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Basic Multi-Item, Single-Location Inventory Model

G. J. Houtum, B. Kranenburg
Published 2015 · Computer Science

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Chapter 2 is devoted to basic multi-item, single-location inventory models for spare parts. These models constitute the basis for all other chapters. We start with a basic model with backordered demands and a service level constraint in terms of the aggregate mean number of backordered demands. This measure is directly related to system availability. For the minimization of the investment in spare parts under this service level constraint, we formulate a greedy heuristic, which is shown to generate efficient solutions for a directly related two-objective optimization problem. Next, we discuss Lagrangian relaxation and Dantzig-Wolfe decomposition as alternative optimization techniques, we explain the item approach, and we show how to deal with alternative service measures. Finally, we describe a variant of the model with emergency shipments and an aggregate mean waiting time constraint, and multiple other extensions are given.
This paper references
A Queuing Model for an Inventory Problem
W. Karush (1957)
Decomposition Principle for Linear Programs
G. Dantzig (1960)
J. Littler (1961)
Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources
Harvey J. Everett (1963)
Discrete Optimization Via Marginal Analysis
B. Fox (1966)
The S-1, S Inventory Policy Under Compound Poisson Demand
G. J. Feeney (1966)
Metric: A Multi-Echelon Technique for Recoverable Item Control
C. C. Sherbrooke (1968)
Optimal Inventory Modeling of Systems: Multi-Echelon Techniques (INTL SERIES IN OPERATIONS RESEARCH & MANAGEMENT SCIENCE)
C. C. Sherbrooke (1992)
A system approach to budget-constrained spare parts management
W. D. Rustenburg (2000)
Spare parts management at complex technology-based organizations: an agenda for research
W. D. Rustenburg (2001)
Foundations of Stochastic Inventory Theory
Evan L. Porteus (2002)
Easy Quantification of Improved Spare Parts Inventory Policies
U. Thonemann (2002)
The Lagrangian Relaxation Method for Solving Integer Programming Problems
M. Fisher (2004)
Spare Parts Inventory Control under System Availability Constraints
G. Houtum (2015)
Cost optimization in the (S-1, S) lost sales inventory model with multiple demand classes
A. V. Kranenburg (2007)
Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse
H. Wong (2007)
Spare parts stock control for redundant systems using reliability centered maintenance data
W. V. Jaarsveld (2011)
Lost-sales inventory theory: A review
Marco Bijvank (2011)

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