Sentence examples similar to sum limited from inspiring English sources

Expected inventory level, EI, in the system is given by {text{EI}} = mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = s + 1}^{S} mathop sum limits_{k = 0}^{j} jy_{i,0,j,k} + mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = 0}^{S - 1} mathop sum limits_{k = 0}^{j} jy_{i,1,j,k}.

Expected number of departures, EDS, after completing service is {text{EDS}} = mu left[ {mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = s + 1}^{S} mathop sum limits_{k = 1}^{S} y_{i,0,j,k} + mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = 1}^{S - 1} mathop sum limits_{k = 1}^{S} y_{i,1,j,k} } right].

Which means that, begin{aligned} sum limits _{n=1}^{infty }varphi _{beta }^{n}(t) = sum limits _{n=1}^{ell }varphi _{beta }^{n}(t)+sum limits _{n=1}^{infty }varphi _{beta }^{ell +n}(t) le sum limits _{n=1}^{ell }varphi _{beta }^{n}(t)+sum limits _{n=1}^{infty }varphi _{beta }^{n}(s)

The final linear model is written as follows: begin{aligned} {text{Min }}Z, & = mathop sum limits_{h = 1}^{H} mathop sum limits_{c = 1}^{C} mathop sum limits_{p = 1}^{P} mathop sum limits_{j = 1}^{{O_{p} }} mathop sum limits_{m = 1}^{M} beta_{ms} cdot t_{jpm } cdot varphi_{jpmchs} + {text{Eq}}. left( {1.1} right) + {text{Eq}}.

Successful rate of retrials, {text{SRR}} = theta mathop sum limits_{i = 1}^{infty } ileft[ {mathop sum limits_{j = s + 1}^{S} mathop sum limits_{k = 0}^{j - 1} y_{i,0,j,k} + mathop sum limits_{j = 1}^{S - 1} mathop sum limits_{k = 0}^{j - 1} y_{i,1,j,k} } right].

Although Eq. (28) is a nonlinear function, the absolute term is transformed into the linear form as follows: {text{min }}; = mathop sum limits_{s = 1}^{S} p_{s } TC_{s} + lambda_{1} mathop sum limits_{s = 1}^{S} p_{s } left( {p_{s} + q_{s} } right) + omega mathop sum limits_{s = 1}^{S} mathop sum limits_{m = 1}^{M} mathop sum limits_{h = 1}^{H} p_{s} delta_{phs}.

{text{Minimize WIT}} = mathop sum limits_{j = 1}^{M} q_{j}^{prime } mathop sum limits_{r = 1}^{R} left( {C - mathop sum limits_{i = 1}^{I} x_{ir} times t_{ir} } right).

It follows that begin{aligned} v=lim limits _{n rightarrow infty } sum limits _{ pin P_ncap Arr(W')}pp^*=sum limits _{ pin Arr v,W')}pp^*.

The problem formulation is as follows: {text{Min}},Z = mathop sum limits_{i in G} mathop sum limits_{j in G} mathop sum limits_{k in K} C_{k} d_{ij} x_{ijk} + mathop sum limits_{j in J} F_{j} z_{j} + mathop sum limits_{{ a,b) in E_{m} }} mathop sum limits_{m in M} mathop sum limits_{j in J} D_{ab} C_{m} w_{ab}^{jm} + mathop sum limits_{{v in V_{text{two}} }} C_{V} y_{v} (1) s.t.

A function (f x,y in L^2 [0,1 times [0,1))) may be expanded as in terms of two-dimensional Bernoulli wavelets as begin{aligned} f x,y)=sum limits _{n=1}^{infty } sum limits _{i=0}^{infty } sum limits _{l=1}^{infty } sum limits _{j=0}^{infty } c_{nilj}varphi _{nilj} x,y).

Therefore, NLP model (13 15) converts into the following LP model: hbox{max} ;mathop sum limits_{s in varOmega }^ mathop sum limits_{r = 1}^{;t} p_{s} u_{r} y_{ros} - gamma mathop sum limits_{s in varOmega }^ p_{s} delta_{so} - lambda mathop sum limits_{s in varOmega } p_{s} left( {Q_{s}^ + Q_{s}^ right), (16 s.t.t