Fluid Queue Driven by an <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-2.8389pt" id="M1" height="15.0995pt" version="1.1" viewBox="-0.0657574 -12.2606 56.524 15.0995" width="56.524pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-78" d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"/></g><g transform="matrix(.017,0,0,-0.017,16.905,0)"><path id="g113-48" d="M368 703H309L44 -163H104L368 703Z"/></g><g transform="matrix(.017,0,0,-0.017,23.982,0)"><use xlink:href="#g113-78"/></g><g transform="matrix(.017,0,0,-0.017,40.888,0)"><use xlink:href="#g113-48"/></g><g transform="matrix(.017,0,0,-0.017,47.965,0)"><path id="g113-50" d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"/></g></svg> Queue Subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption

<div>Interaction between fluid model and the background queueing model.</div>

Advances in Operations Research

fig2

Figure 2

Figure 2: Fluid Queue Driven by an <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-2.8389pt" id="M1" height="15.0995pt" version="1.1" viewBox="-0.0657574 -12.2606 56.524 15.0995" width="56.524pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-78" d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"/></g><g transform="matrix(.017,0,0,-0.017,16.905,0)"><path id="g113-48" d="M368 703H309L44 -163H104L368 703Z"/></g><g transform="matrix(.017,0,0,-0.017,23.982,0)"><use xlink:href="#g113-78"/></g><g transform="matrix(.017,0,0,-0.017,40.888,0)"><use xlink:href="#g113-48"/></g><g transform="matrix(.017,0,0,-0.017,47.965,0)"><path id="g113-50" d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"/></g></svg> Queue Subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption 

Advances in Operations Research

Fluid Queue Driven by an Queue Subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption

Figure 2