Format:
Online-Ressource (XVIII, 339 p, online resource)
Edition:
1
ISBN:
9780387689487
Series Statement:
Springer Series in Operations Research and Financial Engineering
Content:
Inventories Are Everywhere -- EOQ Model -- Power-of-Two Policies -- Dynamic Lot Sizing with Deterministic Demand -- Single-Period Models -- Inventory Planning over Multiple Time Periods: Linear-Cost Case -- Background Concepts: An Introduction to the ( #x2212; 1, ) Policy under Poisson Demand -- A Tactical Planning Model for Managing Recoverable Items in Multi-Echelon Systems -- Reorder Point, Lot Size Models: The Continuous Review Case -- Lot Sizing Models: The Periodic Review Case.
Content:
Inventories are prevalent everywhere in the commercial world, whether it be in retail stores, manufacturing facilities, government stockpile material, Federal Reserve banks, or even your own household. This textbook examines basic mathematical techniques used to sufficiently manage inventories by using various computational methods and mathematical models. Such models discussed include: EOQ model and extensions, power-of-two models, single and multi-period models, probabilistic lot sizing models, multi-echelon stochastic models, Laplace and Normal demand models, exact Poisson model, and many more. Principles of Inventory Management begins with an introductory chapter in which the basics of inventory systems and mathematical assumptions for all models are grouped together. The text is presented in a way such that each section can be read independently, and so the order in which the reader approaches the book can be inconsequential. It contains both deterministic and stochastic models along with algorithms that can be employed to find solutions to a variety of inventory control problems. Key topics include: * Economic order quantity (EOQ) model * Power-of-two policies * Dynamic lot sizing * Single and multi-period stochastic models * Echelon-based approaches * Multi-echelon systems * Single and multi-item models With exercises at the end of each chapter and a clear, systematic exposition, this textbook will appeal to advanced undergraduate and first-year graduate students in operations research, industrial engineering, and quantitative MBA programs. It also serves as a reference for professionals in both industry and government worlds. The prerequisite courses include introductory optimization methods, probability theory (non-measure theoretic), and stochastic processes.
Note:
Description based upon print version of record
,
""Principles of Inventory Management""; ""Preface""; ""Acknowledgments""; ""Contents""; ""1 Inventories Are Everywhere""; ""1.1 The Roles of Inventory""; ""1.2 Fundamental Questions""; ""1.3 Factors Affecting Inventory Policy Decisions""; ""1.3.1 System Structure""; ""1.3.2 The Items""; ""1.3.3 Market Characteristics""; ""1.3.4 Lead Times""; ""1.3.5 Costs""; ""1.4 Measuring Performance""; ""2 EOQ Model""; ""2.1 Model Development: Economic Order Quantity (EOQ) Model""; ""2.1.1 Robustness of the EOQ Model""; ""2.1.2 Reorder Point and Reorder Interval""
,
""2.2 EOQ Model with Backordering Allowed""""2.2.1 The Optimal Cost""; ""2.3 Quantity Discount Model""; ""2.3.1 All Units Discount""; ""2.3.2 An Algorithm to Determine the Optimal Order Quantity for the All Units Discount Case""; ""2.3.3 Incremental Quantity Discounts""; ""2.3.4 An Algorithm to Determine the Optimal Order Quantity for the Incremental Quantity Discount Case""; ""2.4 Lot Sizing When Constraints Exist""; ""2.5 Exercises""; ""3 Power-of-Two Policies""; ""3.1 Basic Framework""; ""3.1.1 Power-of-Two Policies""; ""3.1.2 PO2 Policy for a Single-Stage System""
,
""3.1.2.1 Cost for the Optimal PO2 Policy""""3.2 Serial Systems""; ""3.2.1 Assumptions and Nomenclature""; ""3.2.2 A Mathematical Model for Serial Systems""; ""3.2.3 Algorithm to Obtain an Optimal Solution to (RP)""; ""3.3 Multi-Echelon Distribution Systems""; ""3.3.1 A Mathematical Model for Distribution Systems""; ""3.3.1.1 Relaxed Problem""; ""3.3.2 Powers-of-Two Solution""; ""3.4 Joint Replenishment Problem (JRP)""; ""3.4.1 A Mathematical Model for Joint Replenishment Systems""; ""3.4.2 Rounding the Solution to the Relaxed Problem""; ""3.5 Exercises""
,
""4 Dynamic Lot Sizing with Deterministic Demand""""4.1 The Wagner�Whitin (WW) Algorithm""; ""4.1.1 Solution Approach""; ""4.1.2 Algorithm""; ""4.1.3 Shortest-Path Representation of the Dynamic Lot Sizing Problem""; ""4.1.4 Technical Appendix for the Wagner�Whitin Algorithm""; ""4.2 Wagelmans�Hoesel�Kolen (WHK) Algorithm""; ""4.2.1 Model Formulation""; ""4.2.2 An Order T logT Algorithm for Solving Problem (4.5)""; ""4.2.3 Algorithm""; ""4.3 Heuristic Methods""; ""4.3.1 Silver�Meal Heuristic""; ""4.3.2 Least Unit Cost Heuristic""; ""4.4 A Comment on the Planning Horizon""
,
""4.5 Exercises""""5 Single-Period Models""; ""5.1 Making Decisions in the Presence of Uncertainty""; ""5.2 An Example""; ""5.2.1 The Data""; ""5.2.2 The Decision Model""; ""5.3 Another Example""; ""5.4 Multiple Items""; ""5.4.1 A General Model""; ""5.4.2 Multiple Constraints""; ""5.5 Exercises""; ""6 Inventory Planning over Multiple Time Periods: Linear-Cost Case""; ""6.1 Optimal Policies""; ""6.1.1 The Single-Unit, Single-Customer Approach: Single-Location Case""; ""6.1.1.1 Notation and Definitions""; ""6.1.1.2 Optimality of Base-Stock Policies""
,
""6.1.1.2.1 Decomposition of the System into Subsystems""
Additional Edition:
ISBN 9780387244921
Additional Edition:
Druckausg. Muckstadt, John A., 1940 - Principles of inventory management New York, NY : Springer, 2010 ISBN 9780387244921
Additional Edition:
ISBN 9781493938636
Language:
English
Subjects:
Economics
,
Mathematics
Keywords:
Bestandsmanagement
;
Mathematisches Modell
;
Beschaffung
;
Lagerhaltung
DOI:
10.1007/978-0-387-68948-7
URL:
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