RAIRO - Operations Research

The $\Dot{H}$-join operation of signed graphs constrained by indexing maps

Callum Huntington

RAIRO-Oper. Res., Forthcoming article

Received: 18 March 2025 / Revised: 30 June 2025 / Accepted: 08 July 2025

DOI: https://doi.org/10.1051/ro/2025100

PDF (374.7 KB)

Effect of price-advertisement-sales return dependent demand for imperfect production, reworking, scrap and shortages - in third order equation

Sivashankari C.K. and Vijayakumar P.

RAIRO-Oper. Res., Forthcoming article

Received: 13 September 2024 / Revised: 12 June 2025 / Accepted: 08 July 2025

DOI: https://doi.org/10.1051/ro/2025099

Generalized Benders decomposition approach for designing a reverse logistics network for unused drugs within a circular economy framework

M. Alimohammadi and Javad Behnamian

RAIRO-Oper. Res., Forthcoming article

Received: 03 September 2024 / Revised: 20 May 2025 / Accepted: 08 July 2025

DOI: https://doi.org/10.1051/ro/2025098

Joint chance-constrained survivable capacitated multi-commodity network design problem with demand uncertainty

Salman Khodayifar and Mohammadreza Farjaie

RAIRO-Oper. Res., Forthcoming article

Received: 13 November 2023 / Revised: 17 November 2024 / Accepted: 06 July 2025

DOI: https://doi.org/10.1051/ro/2025096

PDF (301.9 KB)

On the distance spectral radius, fractional matching and factors of graphs with given minimum degree

Zengzhao Xu, Weige Xi and Ligong Wang

RAIRO-Oper. Res., Forthcoming article

Received: 20 January 2025 / Revised: 19 May 2025 / Accepted: 06 July 2025

DOI: https://doi.org/10.1051/ro/2025097

Effects of electronic product modularity on recovery strategy selection

Xuxin Lai, Nengmin Wang, Bin Jiang and Tao Jia

RAIRO-Oper. Res., Forthcoming article

Received: 14 March 2024 / Revised: 29 October 2024 / Accepted: 02 July 2025

DOI: https://doi.org/10.1051/ro/2025095

An integrated Pythagorean fuzzy multi-criteria decision making model for best supplier selection in sustainable agile manufacturing

Bijoy Krishna Debnath, Brajamohan Sahoo and Abhijit Saha

RAIRO-Oper. Res., Forthcoming article

Received: 27 February 2024 / Revised: 19 November 2024 / Accepted: 02 July 2025

DOI: https://doi.org/10.1051/ro/2025094

PDF (505.7 KB)

DEA-based allocations of fixed costs in a fuzzy environment: fuzzy expected values and max-min satisfaction degree approaches

Xu Wang, Yingming Wang and Yixin Lan

RAIRO-Oper. Res., Forthcoming article

Received: 03 October 2022 / Revised: 15 March 2025 / Accepted: 02 July 2025

DOI: https://doi.org/10.1051/ro/2025091

Conditions for k-factor-critical graphs

Xiaoyun Lv, Hongzhang Chen, Jianxi Li and Shou-Jun Xu

RAIRO-Oper. Res., Forthcoming article

Received: 23 January 2024 / Revised: 02 June 2025 / Accepted: 02 July 2025

DOI: https://doi.org/10.1051/ro/2025093

PDF (203.1 KB)

Optimizing two-agent single-machine parallel batch scheduling: achieving Pareto efficiency in makespan and maximum cost objectives

Shuguang Li, Jing Wei, Yong Sun and Armand Jean Noel Irangabiye

RAIRO-Oper. Res., Forthcoming article

Received: 21 January 2024 / Revised: 19 April 2025 / Accepted: 02 July 2025

DOI: https://doi.org/10.1051/ro/2025092

PDF (520.9 KB)

Cost optimization and anaylysis of retrialqueues with hybrid vacation policies and fault correction: A metaheuristic approach

Sherif Ammar

RAIRO-Oper. Res., Forthcoming article

Received: 29 August 2024 / Revised: 03 May 2025 / Accepted: 29 June 2025

DOI: https://doi.org/10.1051/ro/2025090

High dimensional dynamic pricing with individual online review

Bing Wang, Wenjie Bi and Haiying Liu

RAIRO-Oper. Res., Forthcoming article

Received: 11 May 2024 / Revised: 13 April 2025 / Accepted: 27 June 2025

DOI: https://doi.org/10.1051/ro/2025089

PDF (422.4 KB)

Sustainable dual-channel supply chain model with circular economic index, green and price sensitive demand

