PDF-6.4MB - Faculty of Industrial Engineering and Management
PDF-6.4MB - Faculty of Industrial Engineering and Management
PDF-6.4MB - Faculty of Industrial Engineering and Management
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Primitives: Time-Varying<br />
Predictably<br />
λt exogenous arrival rate;<br />
e.g., continuously changing, sudden peak.<br />
µ 1 t<br />
service rate;<br />
e.g., change in nature <strong>of</strong> work or fatigue.<br />
nt number <strong>of</strong> servers;<br />
e.g., in response to predictably varying workload.<br />
Q1(t) number <strong>of</strong> customers within call center<br />
(queue+service).<br />
βt ab<strong>and</strong>onment rate while waiting;<br />
e.g., in response to IVR discouragement<br />
at predictable overloading.<br />
ψt probability <strong>of</strong> no retrial.<br />
µ 2 t<br />
retrial rate;<br />
if constant, 1/µ 2 – average time to retry.<br />
Q2(t) number <strong>of</strong> customers that will retry (in orbit).<br />
In our examples, we vary λt only, while other primitives<br />
are held constant.<br />
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