3.2 Multivariable K-convex Functions