Class Solver_mam_ldqbd

java.lang.Object
jline.solvers.mam.handlers.Solver_mam_ldqbd

public final class Solver_mam_ldqbd extends Object
Solver for single-class closed queueing networks using Level-Dependent QBD. Uses Level-Dependent Quasi-Birth-Death (LD-QBD) process to compute performance metrics for single-class closed queueing networks consisting of a Delay (infinite server) and a Queue (FCFS). Exactness: exact for exponential service at any number of servers, and for PH service at a single server. For PH service with c > 1 servers it is an approximation: the c parallel PH servers are collapsed into one PH process scaled by min(n,c), which ignores the phase of each individual busy server (the exact chain tracks the multiset of the min(n,c) in-service phases). The LD-QBD approach models the system where: - Level n = number of jobs at the queue (0 <= n <= N) - Jobs at delay = N - n - Transition rates depend on the current level Supports PH-type service distributions (Exp, Erlang, HyperExp, etc.)