Fuzzy economic production for production inventory
type: Item
instance of: scholarly article
title: Fuzzy economic production for production inventory
zbMATH Open document ID: 0993.91024
DOI: 10.1016/S0165-0114(98)00037-2
author: Der-Chen Lin
author: Jing-Shing Yao
published in: Fuzzy Sets and Systems
publication date: 2002-09-22T00:00:00Z
review text: The fuzzy version of the EOQ problem with finite production rate is examined. This means that the optimal production quantity of a single item is sought given that it is produced at a certain rate, its demand is known and constant and shortages are not allowed. Contrary to the classical model, the production quantity is a fuzzy amount with a trapezoidal membership function. The objective is to determine the fuzzy production quantity that minimizes the total storage and fixed production costs per (production) cycle. All problem data are constant over the infinite planning horizon. To obtain the best production quantity \(q_{\ast}\), the centroid of the membership function is determined for each possible value of \(q_{\ast}\) relative to the four points defining the trapezium. Next, defuzzification is performed to convert the fuzzy outputs into a single production quantity. This is accomplished by simply calculating the centroid of the fuzzy outputs. For a small example it is shown that the relative error of using \(q_{\ast}\) instead of the best crisp production quantity is very small. General impression: the paper is not very well written and both the notation and exposition are confusing.
reviewed by: S. Nickel
Mathematics Subject Classification ID: 91B38
Mathematics Subject Classification ID: 90B05
zbMATH DE Number: 1437013
zbMATH Keywords: production
zbMATH Keywords: membership function
zbMATH Keywords: fuzzy production inventory
zbMATH Keywords: inventory model
MaRDI profile type: Publication
cites work: Economic reorder point for fuzzy backorder quantity
cites work: Q4002022
cites work: Economic order quantity in fuzzy sense for inventory without backorder model
cites work: Q4002513
cites work: Fuzzy inventory with backorder for fuzzy order quantity
cites work: Q3997786
full work available at URL: s0165-0114(98)00037-2
OpenAlex ID: W2078842983
Wikidata QID: Q127663177
description: scientific article; zbMATH DE number 1437013