Aparna Adhikary, Amalesh Kumar Manna, Jayanta Kumar Dey and Samarjit Kar

RAIRO-Oper. Res., Forthcoming article

Received: 02 September 2024 / Revised: 25 February 2025 / Accepted: 22 June 2025

DOI: https://doi.org/10.1051/ro/2025088

PDF (422.1 KB)

Decision and coordination of a fuzzy closed-supply chain with collection and return policy

Panpan Li, Baojun Zhang and Zheng Zhang

RAIRO-Oper. Res., Forthcoming article

Received: 20 March 2023 / Revised: 25 March 2025 / Accepted: 22 June 2025

DOI: https://doi.org/10.1051/ro/2025087

PDF (361.0 KB)

Extremal values of two multiplicative type topological indices

Chunlei Xu, Kinkar Chandra Das, Guanru Li and Yiming Lei

RAIRO-Oper. Res., Forthcoming article

Received: 18 November 2024 / Revised: 21 April 2025 / Accepted: 20 June 2025

DOI: https://doi.org/10.1051/ro/2025084

PDF (472.2 KB)

Embedding of extended Sierpinski networks $S^{++}(k, m)$ into certain trees

P Leo Joshwa, Sundara Rajan R, T M Rajalaxmi and Ismail Naci Cangul

RAIRO-Oper. Res., Forthcoming article

Received: 27 December 2024 / Revised: 25 March 2025 / Accepted: 20 June 2025

DOI: https://doi.org/10.1051/ro/2025085

PDF (1.063 MB)

Results on the elliptic Sombor index

Fateme Movahedi

RAIRO-Oper. Res., Forthcoming article

Received: 07 May 2024 / Revised: 17 June 2025 / Accepted: 20 June 2025

DOI: https://doi.org/10.1051/ro/2025086

PDF (109.2 KB)

A distance spectral radius for star-factors with large components in graphs

Sufang Wang and Wei Zhang

RAIRO-Oper. Res., Forthcoming article

Received: 13 October 2024 / Revised: 31 March 2025 / Accepted: 20 June 2025

DOI: https://doi.org/10.1051/ro/2025083

PDF (287.4 KB)

Exploring monotone priority queues for Dijkstra optimization

Jonas Costa, Lucas Castro and Rosiane de Freitas Rodrigues

RAIRO-Oper. Res., Forthcoming article

Received: 25 November 2024 / Revised: 05 May 2025 / Accepted: 17 June 2025

DOI: https://doi.org/10.1051/ro/2025082

PDF (1.262 MB)

Emerging capital market distortions, capital bias and total factor productivity in China

chang shu and Yuanlin Hu

RAIRO-Oper. Res., Forthcoming article

Received: 07 March 2024 / Revised: 22 May 2025 / Accepted: 16 June 2025

DOI: https://doi.org/10.1051/ro/2025081

PDF (1.916 MB)

Continuous-review $(s,S)$ inventory system with lost sales and variable lead times

Preethi Kumaresan, Sivakumar Balasubramanian and Arivarignan Gunaseelan

RAIRO-Oper. Res., Forthcoming article

Received: 02 October 2024 / Revised: 18 February 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/ro/2025079

PDF (1.004 MB)

Modelling based on fuzzy entropy for the perishable materials supply chain management

Prafulla kumar Manoharan, Dr. Sanjiv Kumar Tiwari and Dr. VINAY SHARMA

RAIRO-Oper. Res., Forthcoming article

Received: 09 October 2024 / Revised: 13 May 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/ro/2025080

Manufacturer encroachment and promotional effort on a hybrid online retailing platform

Yiying Pei and Min LI

RAIRO-Oper. Res., Forthcoming article

Received: 25 October 2024 / Revised: 19 April 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/ro/2025078

PDF (4.356 MB)

Risk propagation evaluation of logistics network based on online freight information: taking the Yumman platform as an example

Yu Yu, Zhaoyue Li, Yuqi Wei and Weiwei Zhu

RAIRO-Oper. Res., Forthcoming article

Received: 08 May 2024 / Revised: 05 April 2025 / Accepted: 06 June 2025

DOI: https://doi.org/10.1051/ro/2025077

PDF (1.782 MB)

Blockchain adoption and consumer privacy concerns in a platform supply chain with manufacturer competition

Jing Yu, Xiaoxin Cui and Chi Zhou

RAIRO-Oper. Res., Forthcoming article

Received: 04 September 2024 / Revised: 24 April 2025 / Accepted: 05 June 2025

DOI: https://doi.org/10.1051/ro/2025071

PDF (491.4 KB)

A deep reinforcement learning-enhanced metaheuristic approach for a multi-objective sustainable hub location-routing problem

