{
lmm::System* Sys = lmm::make_new_maxmin_system(false);
- SECTION("Variable weight")
+ SECTION("Variable penalty")
{
/*
- * System under consideration:
- * 1\times\rho_1^{1} + 1\times\rho_2^{2} + 1\times\rho_3^{3} \le 10
- * Expectations:
- * - \rho_1 should have twice the resources of \rho_2
- * - \rho_1 should have thrice the resources of \rho_3
+ * A variable with twice the penalty gets half of the share
+ *
+ * In details:
+ * o System: a1 * p1 * \rho1 + a2 * p2 * \rho2 < C
+ * o consumption_weight: a1=1 ; a2=1
+ * o sharing_penalty: p1=1 ; p2=2
+ *
+ * Expectations
+ * o rho1 = 2* rho2 (because rho2 has twice the penalty)
+ * o rho1 + rho2 = C (because all weights are 1)
*/
- lmm::Constraint* sys_cnst = Sys->constraint_new(nullptr, 10);
- lmm::Variable* sys_var_1 = Sys->variable_new(nullptr, 1, 0.0, 1);
- lmm::Variable* sys_var_2 = Sys->variable_new(nullptr, 2, 0.0, 1);
- lmm::Variable* sys_var_3 = Sys->variable_new(nullptr, 3, 0.0, 1);
+ lmm::Constraint* sys_cnst = Sys->constraint_new(nullptr, 3);
+ lmm::Variable* rho_1 = Sys->variable_new(nullptr, 1);
+ lmm::Variable* rho_2 = Sys->variable_new(nullptr, 2);
- Sys->expand(sys_cnst, sys_var_1, 1);
- Sys->expand(sys_cnst, sys_var_2, 1);
- Sys->expand(sys_cnst, sys_var_3, 1);
+ Sys->expand(sys_cnst, rho_1, 1);
+ Sys->expand(sys_cnst, rho_2, 1);
Sys->solve();
- REQUIRE(double_equals(sys_var_1->get_value(), 5.45455, sg_maxmin_precision));
- REQUIRE(double_equals(sys_var_2->get_value(), 2.72727, sg_maxmin_precision));
- REQUIRE(double_equals(sys_var_3->get_value(), 1.81818, sg_maxmin_precision));
+ REQUIRE(double_equals(rho_1->get_value(), 2, sg_maxmin_precision));
+ REQUIRE(double_equals(rho_2->get_value(), 1, sg_maxmin_precision));
}
SECTION("Consumption weight")
{
/*
- * System under consideration:
- * 1\times\rho_1^{1} + 2\times\rho_2^{1} + 3\times\rho_3^{1} \le 10
- * Expectations:
- * - All variable should have the same amount of resources
- * - This amount should be equal to \frac{10}{\sum{\text{consumption weight}}}
+ * Variables of higher consumption weight consume more resource but get the same share
+ *
+ * In details:
+ * o System: a1 * p1 * \rho1 + a2 * p2 * \rho2 < C
+ * o consumption_weight: a1=1 ; a2=2
+ * o sharing_penalty: p1=1 ; p2=1
+ *
+ * Expectations
+ * o rho1 = rho2 (because all penalties are 1)
+ * o rho1 + 2* rho2 = C (because weight_2 is 2)
+ * o so, rho1 = rho2 = 1 (because C is 3)
*/
- lmm::Constraint* sys_cnst = Sys->constraint_new(nullptr, 10);
- lmm::Variable* sys_var_1 = Sys->variable_new(nullptr, 1, 0.0, 1);
- lmm::Variable* sys_var_2 = Sys->variable_new(nullptr, 1, 0.0, 1);
- lmm::Variable* sys_var_3 = Sys->variable_new(nullptr, 1, 0.0, 1);
+ lmm::Constraint* sys_cnst = Sys->constraint_new(nullptr, 3);
+ lmm::Variable* rho_1 = Sys->variable_new(nullptr, 1);
+ lmm::Variable* rho_2 = Sys->variable_new(nullptr, 1);
- Sys->expand(sys_cnst, sys_var_1, 1);
- Sys->expand(sys_cnst, sys_var_2, 2);
- Sys->expand(sys_cnst, sys_var_3, 3);
+ Sys->expand(sys_cnst, rho_1, 1);
+ Sys->expand(sys_cnst, rho_2, 2);
Sys->solve();
- REQUIRE(double_equals(sys_var_1->get_value(), 1.666667, sg_maxmin_precision));
- REQUIRE(double_equals(sys_var_2->get_value(), 1.666667, sg_maxmin_precision));
- REQUIRE(double_equals(sys_var_3->get_value(), 1.666667, sg_maxmin_precision));
+ REQUIRE(double_equals(rho_1->get_value(), 1, sg_maxmin_precision));
+ REQUIRE(double_equals(rho_2->get_value(), 1, sg_maxmin_precision));
}
SECTION("Consumption weight + variable weight")
*/
lmm::Constraint* sys_cnst = Sys->constraint_new(nullptr, 123);
- lmm::Variable* sys_var_1 = Sys->variable_new(nullptr, 56, 0.0, 1);
- lmm::Variable* sys_var_2 = Sys->variable_new(nullptr, 21, 0.0, 1);
- lmm::Variable* sys_var_3 = Sys->variable_new(nullptr, 3, 0.0, 1);
+ lmm::Variable* sys_var_1 = Sys->variable_new(nullptr, 56);
+ lmm::Variable* sys_var_2 = Sys->variable_new(nullptr, 21);
+ lmm::Variable* sys_var_3 = Sys->variable_new(nullptr, 3);
Sys->expand(sys_cnst, sys_var_1, 74);
Sys->expand(sys_cnst, sys_var_2, 6);