Optimal Policies for n-Dimensional Singular Stochastic Control Problems Part I: The Skorokhod Problem. - Lukasz Kruk (SIAM J. Control. Optim., 2000)

Optimal Policies for n-Dimensional Singular Stochastic Control Problems. Part II: The Radially Symmetric Case. Ergodic Control. - Lukasz Kruk (SIAM J. Control. Optim., 2000)

Optimal policies for some n-dimensional singular stochastic control problems. - Lukasz Kruk (CDC, 2001)

Functional Limit Theorems for a Simple Auction. - Lukasz Kruk (Math. Oper. Res., 2003)

Second order approximation for the customer time in queue distribution under the FIFO service discipline. - Lukasz Kruk; John P. Lehoczky; Steven E. Shreve (Ann. UMCS Informatica, 2003)

An Open Queueing Network with Asymptotically Stable Fluid Model and Unconventional Heavy Traffic Behavior. - Lukasz Kruk (Math. Oper. Res., 2011)

Minimality of EDF networks with resource sharing. - Lukasz Kruk (Math. Methods Oper. Res., 2016)

Fluid Limits for Multiple-Input Shortest Remaining Processing Time Queues. - Lukasz Kruk; Ewa Sokolowska (Math. Oper. Res., 2016)

Characterization of the Optimal Policy for a Multidimensional Parabolic Singular Stochastic Control Problem. - Marcin Boryc; Lukasz Kruk (SIAM J. Control. Optim., 2016)

Edge minimality of EDF resource sharing networks. - Lukasz Kruk (Math. Methods Oper. Res., 2017)

Stability of linear EDF networks with resource sharing. - Lukasz Kruk (Queueing Syst. Theory Appl., 2018)

Diffusion Limits for SRPT and LRPT Queues via EDF Approximations. - Lukasz Kruk (QTNA, 2019)

Continuity and monotonicity of solutions to a greedy maximization problem. - Lukasz Kruk (Math. Methods Oper. Res., 2020)

First Frontier Monotonicity for Fluid Models of Multiclass EDF Queueing Networks. - Lukasz Kruk (VALUETOOLS, 2021)

Minimal and Locally Edge Minimal Fluid Models for Resource-Sharing Networks. - Lukasz Kruk (Math. Oper. Res., 2021)

Instability of LAS multiclass queueing networks. - Lukasz Kruk (Oper. Res. Lett., 2021)

Heavy traffic analysis for single-server SRPT and LRPT queues via EDF diffusion limits. - Lukasz Kruk (Ann. Oper. Res., 2022)

Local edge minimality of SRPT networks with shared resources. - Lukasz Kruk; Robert Gieroba (Math. Methods Oper. Res., 2022)

Instability of SRPT, SERPT and SJF multiclass queueing networks. - Lukasz Kruk; Tymoteusz Chojecki (Queueing Syst. Theory Appl., 2022)

Diffusion Limits for Shortest Remaining Processing Time Queues with Multiple Customer Types. - Robert Gieroba; Lukasz Kruk (FedCSIS, 2023)

Instability of LRTF multiclass queueing networks. - Lukasz Kruk (Oper. Res. Lett., 2023)

A singular stochastic control problem with direction switching cost. - Lukasz Kruk (Math. Methods Oper. Res., 2023)

Fluid Limits for Longest Remaining Time First Queues. - Lukasz Kruk (Math. Oper. Res., 2024)