MirMohammad Musavi and Ali Bozorgi-Amiri

RAIRO-Oper. Res., Forthcoming article

Received: 06 October 2024 / Revised: 05 May 2025 / Accepted: 05 June 2025

DOI: https://doi.org/10.1051/ro/2025074

Notes on scheduling non-simultaneously released jobs with restricted processing times on uniform machines

Nodari Vakhania

RAIRO-Oper. Res., Forthcoming article

Received: 08 November 2024 / Revised: 23 May 2025 / Accepted: 05 June 2025

DOI: https://doi.org/10.1051/ro/2025076

PDF (363.0 KB)

The first two maximum Sombor spectral radii of bicyclic graphs

Yanhui Zhang, Xiaoling Ma and Yangyang Wu

RAIRO-Oper. Res., Forthcoming article

Received: 30 December 2024 / Revised: 03 May 2025 / Accepted: 05 June 2025

DOI: https://doi.org/10.1051/ro/2025075

PDF (207.1 KB)

The economic and environmental effect of remanufacturing authorization in the fuzzy environment

Xiyue Pan, Fangsheng Ge and Bo Wen Fang

RAIRO-Oper. Res., Forthcoming article

Received: 05 October 2024 / Revised: 27 April 2025 / Accepted: 05 June 2025

DOI: https://doi.org/10.1051/ro/2025072

PDF (1.320 MB)

On the spectral radius of bipartite graphs with given order and 4-independence number

Wenxiu Ding and Dan Li

RAIRO-Oper. Res., Forthcoming article

Received: 26 October 2024 / Revised: 13 May 2025 / Accepted: 03 June 2025

DOI: https://doi.org/10.1051/ro/2025073

PDF (204.1 KB)

An environment-friendly integrated model for the offshore project scheduling and material procurement problems: multi-objective tree-seed solution methodology

Masoud Parsi, Vahid Baradaran and Amirhossein Hosseinian

RAIRO-Oper. Res., Forthcoming article

Received: 15 December 2022 / Revised: 30 December 2024 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025064

Seismic predictions in the mediterranean: machine learning insights and a meta-analysis review of recent studies

Imen Ziadi, Nejla Essaddi and Mongi Besbes

RAIRO-Oper. Res., Forthcoming article

Received: 25 September 2024 / Revised: 24 March 2025 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025070

PDF (2.780 MB)

The interplay between introduction strategy and commission format in live-streaming e-commerce

Qi Kou and Yuyan Liao

RAIRO-Oper. Res., Forthcoming article

Received: 03 June 2024 / Revised: 15 April 2025 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025068

PDF (2.987 MB)

Integrated Supply Chain imperfect production inventory model using green product with carbon emissions

Dr. Surendra Vikram Singh Padiyar, Rinki chaudhary and S.R. Singh

RAIRO-Oper. Res., Forthcoming article

Received: 09 July 2024 / Revised: 16 January 2025 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025069

PDF (993.0 KB)

On building remanufacturing outsourcing strategies under recycling competition and government subsidies in closed-loop supply chains

Jiayi Sun, Tianlin Shao, Li Song and Weilong Du

RAIRO-Oper. Res., Forthcoming article

Received: 30 May 2024 / Revised: 01 April 2025 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025067

PDF (2.016 MB)

Is social, economic, and environmental sustainability essential for inventory modelling?

Dr. Amrita Bhadoriya, Mrudul Y. Jani, Madhulika Shukla and Mohamed Abbas

RAIRO-Oper. Res., Forthcoming article

Received: 07 February 2024 / Revised: 24 January 2025 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025066

PDF (714.3 KB)

A harmony search-based memetic algorithm for vehicle routing problem with order release dates and flexible time windows

Wenli Li, P N Ram Kumar, Yuan Chen and Qiannan Tian

RAIRO-Oper. Res., Forthcoming article

Received: 07 November 2023 / Revised: 23 December 2024 / Accepted: 28 May 2025

DOI: https://doi.org/10.1051/ro/2025065

PDF (731.2 KB)

Proximal bundle methods for generalized fractional programs with ratios of difference of convex functions

Abdelouafi Ghazi and Ahmed Roubi

RAIRO-Oper. Res., Forthcoming article

Received: 23 September 2024 / Revised: 09 April 2025 / Accepted: 17 May 2025

DOI: https://doi.org/10.1051/ro/2025063

PDF (303.6 KB)

Review

Robust optimization for multimodal route planning integrating shared taxi and bus under uncertain traveling time

