A New Formulation for the Capacitated Lot Sizing Problem with Batch Ordering Allowing Shortages

Autor: Yajaira Cardona-Valdés, Samuel Nucamendi-Guillén, Rodrigo E. Peimbert-García, Gustavo Macedo-Barragán, Eduardo Díaz-Medina
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics, Vol 8, Iss 6, p 878 (2020)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math8060878
Popis: This paper addresses the multi-product, multi-period capacitated lot sizing problem. In particular, this work determines the optimal lot size allowing for shortages (imposed by budget restrictions), but with a penalty cost. The developed models are well suited to the usually rather inflexible production resources found in retail industries. Two models are proposed based on mixed-integer formulations: (i) one that allows shortage and (ii) one that forces fulfilling the demand. Both models are implemented over test instances and a case study of a real industry. By investigating the properties of the obtained solutions, we can determine whether the shortage allowance will benefit the company. The experimental results indicate that, for the test instances, the fact of allowing shortages produces savings up to 17% in comparison with the model without shortages, whereas concerning the current situation of the company, these savings represent 33% of the total costs while preserving the revenue.
Databáze: Directory of Open Access Journals
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