Queueing theory & stochastic processes
Busy periods, vacation queues, service systems and stochastic models.
Research
Research by Igor Kleiner
Research across probability, stochastic processes, queueing theory, algorithms and data analysis — from theoretical models to applied problems in computer vision and blood screening.
6peer-reviewed journal articles
111citations
4Google Scholar h-index
Research areas
What I work on
My research connects mathematical modeling, algorithms and data-driven applications.
Algorithms & search games
Exact strategies, search costs, matching models and combinatorial decision problems.
Probability & applied statistics
Distributional approximations, uncertainty and probabilistic modeling.
Data-driven applications
Applications ranging from computer vision and property testing to blood-screening systems.
Current research · 2026
New work
Research accelerated in August–September 2026: three public preprints — two on Zenodo and one on arXiv — plus six additional manuscripts already submitted to journals.
Weighted Event-Growth Sequences: Enumeration and Bijections
A three-parameter model built from three intrinsic events: Level, Return and New. Rewards assigned to those events control future admissible values; despite the full-history definition, all continuation counts collapse to two state coordinates. This leads to a reversible Event-Slot encoding, a common differential system and direct bijections with several classical combinatorial objects.
Reuse-Growth Sequences: Insertion Bijections and Pattern Avoidance
Reuse of an earlier value changes how the sequence may grow. The resulting old/new extension counts match the insertion structure of simsun permutations, leading to direct bijections, Euler zigzag numbers and a structural study of length-three pattern avoidance.
An Exact Solution of the Two-Ball Multi-Look Search Game with Three Boxes and Heterogeneous Costs
An exact solution of a heterogeneous multi-look search-cost game with adaptive search strategies.
Open on arXiv →Six additional manuscripts
The active submission pipeline spans enumerative combinatorics, integer compositions, queueing theory, random structures and discrete probability.
- Balanced Even Parts in Integer Compositions: A Bijection to Nonnegative Walks
- Initial Runs in Integer Compositions: Lambert Series and Generalized Divisor Sums
- Completion-Shock Queues: Departure-Induced Invalidation and Endogenous Service Correlation
- Lit Cells in Integer Compositions: An Exact Identity and Sharp Asymptotics
- The Fragile Coupon Collector: Random Deadlines, Critical Fragility, and Optimal Sampling
- Discrete-Time M/M/1-Type Queues with Vacations and Disasters
Status: submitted / in editorial process. These manuscripts are listed separately from published papers and public preprints.
Next projects
In parallel, work continues on level sequences, random compositions, reconstruction problems and other probabilistic-combinatorial models. Public links will be added as preprints or accepted versions become available.
Published research
Peer-reviewed journal articles
Six journal articles. Journal metadata is based on the University of Haifa research portal and publisher records.
2023
A decomposition property for an MX/G/1 queue with vacations
Indagationes Mathematicae 34(5), 973–989
2023
Busy Periods for Queues Alternating Between Two Modes
Methodology and Computing in Applied Probability 25(2), Article 60
2018
FCFS Parallel Service Systems and Matching Models
Performance Evaluation 127–128, 253–272
2017
Recycled Incomplete Identification Procedures for Blood Screening
European Journal of Operational Research 259(1), 330–343
2016
A Numerical Study of Small Parameter Behavior of Some Families of Distributions
Communications in Statistics – Simulation and Computation 45(10), 3534–3547
2011
Applying Property Testing to an Image Partitioning Problem
IEEE Transactions on Pattern Analysis and Machine Intelligence 33(2), 256–265
Academic profiles
Research profiles and indexes
Google Scholar currently shows 111 citations (September 2026); other databases may differ and update on their own schedules.
Google ScholarCitations and bibliometric metricsUniversity of Haifa CRISOfficial institutional publication recordarXivPreprints and open research versionsResearchGatePublications, reads and academic networkDBLPCurated computer-science bibliographyResearch in Israeli CollegesExternal Israeli researcher profile connecting HIT, Data Science, AI in Education, statistics, algorithms and the book.ORCIDPersistent researcher identifier linking academic records across platforms.