Rongyan Zhang, Liang Qi, Mengqi Li, Wenjing Luan and Xiwang Guo

RAIRO-Oper. Res., Forthcoming article

Received: 14 September 2024 / Revised: 19 April 2025 / Accepted: 11 May 2025

DOI: https://doi.org/10.1051/ro/2025061

PDF (691.8 KB)

A supply chain model under credit period and price dependent demand: A Stackelberg Approach

Rituparna Mondal and Ranjan Kumar Jana

RAIRO-Oper. Res., Forthcoming article

Received: 01 June 2023 / Revised: 02 April 2025 / Accepted: 01 May 2025

DOI: https://doi.org/10.1051/ro/2025059

PDF (2.046 MB)

How manufacturers in co-opetition choose R&D mode with uncertainty of green technology R&D

Kun Wang and Yufei Zhao

RAIRO-Oper. Res., Forthcoming article

Received: 16 May 2024 / Revised: 15 January 2025 / Accepted: 23 April 2025

DOI: https://doi.org/10.1051/ro/2025054

Flexible manufacturing system for high-tech product with reworking, variable demand, and investment in carbon reduction

Sunit Kumar, S.R. SINGH, Rachna Kumari and D. Yadav

RAIRO-Oper. Res., Forthcoming article

Received: 29 May 2023 / Revised: 06 November 2024 / Accepted: 23 April 2025

DOI: https://doi.org/10.1051/ro/2025053

A game-theoretic approach for the government’s leadership to reduce misconduct in business

Zahra Sameni, Ata Allah Taleizadeh, Ashkan Hafezalkotob and Biswajit Sarkar

RAIRO-Oper. Res., Forthcoming article

Received: 25 April 2024 / Revised: 14 March 2025 / Accepted: 10 April 2025

DOI: https://doi.org/10.1051/ro/2025047

PDF (1.796 MB)

Lot scheduling on a single machine to minimize total weighted completion time

Feifeng Zheng, Na Li, Yinfeng Xu and Ming Liu

RAIRO-Oper. Res., Forthcoming article

Received: 16 January 2024 / Revised: 08 December 2024 / Accepted: 10 April 2025

DOI: https://doi.org/10.1051/ro/2025049

Integrated scheduling optimization of production and shipping schemes for multi-variety and small-batch orders

Yajing Tian, He Luo, Yingying Chen, Xiangcai Xiao and Guoqiang Wang

RAIRO-Oper. Res., Forthcoming article

Received: 06 May 2023 / Revised: 09 January 2025 / Accepted: 10 April 2025

DOI: https://doi.org/10.1051/ro/2025050

PDF (2.108 MB)

Green supply chain model for decaying raw materials with reverse logistics and preservation investment under a fuzzy environment

S.V.S. Padiyar, Amit Kumar, Deepa Makholia, Naveen Bhagat, S.R. Singh, Vaishali Singh and Biswajit Sarkar

RAIRO-Oper. Res., Forthcoming article

Received: 05 August 2023 / Revised: 24 December 2023 / Accepted: 08 April 2025

DOI: https://doi.org/10.1051/ro/2025044

PDF (3.825 MB)

Controlling imperfect efficiency of live deteriorating products within a four-layer supply chain management

Urmila Chaudhari, Amrita Bhadoriya, Mrudul Y. Jani, Biswajit Sarkar and Mitali Sarkar

RAIRO-Oper. Res., Forthcoming article

Received: 18 March 2024 / Revised: 12 November 2024 / Accepted: 03 April 2025

DOI: https://doi.org/10.1051/ro/2025041

PDF (1.594 MB)

Review

Shelf Space Allocation in Retailing: A Literature Review

Matineh Ziari and Mohsen Sajadieh

RAIRO-Oper. Res., Forthcoming article

Received: 12 May 2024 / Revised: 21 January 2025 / Accepted: 25 March 2025

DOI: https://doi.org/10.1051/ro/2025037

PDF (1.281 MB)

Packaging strategies of temperature-sensitive food supply chains considering the influences of distribution channels and consumers' quality concern

Min Wang, Linna Zhang, Jiayi Zhang and Lindu Zhao

RAIRO-Oper. Res., Forthcoming article

Received: 27 March 2024 / Revised: 01 August 2024 / Accepted: 14 February 2025

DOI: https://doi.org/10.1051/ro/2025019

PDF (973.5 KB)

Handling the challenges of a green supply chain in the context of product blending transportation within a neutrosophic environment

Sifaoui Thiziri and Méziane AIDER

RAIRO-Oper. Res., Forthcoming article

Received: 30 March 2024 / Revised: 26 October 2024 / Accepted: 14 February 2025

DOI: https://doi.org/10.1051/ro/2025018

PDF (10.74 MB)

