Reformulated Silver-Meal and Similar Lot Sizing Techniques

Literature and most textbooks around the world describe Silver-Meal in such a way that periods with zero demand make Silver-Meal suggest a higher frequency of order replenishments than necessary and therefore higher total costs than necessary. Silver-Meal, still the best-known technique, is therefor...

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Main Authors: Anders Segerstedt, Beatriz Abdul-Jalbar, Björn Samuelsson
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/7/661
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author Anders Segerstedt
Beatriz Abdul-Jalbar
Björn Samuelsson
author_facet Anders Segerstedt
Beatriz Abdul-Jalbar
Björn Samuelsson
author_sort Anders Segerstedt
collection DOAJ
description Literature and most textbooks around the world describe Silver-Meal in such a way that periods with zero demand make Silver-Meal suggest a higher frequency of order replenishments than necessary and therefore higher total costs than necessary. Silver-Meal, still the best-known technique, is therefore inferior to other lesser-known techniques when the time interval in the calculations presently is days and not months. The purpose of this article is to show that another mathematical formulation of Silver-Meal avoids this trouble. We also point to characteristics such as Silver-Meal, Least Unit Cost, Part-Period Balancing, and lot-sizing techniques that are available in many textbooks for operations and supply chain management. We illustrate the techniques with different examples of periods without demand, declining demand, and varying demand. We point out possible problems with the different techniques. Literature mostly does not consider periods of zero demand, which was not so important before. Lot-sizing methods must cope with the important performance indicator “Days of inventory”. Numerous practical situations with zero demand periods exist where a lot of sizing techniques help for efficient operations. It is necessary knowledge and a tool for students (future users, performers, and managers). “Lägsta periodkostnad” is a restored and reformulated Silver-Meal, with Silver-Meal’s characteristics already presented in literature, except those difficulties with zero demand periods disappear.
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spelling doaj.art-fa0187b605794d61ad6e5a73e7a47d5f2023-11-18T18:17:41ZengMDPI AGAxioms2075-16802023-07-0112766110.3390/axioms12070661Reformulated Silver-Meal and Similar Lot Sizing TechniquesAnders Segerstedt0Beatriz Abdul-Jalbar1Björn Samuelsson2Department of Business Administration, Technology and Social Sciences (ETS), Luleå University of Technology, HB Segerstedts Konsultbyrå, 97432 Luleå, SwedenDepartamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, 38200 La Laguna, SpainDepartment of Civil and Industrial Engineering, Quality Science, Uppsala University, Campus Gotland, 62167 Visby, SwedenLiterature and most textbooks around the world describe Silver-Meal in such a way that periods with zero demand make Silver-Meal suggest a higher frequency of order replenishments than necessary and therefore higher total costs than necessary. Silver-Meal, still the best-known technique, is therefore inferior to other lesser-known techniques when the time interval in the calculations presently is days and not months. The purpose of this article is to show that another mathematical formulation of Silver-Meal avoids this trouble. We also point to characteristics such as Silver-Meal, Least Unit Cost, Part-Period Balancing, and lot-sizing techniques that are available in many textbooks for operations and supply chain management. We illustrate the techniques with different examples of periods without demand, declining demand, and varying demand. We point out possible problems with the different techniques. Literature mostly does not consider periods of zero demand, which was not so important before. Lot-sizing methods must cope with the important performance indicator “Days of inventory”. Numerous practical situations with zero demand periods exist where a lot of sizing techniques help for efficient operations. It is necessary knowledge and a tool for students (future users, performers, and managers). “Lägsta periodkostnad” is a restored and reformulated Silver-Meal, with Silver-Meal’s characteristics already presented in literature, except those difficulties with zero demand periods disappear.https://www.mdpi.com/2075-1680/12/7/661lot sizingSilver-MealLeast Unit CostPart-Period Balancingeducation
spellingShingle Anders Segerstedt
Beatriz Abdul-Jalbar
Björn Samuelsson
Reformulated Silver-Meal and Similar Lot Sizing Techniques
Axioms
lot sizing
Silver-Meal
Least Unit Cost
Part-Period Balancing
education
title Reformulated Silver-Meal and Similar Lot Sizing Techniques
title_full Reformulated Silver-Meal and Similar Lot Sizing Techniques
title_fullStr Reformulated Silver-Meal and Similar Lot Sizing Techniques
title_full_unstemmed Reformulated Silver-Meal and Similar Lot Sizing Techniques
title_short Reformulated Silver-Meal and Similar Lot Sizing Techniques
title_sort reformulated silver meal and similar lot sizing techniques
topic lot sizing
Silver-Meal
Least Unit Cost
Part-Period Balancing
education
url https://www.mdpi.com/2075-1680/12/7/661
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