The effects of video racing games on risk-taking in consideration of the game experience

bivariate spearman rank correlation analysis

pone.0240367.e001">removedGRAPHIC c=c ' + ∑ i=1

The assessment of the impact of glistening on visual performance in relation to tear film quality

Experiences of tobacco cessation including a prescription approach among patients in Swedish primary health care with a focus on socioeconomically disadvantaged areas

A novel two-phase robust portfolio selection and optimization approach under uncertainty: A case study of Tehran stock exchange

undesirable outcome robust optimization method

t=1..., T</disp formula><disp formula id="pone.0239810.e002
pone.0239810.e004">removedGRAPHIC Θ MV Min ∑ j=1 n omega j 2 σ j 2 + 2 ∑ j=1 n -1 ∑ h=j + 1 n omega j omega h σ j h=∑ j=1 n ∑ h=1 n omega j omega h σ j h S. t. ∑ j=1 n R ¯ j omega j<R E ∑ j=1 n omega j=1 omega j<0
pone.0239810.e006">removedGRAPHIC A D=| R E - ∑ j=1
pone.0239810.e007">removedGRAPHIC Θ Classic CCR - IO Max ∑ r=1
v i<=0, ∀ j u r, v i<0, ∀ r, i</disp formula><disp formula id="pone.0239810.e008">removedGRAPHIC Θ Classic CCR - OO Min ∑ i=1
v i<=0, ∀ j u r, v i<0, ∀ r, i</disp formula><disp formula id="pone.0239810.e009">removedGRAPHIC Θ Classic BCC - IO Max ∑ r=1
w 0<=0, ∀ j u r, v i<0, ∀ r, i</disp formula><disp formula id="pone.0239810.e010">removedGRAPHIC Θ Classic BCC - OO Min ∑ i=1
w 0<=0, ∀ j u r, v i<0, ∀ r, i</disp formula><disp formula id="pone.0239810.e011">removedGRAPHIC Θ Classic ADD CRS Min ∑ i=1
i</disp formula><disp formula id="pone.0239810.e012">removedGRAPHIC Θ Classic ADD VRS Min ∑ i=1
b ϕ<0</disp formula><disp formula id="pone.0239810.e016
pone.0239810.e018">removedGRAPHIC Θ Classic CF CCR - IO</disp formula><disp formula id="pone.0239810.e019">removedGRAPHIC Max u y 0 S. t. v x 0=1
v<0</disp formula><disp formula id="pone.0239810.e020">removedGRAPHIC Max u y 0 S. t. v x 0<=1
pone.0239810.e040">removedGRAPHIC Θ Classic CF CCR - OO</disp formula><disp formula id="pone.0239810.e041">removedGRAPHIC Min v x 0 S. t. u y 0=1
v<0</disp formula><disp formula id="pone.0239810.e042">removedGRAPHIC Min v x 0 S. t. u y 0<1
pone.0239810.e061">removedGRAPHIC Θ Classic CF BCC - IO</disp formula><disp formula id="pone.0239810.e062">removedGRAPHIC Max u y 0 + w 0 S. t. v x 0=1
w 0<=0, ∀ j u, v<0</disp formula><disp formula id="pone.0239810.e063">removedGRAPHIC Max u y 0 + w 0 S. t. v x 0<=1
w 0<=0, ∀ j u, v<0</disp formula>Proposition 3
pone.0239810.e084">removedGRAPHIC Θ Classic CF BCC - OO</disp formula><disp formula id="pone.0239810.e085">removedGRAPHIC Min v x 0 - w 0 S. t. u y 0=1
w 0<=0, ∀ j u, v<0</disp formula><disp formula id="pone.0239810.e086">removedGRAPHIC Min v x 0 - w 0 S. t. u y 0<1
w 0<=0, ∀ j u, v<0</disp formula>Proposition 4
pone.0239810.e106">removedGRAPHIC Θ Robust CCR - IO Max Ψ S. t. Ψ - ∑ r=1
j x<=0, ∀ j Z 0 y + P r 0 y<delta y r 0 u r, ∀ r Z 0 x + P i 0 x<delta x i 0
v i<0, ∀ j, r, i</disp formula><disp formula id="pone.0239810.e107">removedGRAPHIC Θ Robust CCR - OO Min Ψ S. t. ∑ i=1
j x<=0, ∀ j Z 0 x + P i 0 x<delta x i 0 v i, ∀ i Z 0 y + P r 0 y<delta y r 0
v i<0, ∀ j, r, i</disp formula><disp formula id="pone.0239810.e108">removedGRAPHIC Θ Robust BCC - IO Min Ψ S. t. Ψ - ∑ r=1
v i<0, ∀ j, r, i</disp formula><disp formula id="pone.0239810.e109">removedGRAPHIC Θ Robust BCC - OO Min Ψ S. t. ∑ i=1
v i<0, ∀ j, r, i</disp formula><disp formula id="pone.0239810.e110">removedGRAPHIC Θ Robust ADD CRS Min Ψ S. t. - ∑ r=1
v i<0, ∀ j, r, i</disp formula><disp formula id="pone.0239810.e111">removedGRAPHIC Θ Robust ADD VRS Min Ψ S. t. - ∑ r=1
pone.0239810.e112">removedGRAPHIC 1 - delta i=1 - Phi (Γ i -1 n) ⇔ Γ i=1 + Phi (1 - delta i) -1
pone.0239810.e113">removedGRAPHIC Θ MSVL Min 1 T ∑ t=1 T ξ t 2 S. t. ∑ j=1 n R ¯ j omega j<R E ∑ j=1 n L ¯ j omega j<L E ξ t<R E - ∑ j=1
tau j ∈ { 0, 1 }, ∀ j ξ t, omega j<0, ∀ t, j</disp formula><disp formula id="pone.0239810.e114">removedGRAPHIC Θ MADL Min 1 T ∑ t=1 T ζ t S. t. ∑ j=1 n R ¯ j omega j<R E ∑ j=1 n L ¯ j omega j<L E ζ t<R E - ∑ j=1
pone.0239810.e115">removedGRAPHIC Θ Robust MSVL Min 1 T ∑ t=1 T ξ t 2 S. t. - ∑ j=1 n R ¯ j omega j + Z R ¯ Γ R ¯ + ∑ j=1
R ¯<=-R E - ∑ j=1 n L ¯ j omega j + Z L ¯ Γ L ¯ + ∑ j=1
tau j ∈ { 0, 1 }, ∀ j ξ t, omega j<0, ∀ t, j</disp formula><disp formula id="pone.0239810.e116">removedGRAPHIC Θ Robust MADL Min 1 T ∑ t=1 T ζ t S. t. - ∑ j=1 n R ¯ j omega j + Z R ¯ Γ R ¯ + ∑ j=1
pone.0239810.e118">removedGRAPHIC D D=1 T ∑ t=1
R<=0</disp formula>Now, by applying Eqs (32)-(36