a) Define the following terms: (7 Marks)i) simulationii) system state variablesiii) discrete event simulation modeliv) systemv) system imagevi) simulation algorithmvii) Poisson arrival process

i) Simulation: This is a technique that is used to imitate the operation of a real-world process or system over time. It creates a model to represent this system and then analyses the model to draw inferences about the system.

ii) System State Variables: These are the variables that define the state of a system at any given time. They are used to represent the key parameters of the system that can change over time.

iii) Discrete Event Simulation Model: This is a type of simulation model where the state of the system changes at discrete points in time. The changes are driven by events, which are occurrences that change the state of the system.

iv) System: In the context of simulation, a system refers to the process or set of processes that are being modeled. It could be a physical system like a manufacturing process, or an abstract system like a computer network.

v) System Image: This is a representation or model of the system at a particular point in time. It includes the current values of all the system state variables.

vi) Simulation Algorithm: This is the set of rules or procedures used to implement the simulation model. It defines how the system state variables are updated over time and how the events are processed.

vii) Poisson Arrival Process: This is a type of stochastic process where events occur randomly and independently over time, with a constant average rate. It is often used in simulation models to represent the arrival of customers in a queue, calls to a call center, etc.