Functional equations with multiple recursive terms

Autor: Ivo Adan, Onno Boxma, Jacques Resing

Publikováno v: Queueing Systems, 102(1-2), 7-23. Springer

In this paper, we study a functional equation for generating functions of the form $$f(z) = g(z) \sum _{i=1}^M p_i f(\alpha _i(z)) + K(z)$$ f ( z ) = g ( z ) ∑ i = 1 M p i f ( α i ( z ) ) + K ( z ) , viz. a recursion with multiple recursive terms.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39eb35760f2b2e1a0d8688bf22289ed0
https://research.tue.nl/nl/publications/d4bda1a6-169c-4582-8406-4b04c66d5b52

Capacity analysis of sequential zone picking systems

Autor: René de Koster, Jacques Resing, Ivo Adan, Jelmer P. van der Gaast

Publikováno v: Operations Research, 68(1), 161-179
Operations Research, 68(1), 161-179. INFORMS Institute for Operations Research and the Management Sciences

This paper develops a capacity model for sequential zone picking systems. These systems are popular internal transport and order picking systems, due to their scalability, flexibility, high-throughput ability, and fit-for-use for a wide range of prod

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d439ba905f4e2a934786d68efe31b64
https://doi.org/10.1287/opre.2019.1885

Robot-storage zone assignment strategies in mobile fulfillment systems

Autor: Jacques Resing, Ivo Adan, Debjit Roy, Shobhit Nigam, René de Koster

Publikováno v: Transportation Research. Part E, The Logistics and Transportation Review, 122, 119-142. Elsevier Ltd.
Transportation Research. Part E: Logistics and Transportation Review, 122, 119-142. Elsevier

The robotic mobile fulfillment system (MFS) is widely used for automatingstorage pick and pack activities in e-commerce distribution centers. In this system, the items are stored on movable storage shelves, also known as inventory pods, and brought t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::971fdf4aaccc38f5f526c6bcee9a1a2a
https://doi.org/10.1016/j.tre.2018.11.005

Heavy traffic analysis of a polling model with retrials and glue periods

Autor: Jacques Resing, J.L. Dorsman, Murtuza Ali Abidini

Publikováno v: Stochastic Models, 34(4), 464-503. Taylor and Francis Ltd.
arXiv.org, e-Print Archive, Mathematics
ISSUE=1707.03876;TITLE=arXiv.org, e-Print Archive, Mathematics

We present a heavy traffic analysis of a single-server polling model, with the special features of retrials and glue periods. The combination of these features in a polling model typically occurs in certain optical networking models, and in models wh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a122f3c1559ee24c29146b50f565bc42
http://www.scopus.com/inward/record.url?scp=85063214957&partnerID=8YFLogxK

A coupled processor model with simultaneous arrivals and ordered service requirements

Autor: E.S. Badila, Jacques Resing

Publikováno v: Queueing Systems: Theory and Applications, 82(1-2), 29-42. Springer

We study a coupled processor model with simultaneous arrivals. Under the assumption of ordered input, the Laplace–Stieltjes transform of the joint stationary amount of work in the system can be explicitly calculated by relating it to the amount of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::513926a97708daba081c25f34dd03054
https://research.tue.nl/en/publications/49b239a1-5c81-4fef-b5fc-34b8bbc089af