Economic lot scheduling problem under two different rework policies

Amir Hossein Nobil, Erfan Nobil, Leopoldo Eduardo Cárdenas-Barrón, Dagoberto Garza-Núñez, Gerardo Treviño-Garza, Armando Céspedes-Mota, Imelda de Jesús Loera-Hernández and Neale R. Smith

RAIRO-Oper. Res., Forthcoming article

Received: 05 March 2024 / Revised: 12 November 2024 / Accepted: 14 February 2025

DOI: https://doi.org/10.1051/ro/2025020

PDF (2.681 MB)

Customer-centric economic policies of closed-loop dual-channel supply chain with product-quality practices and versatile refunds in online channel

Siyuan Qiu, Siyu Yang, Manojit Das, Sagnic Naskar, Shariful Alam and Arindam Garai

RAIRO-Oper. Res., Forthcoming article

Received: 30 October 2022 / Revised: 01 October 2024 / Accepted: 14 February 2025

DOI: https://doi.org/10.1051/ro/2025023

PDF (1.479 MB)

A novel metaheuristic algorithm with applications in parameter estimation and engineering problems

Huiran Liu, Zheng Wang and Zhiming Fang

RAIRO-Oper. Res., Forthcoming article

Received: 06 June 2024 / Revised: 27 November 2024 / Accepted: 14 February 2025

DOI: https://doi.org/10.1051/ro/2025017

PDF (6.164 MB)

A Machine Learning-based Decision-making Framework for the Green Flexible Flowshop Scheduling Problem by considering Preventive Maintenance

Behzad Espidkar, Ahmad Mehrabian, Fatemeh Harsej and Hossein Amoozad Khalili

RAIRO-Oper. Res., Forthcoming article

Received: 10 May 2024 / Revised: 13 October 2024 / Accepted: 06 February 2025

DOI: https://doi.org/10.1051/ro/2025011

PDF (935.9 KB)

Review

Revisiting search methods for the bounded-diameter minimum spanning tree problem

Isabel Rosseti, Rogério M. Nepomuceno, Rodrigo L. Mafort, Fábio Protti, Luidi Simonetti and Edoarda Vallim

RAIRO-Oper. Res., Forthcoming article

Received: 19 April 2024 / Revised: 27 January 2025 / Accepted: 30 January 2025

DOI: https://doi.org/10.1051/ro/2025008

PDF (952.7 KB)

A hybrid variable neighborhood search for a real-world petrol station replenishment problem with multi-compartment vehicles

Zhishuo Liu, Yinan Cheng, Fang Tian and Wenhui Zhou

RAIRO-Oper. Res., Forthcoming article

Received: 13 March 2023 / Revised: 13 December 2024 / Accepted: 12 January 2025

DOI: https://doi.org/10.1051/ro/2025004

PDF (1.272 MB)

Robust Optimization for Supply Chain with Routing Problem: A Learning-based Approach

Hami Talebi, Mehran Khalaj, Davood Jafari, Parisa Mousavi Ahranjani and Amir Hossein Kamali Dolatabadi

RAIRO-Oper. Res., Forthcoming article

Received: 13 August 2024 / Revised: 30 November 2024 / Accepted: 23 December 2024

DOI: https://doi.org/10.1051/ro/2024230

PDF (1.584 MB)

Modeling and optimization of an M/M/1/K/WV retrial queue with dual-phase service, customer's balking under F-policy

Sudeep Singh Sanga and Ramesh Vankudothu

RAIRO-Oper. Res., Forthcoming article

Received: 15 June 2024 / Revised: 19 September 2024 / Accepted: 21 September 2024

DOI: https://doi.org/10.1051/ro/2024192

PDF (9.064 MB)

Incentive mechanism for allocating wastewater discharge responsibility based on cooperative game theory

Yue Li, Xudong Chen, Qiufeng Zhang, Yangxi Lv, Zixuan Zhang and Xue Feng

RAIRO-Oper. Res., Forthcoming article

Received: 03 July 2023 / Revised: 23 June 2024 / Accepted: 20 July 2024

DOI: https://doi.org/10.1051/ro/2024151

PDF (1.147 MB)

Free Access

BERNARD GENDRON (1966-2022): FRIEND and COLLEAGUE

Teodor Gabriel Crainic, Antonio Frangioni and Michel Gendreau

RAIRO-Oper. Res., Forthcoming article

Received: 08 September 2022 / Revised: 01 September 2022 / Accepted: 08 September 2022

DOI: https://doi.org/10.1051/ro/2022155

PDF (190.4 KB)