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142641

Aggregate View for Capacitated Lot-Sizing.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Production Engineering and Mechanical Design

Abstract

Lot-Sizing is a crucial decision arises, in many classes and variants, in the production planning. The paper focuses on the single-stage, dynamic, multi-item capacitated lot-sizing problem (CLSP) with continuous setups. It classically deals with the issue of determining a production plan for items in terms of quantities and their timing over a discrete finite horizon. so as to satisfy a known variable demand in each period without incurring backloggs and minimize the setup, production and holding costs. A finite production capacity of a single resource is shared by all items produced in each period. The literature showed that this problem is NP-hard in feasibilty and optimality. A special heuristic method is developed for small products. The mathematical models consider backorder and under capacity costs. The problem is reduced to a capacity distribution under special propositions and solved in two phases by using the fixed charge transportation problem (FCTP.) The first phase aggregately distributes the capacity between periods while the second decomposes this distribution into separate periods lot-sizing problems solvable as a sequence of FCTPs. 

DOI

10.21608/bfemu.2002.142641

Keywords

Multi, Item: Dynamic Demand: Lot, sizing: Capacity Distribution: Decomposition

Authors

First Name

Hassan

Last Name

Soltan

MiddleName

Ali Mohamed

Affiliation

Production Engineering and Mechanical Design Department., Faculty of Engineering, El-Mansoura University, Mansoura 35516, Egypt

Email

-

City

Mansoura

Orcid

-

Volume

27

Article Issue

2

Related Issue

21024

Issue Date

2002-06-01

Receive Date

2002-01-11

Publish Date

2002-06-01

Page Start

1

Page End

16

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 27_Issue 2_Pages 1-16.pdf

PDF . 517.7kB

Link

https://bfemu.journals.ekb.eg/article_142641.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=142641

Order

2

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Aggregate View for Capacitated Lot-Sizing.

Details

Type

Article

Created At

22 Jan 2023