LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX

Ayman R. Mohammed; Ahmad A.B.U. Sleem; Mohammad A.M. Abdel-Aal

LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX

Ayman R. Mohammed, Ahmad A.B.U. Sleem, Mohammad A.M. Abdel-Aal^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials supplied to the manufacturer is considered as dynamic depending on the results of the problem. Thus, an integer linear heuristic, an integer non-linear optimization model, and a basic non-linear model are developed to find a good solution of the problem. The results of the three models were compared to each other in terms of profit, raw materials costs, inventory costs and raw materials utilization. Recent studies in the field are reviewed and conclusions are drawn.

Original language	English
Title of host publication	50th International Conference on Computers and Industrial Engineering, CIE 2023
Subtitle of host publication	Sustainable Digital Transformation
Editors	Yasser Dessouky, Abdulrahim Shamayleh
Publisher	Computers and Industrial Engineering
Pages	917-928
Number of pages	12
ISBN (Electronic)	9781713886952
State	Published - 2023
Event	50th International Conference on Computers and Industrial Engineering: Sustainable Digital Transformation, CIE 2023 - Sharjah, United Arab Emirates Duration: 30 Oct 2023 → 2 Nov 2023

Publication series

Name	Proceedings of International Conference on Computers and Industrial Engineering, CIE
Volume	2
ISSN (Electronic)	2164-8689

Conference

Conference	50th International Conference on Computers and Industrial Engineering: Sustainable Digital Transformation, CIE 2023
Country/Territory	United Arab Emirates
City	Sharjah
Period	30/10/23 → 2/11/23

Bibliographical note

Publisher Copyright:
© 2023 Computers and Industrial Engineering. All rights reserved.

Keywords

Linear Programming
Master Production Scheduling
Non-linear Programming
Product Mix Problem
Production Planning

ASJC Scopus subject areas

General Computer Science
Control and Systems Engineering
Electrical and Electronic Engineering
Industrial and Manufacturing Engineering
Safety, Risk, Reliability and Quality

Cite this

Mohammed, A. R., Sleem, A. A. B. U., & Abdel-Aal, M. A. M. (2023). LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX. In Y. Dessouky, & A. Shamayleh (Eds.), 50th International Conference on Computers and Industrial Engineering, CIE 2023: Sustainable Digital Transformation (pp. 917-928). (Proceedings of International Conference on Computers and Industrial Engineering, CIE; Vol. 2). Computers and Industrial Engineering.

Mohammed, Ayman R. ; Sleem, Ahmad A.B.U. ; Abdel-Aal, Mohammad A.M. / LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX. 50th International Conference on Computers and Industrial Engineering, CIE 2023: Sustainable Digital Transformation. editor / Yasser Dessouky ; Abdulrahim Shamayleh. Computers and Industrial Engineering, 2023. pp. 917-928 (Proceedings of International Conference on Computers and Industrial Engineering, CIE).

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abstract = "The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials supplied to the manufacturer is considered as dynamic depending on the results of the problem. Thus, an integer linear heuristic, an integer non-linear optimization model, and a basic non-linear model are developed to find a good solution of the problem. The results of the three models were compared to each other in terms of profit, raw materials costs, inventory costs and raw materials utilization. Recent studies in the field are reviewed and conclusions are drawn.",

keywords = "Linear Programming, Master Production Scheduling, Non-linear Programming, Product Mix Problem, Production Planning",

author = "Mohammed, \{Ayman R.\} and Sleem, \{Ahmad A.B.U.\} and Abdel-Aal, \{Mohammad A.M.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Computers and Industrial Engineering. All rights reserved.; 50th International Conference on Computers and Industrial Engineering: Sustainable Digital Transformation, CIE 2023 ; Conference date: 30-10-2023 Through 02-11-2023",

year = "2023",

language = "English",

series = "Proceedings of International Conference on Computers and Industrial Engineering, CIE",

publisher = "Computers and Industrial Engineering",

pages = "917--928",

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Mohammed, AR, Sleem, AABU & Abdel-Aal, MAM 2023, LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX. in Y Dessouky & A Shamayleh (eds), 50th International Conference on Computers and Industrial Engineering, CIE 2023: Sustainable Digital Transformation. Proceedings of International Conference on Computers and Industrial Engineering, CIE, vol. 2, Computers and Industrial Engineering, pp. 917-928, 50th International Conference on Computers and Industrial Engineering: Sustainable Digital Transformation, CIE 2023, Sharjah, United Arab Emirates, 30/10/23.

LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX. / Mohammed, Ayman R.; Sleem, Ahmad A.B.U.; Abdel-Aal, Mohammad A.M.
50th International Conference on Computers and Industrial Engineering, CIE 2023: Sustainable Digital Transformation. ed. / Yasser Dessouky; Abdulrahim Shamayleh. Computers and Industrial Engineering, 2023. p. 917-928 (Proceedings of International Conference on Computers and Industrial Engineering, CIE; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Sleem, Ahmad A.B.U.

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PY - 2023

Y1 - 2023

N2 - The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials supplied to the manufacturer is considered as dynamic depending on the results of the problem. Thus, an integer linear heuristic, an integer non-linear optimization model, and a basic non-linear model are developed to find a good solution of the problem. The results of the three models were compared to each other in terms of profit, raw materials costs, inventory costs and raw materials utilization. Recent studies in the field are reviewed and conclusions are drawn.

AB - The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials supplied to the manufacturer is considered as dynamic depending on the results of the problem. Thus, an integer linear heuristic, an integer non-linear optimization model, and a basic non-linear model are developed to find a good solution of the problem. The results of the three models were compared to each other in terms of profit, raw materials costs, inventory costs and raw materials utilization. Recent studies in the field are reviewed and conclusions are drawn.

KW - Linear Programming

KW - Master Production Scheduling

KW - Non-linear Programming

KW - Product Mix Problem

KW - Production Planning

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M3 - Conference contribution

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A2 - Dessouky, Yasser

A2 - Shamayleh, Abdulrahim

PB - Computers and Industrial Engineering

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Mohammed AR, Sleem AABU, Abdel-Aal MAM. LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX. In Dessouky Y, Shamayleh A, editors, 50th International Conference on Computers and Industrial Engineering, CIE 2023: Sustainable Digital Transformation. Computers and Industrial Engineering. 2023. p. 917-928. (Proceedings of International Conference on Computers and Industrial Engineering, CIE).

LINEAR AND NON-LINEAR MODELS FOR MASTER SCHEDULING OF DYNAMIC RESOURCES PRODUCT MIX

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this