The common cycle economic lot scheduling problem with backorders: Benefits of controllable production rates
type: Item
instance of: scholarly article
title: The common cycle economic lot scheduling problem with backorders: Benefits of controllable production rates
zbMATH Open document ID: 0883.90057
DOI: 10.1023/A:1008253107528
author: Mohsen Elhafsi
author: Sherman X. Bai
published in: Journal of Global Optimization
publication date: 1997-06-24T00:00:00Z
review text: A version of ELSP when the production rates are controllable during the production run of a product is studied under the assumption that unsatisfied demand is completely backordered. The objective is to determine the optimal schedule that satisfies the demand for all products and that realizes the minimum average setup, inventory holding and backlog cost per unit time. For the two-product problem it is shown that the optimal production rates can take on only three values, namely zero, demand rate, maximum rate and the optimal solution is derived analytically. For the \(m\)-product problem, to obtain the optimal solution numerically, a simplified version of Zoutendijk' algorithm is proposed.
Mathematics Subject Classification ID: 90B05
Mathematics Subject Classification ID: 90B30
zbMATH DE Number: 1026373
zbMATH Keywords: economic lot scheduling
zbMATH Keywords: single-machine
reviewed by: Vincentiu Dumitru
MaRDI profile type: Publication
full work available at URL: a:1008253107528
OpenAlex ID: W97641170
description: scientific article; zbMATH DE number 1026373