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98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems
A warehouse supplies N retailers. Constant external demand occurs at each retailer, and shortages are not allowed. There are linear holding costs and fixed costs for ordering at the warehouse and atExpand
Computational complexity of uncapacitated multi-echelon production planning problems
Recently there has been a flurry of research in the area of production planning for multi-echelon production-distribution systems with deterministic non-stationary demands and no capacityExpand
Provably Near-Optimal Sampling-Based Policies for Stochastic Inventory Control Models
In this paper, we consider two fundamental inventory models, the single-period newsvendor problem and its multiperiod extension, but under the assumption that the explicit demand distributions are not known and that the only information available is a set of independent samples drawn from the true distributions. Expand
A 98%-Effective Lot-Sizing Rule for a Multi-Product, Multi-Stage Production / Inventory System
  • R. Roundy
  • Mathematics, Computer Science
  • Math. Oper. Res.
  • 1 November 1986
We study a multi-product, multi-stage production inventory system in continuous time. Expand
Approximation Algorithms for Stochastic Inventory Control Models
We consider stochastic control inventory models in which the goal is to coordinate a sequence of orders of a single commodity, aiming to supply stochastically demands over a discrete finite horizon with minimum expected overall ordering, holding and backlogging costs. Expand
A constant approximation algorithm for the one-warehouse multi-retailer problem
Deterministic inventory theory provides streamlined optimization models that attempt to capture tradeoffs in managing the flow of goods through a supply chain. Expand
Weighted-Tardiness Scheduling on Parallel Machines with Proportional Weights
We address the problem of scheduling a number of jobs on a bank of parallel machines to minimize the total weighted tardiness, under the assumption that the weight of each job is proportional to its processing time. Expand
Lost-Sales Problems with Stochastic Lead Times: Convexity Results for Base-Stock Policies
We consider a single-location inventory system with periodic review and stochastic demand. Expand
Analysis of Multistage Production Systems
The control of inventories of physical objects has been the theme of literally thousands of technical and trade journal articles during this century. Expand
Efficient Auction Mechanisms for Supply Chain Procurement
We first introduce an auction mechanism that makes simultaneous production and transportation decisions so that the total supply chain cost is minimized and induces truth telling from the suppliers. Expand