Analyzing a transportation problem with reliability under the shadowed environment

Analyzing a transportation problem with reliability under the shadowed environment | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Analyzing a transportation problem with reliability under the shadowed environment SHYAMAL KUMAR MONDAL, RAJ KUMAR BERA This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4117925/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 23 May, 2025 Read the published version in Operations Research Forum → Version 1 posted 16 You are reading this latest preprint version Abstract In today's market, sources are being pressurized to deliver the product in a reliable and cost effective manner. From this perspective, the aim of the present work is to model a transportation problem to transport items from some sources to various destinations by minimizing the cost with maximum reliability. Here, the considered reliability is called 'transportation reliability' and it refers to the probability of successfully transporting items over different routes. Also, system reliability has been for different type transportation problems. Due to the imprecise nature of unit transportation cost and transportation reliability, the model has been formulated in shadowed environment. To convert the uncertain model into a deterministic form, a weighted-based de-shadowed procedure has been established. Further, to find the most efficient pareto optimal solution, an algorithm has been developed. Finally, Some numerical examples are considered to illustrate the models in both crisp and shadowed environments numerically. Transportation problem Reliability Reliable transportation problem Shadowed set Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 23 May, 2025 Read the published version in Operations Research Forum → Version 1 posted Editorial decision: Revision requested 12 Aug, 2024 Reviews received at journal 06 Aug, 2024 Reviews received at journal 29 Jul, 2024 Reviews received at journal 23 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers agreed at journal 03 Jul, 2024 Reviewers agreed at journal 03 Jul, 2024 Reviews received at journal 04 May, 2024 Reviewers agreed at journal 10 Apr, 2024 Reviewers agreed at journal 10 Apr, 2024 Reviewers invited by journal 09 Apr, 2024 Editor assigned by journal 17 Mar, 2024 Submission checks completed at journal 17 Mar, 2024 First submitted to journal 17 Mar, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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