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Foundations of Inventory Management
Paul Zipkin
- 24 Jan 2000
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TL;DR: In this article, one item with a constant demand rate and time-varying demands is described. But, the model is based on a single item with constant lead times.
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Abstract: 1 General Introduction2 Systems and Models3 One Item with a Constant Demand Rate4 Time-Varying Demands5 Several Products and Locations6 Stochastic Demand: One Item with Constant Leadtimes7 Stochastic Leadtimes: The Structure of the Supply System8 Several Items with Stochastic Demands9 Time-Varying, Stochastic Demand: Policy Optimization Bibliography Appendix A: Optimization and Convexity Appendix B: Dynamical Systems Appendix C: Probability and Stochastic Processes Appendix D: Notational Conventions
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Citations
Developing a closed-form cost expression for an (R,s,nQ ) policy where the demand process is compound generalized Erlang
TL;DR: A closed-form cost expression is derived for an (R,s,nQ) inventory control policy where all replenishment orders have a constant lead-time, unfilled demand is back-logged and inter-arrival times of order requests are generalized Erlang distributed.
27
Capacity allocation over a long horizon: the return on turn-and-earn
Lauren Xiaoyuan Lu,Martin A. Lariviere +1 more
- 14 May 2010
TL;DR: A dynamic stochastic game of order competition over an infinite horizon to track the order dynamics of the supply chain and shows that turn-and-earn induces more sales.
Challenges in Enterprise Wide Optimization for the Process Industries
Ignacio E. Grossmann,Kevin C. Furman +1 more
- 01 Jan 2009
TL;DR: This chapter provides an overview of major challenges in the development of deterministic and stochastic linear/nonlinear optimization models and algorithms for the optimization of entire supply chains that are involved in EWO problems.
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Duality and Existence of Optimal Policies in Generalized Joint Replenishment
Daniel Adelman,Diego Klabjan +1 more
TL;DR: A duality theory is established for a broad class of deterministic inventory control problems on continuous spaces that includes the classical joint replenishment problem and inventory routing, and shows how a primal-dual pair of infinite dimensional linear programs encode both cyclic and noncyclic schedules.
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A two-bottleneck system with binomial yields and rigid demand
TL;DR: It is proved that any arbitrarily “fixed” production policy gives rise to a finite set of linear equations, and developed algorithms to solve the two-stage problem are developed.
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