Lukasz Kruk

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 16

Top Topics

Resource Sharing

Queueing Networks

Top Venues

Math. Methods Oper. Res.

Oper. Res. Lett.

Math. Oper. Res.

Queueing Syst. Theory Appl.

Publications

Lukasz Kruk
Instability of LRTF multiclass queueing networks. Oper. Res. Lett. 51 (3) (2023)
Robert Gieroba, Lukasz Kruk
Diffusion Limits for Shortest Remaining Processing Time Queues with Multiple Customer Types. FedCSIS (2023)
Lukasz Kruk
A singular stochastic control problem with direction switching cost. Math. Methods Oper. Res. 98 (3) (2023)
Lukasz Kruk, Robert Gieroba
Local edge minimality of SRPT networks with shared resources. Math. Methods Oper. Res. 96 (3) (2022)
Lukasz Kruk
Heavy traffic analysis for single-server SRPT and LRPT queues via EDF diffusion limits. Ann. Oper. Res. 310 (2) (2022)
Lukasz Kruk, Tymoteusz Chojecki
Instability of SRPT, SERPT and SJF multiclass queueing networks. Queueing Syst. Theory Appl. 101 (1-2) (2022)
Lukasz Kruk
Instability of LAS multiclass queueing networks. Oper. Res. Lett. 49 (1) (2021)
Lukasz Kruk
Minimal and Locally Edge Minimal Fluid Models for Resource-Sharing Networks. Math. Oper. Res. 46 (4) (2021)
Lukasz Kruk
First Frontier Monotonicity for Fluid Models of Multiclass EDF Queueing Networks. VALUETOOLS (2021)
Lukasz Kruk
Continuity and monotonicity of solutions to a greedy maximization problem. Math. Methods Oper. Res. 92 (1) (2020)
Lukasz Kruk
Diffusion Limits for SRPT and LRPT Queues via EDF Approximations. QTNA (2019)
Lukasz Kruk
Stability of linear EDF networks with resource sharing. Queueing Syst. Theory Appl. 88 (1-2) (2018)
Lukasz Kruk
Edge minimality of EDF resource sharing networks. Math. Methods Oper. Res. 86 (2) (2017)
Lukasz Kruk
Minimality of EDF networks with resource sharing. Math. Methods Oper. Res. 84 (2) (2016)
Lukasz Kruk, Ewa Sokolowska
Fluid Limits for Multiple-Input Shortest Remaining Processing Time Queues. Math. Oper. Res. 41 (3) (2016)
Marcin Boryc, Lukasz Kruk
Characterization of the Optimal Policy for a Multidimensional Parabolic Singular Stochastic Control Problem. SIAM J. Control. Optim. 54 (3) (2016)
Lukasz Kruk
An Open Queueing Network with Asymptotically Stable Fluid Model and Unconventional Heavy Traffic Behavior. Math. Oper. Res. 36 (3) (2011)
Lukasz Kruk
Functional Limit Theorems for a Simple Auction. Math. Oper. Res. 28 (4) (2003)
Lukasz Kruk, John P. Lehoczky, Steven E. Shreve
Second order approximation for the customer time in queue distribution under the FIFO service discipline. Ann. UMCS Informatica 1 (1) (2003)
Lukasz Kruk
Optimal policies for some n-dimensional singular stochastic control problems. CDC (2001)
Lukasz Kruk
Optimal Policies for n-Dimensional Singular Stochastic Control Problems. Part II: The Radially Symmetric Case. Ergodic Control. SIAM J. Control. Optim. 39 (2) (2000)
Lukasz Kruk
Optimal Policies for n-Dimensional Singular Stochastic Control Problems Part I: The Skorokhod Problem. SIAM J. Control. Optim. 38 (5) (2000)