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Choose single queue vs multiple queues

Last updated: Mar 29, 2026

Quick Overview

This question evaluates understanding of queueing theory, stochastic modeling of wait times, variability analysis, and the ability to state modeling assumptions and operational trade-offs in service systems.

  • easy
  • LinkedIn
  • Analytics & Experimentation
  • Data Scientist

Choose single queue vs multiple queues

Company: LinkedIn

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: easy

Interview Round: Technical Screen

## Bank queue design choice A bank has **5 tellers**. Two possible customer-flow designs: 1. **Single queue**: one common line feeding the next available teller (pooling). 2. **Multiple queues**: **5 separate lines**, one per teller (customers choose a line). ### Questions - Which design would you personally choose as a customer if you want to **minimize expected waiting time**? - Which design leads to **more/less variability (variance)** in waiting time? - State any assumptions you need (e.g., customers arrive randomly; tellers have i.i.d. service times; no line switching/jockeying). - Under what real-world conditions might the “worse” design become preferable (e.g., different teller speeds, priority customers, jockeying, perceived fairness)?

Quick Answer: This question evaluates understanding of queueing theory, stochastic modeling of wait times, variability analysis, and the ability to state modeling assumptions and operational trade-offs in service systems.

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LinkedIn
Feb 16, 2026, 7:49 AM
Data Scientist
Technical Screen
Analytics & Experimentation
1
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Bank queue design choice

A bank has 5 tellers.

Two possible customer-flow designs:

  1. Single queue : one common line feeding the next available teller (pooling).
  2. Multiple queues : 5 separate lines , one per teller (customers choose a line).

Questions

  • Which design would you personally choose as a customer if you want to minimize expected waiting time ?
  • Which design leads to more/less variability (variance) in waiting time?
  • State any assumptions you need (e.g., customers arrive randomly; tellers have i.i.d. service times; no line switching/jockeying).
  • Under what real-world conditions might the “worse” design become preferable (e.g., different teller speeds, priority customers, jockeying, perceived fairness)?

Solution

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