The study of queueing systems has been around for decades. Since, at its most basic level, queueing systems are considered as continuous-time Markov Chains, the study of queueing theory must adhere to numerous assumptions. Most of these assumptions deal with the distribution and behavior of customer arrivals and service times, as these are often illustrated as Poisson processes. Service prioritization, capacities, and customer behaviors such as balking and reneging are also often considered in model assumptions. Often not considered are the physical constraints associated with real-world queueing systems. In several real-world queues, customer movement is constrained by the available physical space, such as consecutive toll booths or grocery counters. There are multi-server queues with only one lane wherein a customer that has been served by the initial server cannot move out of the system if subsequent servers are still busy, thus rendering the initial server still occupied. In addition, servers located after the initial one cannot be accessed even if they are vacant if the initial server is still occupied. Due to this, the behavior of the system greatly differs from those of similar queueing systems where physical constraints are assumed to be non-existent. Through simulation, the study has evaluated that the performance of the physically-constrained queueing setup can lead to waiting times and queue lengths of up to 6 times greater than that of a traditional M/M/2 queue, especially for a relatively high level of customer arrivals. Improvements to these metrics are also measured upon the implementation of proposed corrective schemes that aim to ease the physical restrictions of queueing.