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Relevant bibliographies by topics / The Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U)

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Academic literature on the topic 'The Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U)'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "The Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U)"

1

Ornelas, Fernando, Alejandro H. García, Alejandro Santiago, et al. "Integer Programming, low complexity Heuristics, and Gaussian instances for the Internet Shopping Optimization Problem with multiple item Units (ISHOP-U)." JUCS - Journal of Universal Computer Science 31, no. (3) (2025): 298–309. https://doi.org/10.3897/jucs.150245.

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The Internet Shopping Optimization Problem with multiple item Units (ISHOP-U) is a recently proven NP-Hard variant of the classical ISHOP, which considers buying more than one unit of the same product. In this work, we propose a new set of instances where the prices of the products follow a Gaussian distribution, which is more realistic in a competitive market than the original instances with random uniform prices. We compute the optimal values of the previous uniform and new Gaussian instances using an Integer Programming formulation in CPLEX. In addition, we also propose two new low-complexi

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2

Ornelas, Fernando, Alejandro Santiago, Salvador Ibarra Martínez, et al. "The Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U): Formulation, Instances, NP-Completeness, and Evolutionary Optimization." Mathematics 10, no. 14 (2022): 2513. http://dx.doi.org/10.3390/math10142513.

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In this work, we investigate the variant of the Internet Shopping Optimization Problem (ISHOP) that considers different item units. This variant is more challenging than the original problem. The original ISHOP is already known as a combinatorial NP-hard problem. In this work, we present a formal proof that the ISHOP variant considering different item units belongs to the NP-Hard complexity class. The abovementioned variant is familiar to companies and consumers who need to purchase more than one unit of a specific product to satisfy their requirements. For example, companies buy different qua

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3

Ornelas, Fernando, Alejandro H. García, Alejandro Santiago, et al. "Integer Programming, low complexity Heuristics, and Gaussian instances for the Internet Shopping Optimization Problem with multiple item Units (ISHOP-U)." JUCS - Journal of Universal Computer Science 31, no. 3 (2025): 298–309. https://doi.org/10.3897/jucs.150245.

Full text

Abstract:

The Internet Shopping Optimization Problem with multiple item Units (ISHOP-U) is a recently proven NP-Hard variant of the classical ISHOP, which considers buying more than one unit of the same product. In this work, we propose a new set of instances where the prices of the products follow a Gaussian distribution, which is more realistic in a competitive market than the original instances with random uniform prices. We compute the optimal values of the previous uniform and new Gaussian instances using an Integer Programming formulation in CPLEX. In addition, we also propose two new low-complexi

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4

Del-Angel, Jazmin, Alejandro Santiago, Salvador Ibarra-Martínez, José Antonio Castán-Rocha, and Mayra Guadalupe Treviño-Berrones. "A Linear Genetic Programming Approach for the Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U)." Computación y Sistemas 28, no. 3 (2024). http://dx.doi.org/10.13053/cys-28-3-5165.

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Book chapters on the topic "The Internet Shopping Optimization Problem with Multiple Item Units (ISHOP-U)"

1

Ornelas, Fernando, Alejandro Santiago, José Antonio Castan Rocha, Salvador Ibarra Martínez, and Alejandro H. García. "Warm Starting Integer Programming for the Internet SHopping Optimization Problem with Multiple Item Units (ISHOP-U)." In Intelligent Systems Reference Library. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-66731-2_7.

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