Waiting Line Analysis in Operations
Management
Waiting Line Problem - ANS Challenges associated with customer wait times.
Queueing Systems - ANS Models representing waiting lines in various contexts.
Utilization (ρ) - ANS Ratio of arrival rate to service rate.
Poisson Distribution - ANS Describes random arrivals over a time interval.
Exponential Distribution - ANS Describes time between successive random arrivals.
Constant Service Time - ANS Fixed time between customer service completions.
Model 1 - ANS Used for variable arrivals and service times.
Model 2 - ANS Used for variable arrivals with constant service time.
Lq - ANS Average number of customers waiting in line.
Ws - ANS Average time a customer spends in the system.
Pn - ANS Probability of n customers in the system.
Wq - ANS Average time a customer waits in line.
Ls - ANS Average number of customers in the system.
Service Node - ANS Point where customers receive service.
Queue Discipline - ANS Rules determining customer service order.
Arrival Rate (λ) - ANS Average number of arrivals per time unit.
Service Rate (µ) - ANS Average number of services completed per time unit.
Single-phase System - ANS One line for service without multiple stages.
Network of Queues - ANS Multiple interconnected waiting lines.
Management
Waiting Line Problem - ANS Challenges associated with customer wait times.
Queueing Systems - ANS Models representing waiting lines in various contexts.
Utilization (ρ) - ANS Ratio of arrival rate to service rate.
Poisson Distribution - ANS Describes random arrivals over a time interval.
Exponential Distribution - ANS Describes time between successive random arrivals.
Constant Service Time - ANS Fixed time between customer service completions.
Model 1 - ANS Used for variable arrivals and service times.
Model 2 - ANS Used for variable arrivals with constant service time.
Lq - ANS Average number of customers waiting in line.
Ws - ANS Average time a customer spends in the system.
Pn - ANS Probability of n customers in the system.
Wq - ANS Average time a customer waits in line.
Ls - ANS Average number of customers in the system.
Service Node - ANS Point where customers receive service.
Queue Discipline - ANS Rules determining customer service order.
Arrival Rate (λ) - ANS Average number of arrivals per time unit.
Service Rate (µ) - ANS Average number of services completed per time unit.
Single-phase System - ANS One line for service without multiple stages.
Network of Queues - ANS Multiple interconnected waiting lines.