admitdepend

admitdepend is a theoretical concept in the study of admission control systems and stochastic processes, describing how the decision to admit a new request depends on the current set of admitted requests and their states. It formalizes a dependency structure that contrasts with models assuming independent admission events.

Formally, admitdepend evaluates how the probability of admitting a new request changes with the composition of the admitted set and resource usage. Let the system state s encode which tasks are admitted and their resource consumption. An admission policy maps an incoming request and the current state to an action (admit or reject). A measure of admit-dependence quantifies the change in P(admit | s) as s varies, capturing whether admission decisions are influenced by the specific identities or loads of currently admitted tasks. In memoryless configurations, P(admit | s) remains constant; admit-dependent configurations exhibit variability with s.

Origins: The term appears in theoretical computer science and operations research literature in the 2010s as researchers examined admissions under tight resource constraints and coupled or interdependent requests.

Properties: Admit-dependence is distinct from independence assumptions used in many queueing models. It can be modeled with Markov decision processes, Bayesian networks, or conditional random fields, and it affects performance metrics such as throughput, average waiting time, latency, and starvation risk.

Applications: It is used in cloud resource management, network access control, hospital triage simulations, and manufacturing systems where the ability to admit new tasks is constrained by current load or existing commitments.

Examples: A cloud service throttles new instances when total CPU utilization approaches a threshold; a hospital adjusts admissions based on bed availability and ongoing procedures.

See also: Admission control, queueing theory, Markov decision process, resource allocation.